首页 > 最新文献

Int. J. Bifurc. Chaos最新文献

英文 中文
A Novel Chaotic Image Encryption Algorithm Based on Propositional Logic Coding 一种基于命题逻辑编码的混沌图像加密算法
Pub Date : 2023-06-30 DOI: 10.1142/s021812742350089x
Haiping Chang, Erfu Wang, Jia Liu
This paper proposes a new chaotic system 2D-HLM, which is a combination of Henon map and logistic map. SHA-256 algorithm based on the plaintext image produces the initial value, which enhances the correlation with the plaintext. Therefore, the algorithm avoids the disadvantages of being easily cracked by selected plaintext attacks. The chaotic sequence generated by 2D-HLM is adopted to scramble an image, and the bit plane is extracted and reorganized on the scrambled image. Based on the relationship between two mathematical propositions of the logistic map operations, a novel propositional logic coding algorithm is proposed. The simulation results show that the algorithm has large key space and high key sensitivity, and can resist common attacks such as differential attack.
本文提出了一种新的混沌系统2D-HLM,它是Henon映射和logistic映射的结合。SHA-256算法基于明文图像生成初始值,增强了与明文的相关性。因此,该算法避免了被选择性明文攻击容易破解的缺点。利用2D-HLM产生的混沌序列对图像进行置乱,在置乱后的图像上提取位平面并进行重组。基于逻辑映射运算的两个数学命题之间的关系,提出了一种新的命题逻辑编码算法。仿真结果表明,该算法具有较大的密钥空间和较高的密钥灵敏度,能够抵御差分攻击等常见攻击。
{"title":"A Novel Chaotic Image Encryption Algorithm Based on Propositional Logic Coding","authors":"Haiping Chang, Erfu Wang, Jia Liu","doi":"10.1142/s021812742350089x","DOIUrl":"https://doi.org/10.1142/s021812742350089x","url":null,"abstract":"This paper proposes a new chaotic system 2D-HLM, which is a combination of Henon map and logistic map. SHA-256 algorithm based on the plaintext image produces the initial value, which enhances the correlation with the plaintext. Therefore, the algorithm avoids the disadvantages of being easily cracked by selected plaintext attacks. The chaotic sequence generated by 2D-HLM is adopted to scramble an image, and the bit plane is extracted and reorganized on the scrambled image. Based on the relationship between two mathematical propositions of the logistic map operations, a novel propositional logic coding algorithm is proposed. The simulation results show that the algorithm has large key space and high key sensitivity, and can resist common attacks such as differential attack.","PeriodicalId":13688,"journal":{"name":"Int. J. Bifurc. Chaos","volume":"25 1","pages":"2350089:1-2350089:18"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76870066","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Managing the Use of Insecticides in Agricultural Fields: A Modeling Study 管理杀虫剂在农业领域的使用:一个模型研究
Pub Date : 2023-06-30 DOI: 10.1142/s0218127423500955
A. Misra, A. Yadav
At present time, sustainable crop production is of prime importance due to the expansion of human population and diminishing cultivable land. Insects attack the plants’ roots, blooms and leaves and lessen the agricultural production across the globe. In this research work, we propose a nonlinear mathematical model to manage the spray of insecticides to control insect population and increase crop production. In the model formulation, we consider that the spraying of insecticides is attributed to both the density of insects and loss in crop production. This study identifies the range of spraying rate of insecticides at which the model system shows bistability behavior and its threshold value after which system stabilizes to the equilibrium with higher crop production. Further, we have also demonstrated that the model undergoes transcritical, saddle-node, Hopf, and Bogdanov–Takens bifurcations. The extensive numerical simulation is performed to validate the analytical findings.
目前,由于人口的增长和可耕地的减少,可持续的作物生产是至关重要的。昆虫攻击植物的根、花和叶,减少了全球的农业产量。在本研究中,我们提出了一个非线性数学模型来管理杀虫剂的喷洒,以控制昆虫数量和提高作物产量。在模型公式中,我们认为杀虫剂的喷洒是由于昆虫的密度和作物生产的损失。本研究确定了模型系统表现出双稳定行为的杀虫剂喷洒量范围及其阈值,该阈值之后系统稳定到作物产量较高的平衡状态。此外,我们还证明了该模型经历了跨临界、鞍节点、Hopf和Bogdanov-Takens分岔。进行了广泛的数值模拟来验证分析结果。
{"title":"Managing the Use of Insecticides in Agricultural Fields: A Modeling Study","authors":"A. Misra, A. Yadav","doi":"10.1142/s0218127423500955","DOIUrl":"https://doi.org/10.1142/s0218127423500955","url":null,"abstract":"At present time, sustainable crop production is of prime importance due to the expansion of human population and diminishing cultivable land. Insects attack the plants’ roots, blooms and leaves and lessen the agricultural production across the globe. In this research work, we propose a nonlinear mathematical model to manage the spray of insecticides to control insect population and increase crop production. In the model formulation, we consider that the spraying of insecticides is attributed to both the density of insects and loss in crop production. This study identifies the range of spraying rate of insecticides at which the model system shows bistability behavior and its threshold value after which system stabilizes to the equilibrium with higher crop production. Further, we have also demonstrated that the model undergoes transcritical, saddle-node, Hopf, and Bogdanov–Takens bifurcations. The extensive numerical simulation is performed to validate the analytical findings.","PeriodicalId":13688,"journal":{"name":"Int. J. Bifurc. Chaos","volume":"40 1","pages":"2350095:1-2350095:18"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75188953","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Scaling Analysis at Transition of Chaos Driven by Euler's Numerical Algorithm 由欧拉数值算法驱动的混沌转换的尺度分析
Pub Date : 2023-06-30 DOI: 10.1142/s021812742350092x
Jinde Cao, Ashish
Chaos is a nonlinear phenomenon that reveals itself everywhere in nature and in many fields of science. It has gained increasing attention from researchers and scientists over the last two decades. In this article, the nature of the fixed and periodic states are examined for a discrete two-parameter map; a composition of Euler’s numerical map and the logistic map. Further, the dynamical properties such as fixed states, period-doubling, and stability in fixed and periodic states are also described and the onset of chaos is characterized in detail followed by a few lemmas and remarks. Afterward, some scaling methods such as the bifurcation scale, fork-width scale, and Lyapunov exponent are illustrated to examine the appearance of chaos for the discrete two-parameter map. Experimental and numerical simulations are conducted followed by some bifurcation graphs, tables, and remarks. The scaling property is discussed in two key parameters. In addition, a comparative analysis of fork-width length, bifurcation length, and the maximum Lyapunov exponent is also presented to demonstrate the validity of the results.
混沌是一种非线性现象,它在自然界和许多科学领域中无处不在。在过去的二十年里,它越来越受到研究人员和科学家的关注。本文研究了离散双参数映射的固定态和周期态的性质;欧拉数值映射和逻辑映射的组合。此外,还描述了系统的动力学特性,如固定状态、周期加倍、固定状态和周期状态下的稳定性,并详细描述了混沌的开始,随后给出了一些引理和注释。然后,举例说明了一些标度方法,如分岔标度、叉宽标度和Lyapunov指数,以检查离散双参数映射的混沌外观。进行了实验和数值模拟,并给出了一些分岔图、表和注释。讨论了两个关键参数的标度特性。此外,通过对分叉长度、分叉长度和最大Lyapunov指数的比较分析,验证了所得结果的有效性。
{"title":"Scaling Analysis at Transition of Chaos Driven by Euler's Numerical Algorithm","authors":"Jinde Cao, Ashish","doi":"10.1142/s021812742350092x","DOIUrl":"https://doi.org/10.1142/s021812742350092x","url":null,"abstract":"Chaos is a nonlinear phenomenon that reveals itself everywhere in nature and in many fields of science. It has gained increasing attention from researchers and scientists over the last two decades. In this article, the nature of the fixed and periodic states are examined for a discrete two-parameter map; a composition of Euler’s numerical map and the logistic map. Further, the dynamical properties such as fixed states, period-doubling, and stability in fixed and periodic states are also described and the onset of chaos is characterized in detail followed by a few lemmas and remarks. Afterward, some scaling methods such as the bifurcation scale, fork-width scale, and Lyapunov exponent are illustrated to examine the appearance of chaos for the discrete two-parameter map. Experimental and numerical simulations are conducted followed by some bifurcation graphs, tables, and remarks. The scaling property is discussed in two key parameters. In addition, a comparative analysis of fork-width length, bifurcation length, and the maximum Lyapunov exponent is also presented to demonstrate the validity of the results.","PeriodicalId":13688,"journal":{"name":"Int. J. Bifurc. Chaos","volume":"32 1","pages":"2350092:1-2350092:13"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86375091","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
2D Linear CA with Mixing Boundary Conditions and Reversibility 具有混合边界条件和可逆性的二维线性CA
Pub Date : 2023-06-30 DOI: 10.1142/s0218127423500943
Doston Jumaniyozov, J. Casas, M. González, B. Omirov, Shovkat Redjepov
In this paper, we consider two-dimensional cellular automata (CA) with the von Neumann neighborhood. We study the characterization of 2D linear cellular automata defined by the von Neumann neighborhood with new type of boundary conditions over the field [Formula: see text]. Furthermore, we investigate the rule matrices of 2D von Neumann CA by applying the group of permutations [Formula: see text]. Moreover, the algorithm for computing the rank of rule matrices is given. Finally, necessary and sufficient conditions for the existence of Garden of Eden configurations for considered two-dimensional cellular automata are obtained.
本文考虑具有von Neumann邻域的二维元胞自动机(CA)。我们研究了由von Neumann邻域定义的二维线性元胞自动机在场上具有新型边界条件的表征[公式:见文本]。此外,我们利用置换群研究了二维von Neumann CA的规则矩阵[公式:见文本]。并给出了规则矩阵秩的计算算法。最后,得到了所考虑的二维元胞自动机存在伊甸园构型的充分必要条件。
{"title":"2D Linear CA with Mixing Boundary Conditions and Reversibility","authors":"Doston Jumaniyozov, J. Casas, M. González, B. Omirov, Shovkat Redjepov","doi":"10.1142/s0218127423500943","DOIUrl":"https://doi.org/10.1142/s0218127423500943","url":null,"abstract":"In this paper, we consider two-dimensional cellular automata (CA) with the von Neumann neighborhood. We study the characterization of 2D linear cellular automata defined by the von Neumann neighborhood with new type of boundary conditions over the field [Formula: see text]. Furthermore, we investigate the rule matrices of 2D von Neumann CA by applying the group of permutations [Formula: see text]. Moreover, the algorithm for computing the rank of rule matrices is given. Finally, necessary and sufficient conditions for the existence of Garden of Eden configurations for considered two-dimensional cellular automata are obtained.","PeriodicalId":13688,"journal":{"name":"Int. J. Bifurc. Chaos","volume":"29 1","pages":"2350094:1-2350094:19"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91190776","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bifurcations and Exact Traveling Wave Solutions of the Generalized Serre-Green-Naghdi System with Weak Coriolis Effect and Surface Tension 具有弱科里奥利效应和表面张力的广义Serre-Green-Naghdi系统的分岔和精确行波解
Pub Date : 2023-06-30 DOI: 10.1142/s0218127423501018
Maoan Han, Guanrong Chen, Jibin Li
For the generalized Serre–Green–Naghdi system with weak Coriolis effect and surface tension, by using the dynamical system methods and singular traveling wave theory developed by Li and Chen [2007] to its associate traveling wave system, under different parameter conditions, all possible bounded solutions (solitary wave solutions, periodic wave solutions, peakons, periodic peakons as well as compacton solution families) are obtained. Exact explicit parametric representations are given.
对于具有弱科里奥利效应和表面张力的广义Serre-Green-Naghdi系统,利用Li和Chen[2007]对其关联行波系统的动力系统方法和奇异行波理论,在不同参数条件下,得到了所有可能的有界解(孤波解、周期波解、峰、周期峰以及紧实解族)。给出了精确的显式参数表示。
{"title":"Bifurcations and Exact Traveling Wave Solutions of the Generalized Serre-Green-Naghdi System with Weak Coriolis Effect and Surface Tension","authors":"Maoan Han, Guanrong Chen, Jibin Li","doi":"10.1142/s0218127423501018","DOIUrl":"https://doi.org/10.1142/s0218127423501018","url":null,"abstract":"For the generalized Serre–Green–Naghdi system with weak Coriolis effect and surface tension, by using the dynamical system methods and singular traveling wave theory developed by Li and Chen [2007] to its associate traveling wave system, under different parameter conditions, all possible bounded solutions (solitary wave solutions, periodic wave solutions, peakons, periodic peakons as well as compacton solution families) are obtained. Exact explicit parametric representations are given.","PeriodicalId":13688,"journal":{"name":"Int. J. Bifurc. Chaos","volume":"39 1","pages":"2350101:1-2350101:15"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77022050","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Chaotic Behaviors of a Delay Partial Difference Equation with a Delay Controller 带时滞控制器的时滞偏差分方程的混沌行为
Pub Date : 2023-06-30 DOI: 10.1142/s0218127423500992
Yong-jin Zhang, Wei Liang, Xuanxuan Zhang
A delay partial difference equation with a delay controller is studied in this paper. We show that it can lead to both Devaney chaos and Li–Yorke chaos by applying the modified Marotto’s theorem, with three criteria established for generating chaos. Computer simulations of chaotic behaviors and spatiotemporal graphs are performed with three examples.
研究了一类带时滞控制器的时滞偏差分方程。我们通过应用修正的Marotto定理证明了它可以导致Devaney混沌和Li-Yorke混沌,并建立了产生混沌的三个准则。通过三个实例对混沌行为和时空图进行了计算机模拟。
{"title":"Chaotic Behaviors of a Delay Partial Difference Equation with a Delay Controller","authors":"Yong-jin Zhang, Wei Liang, Xuanxuan Zhang","doi":"10.1142/s0218127423500992","DOIUrl":"https://doi.org/10.1142/s0218127423500992","url":null,"abstract":"A delay partial difference equation with a delay controller is studied in this paper. We show that it can lead to both Devaney chaos and Li–Yorke chaos by applying the modified Marotto’s theorem, with three criteria established for generating chaos. Computer simulations of chaotic behaviors and spatiotemporal graphs are performed with three examples.","PeriodicalId":13688,"journal":{"name":"Int. J. Bifurc. Chaos","volume":"1 1","pages":"2350099:1-2350099:13"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77282107","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Generalization of the Periodic Orbit Dividing Surface for Hamiltonian Systems with Three or More Degrees of Freedom - IV 三或多自由度哈密顿系统周期轨道划分曲面的推广- IV
Pub Date : 2023-06-30 DOI: 10.1142/s0218127423300203
M. Katsanikas, S. Wiggins
Recently, we presented two methods of constructing periodic orbit dividing surfaces for Hamiltonian systems with three or more degrees of freedom [Katsanikas & Wiggins, 2021a, 2021b]. These methods were illustrated with an application to a quadratic normal form Hamiltonian system with three degrees of freedom. More precisely, in these papers we constructed a section of the dividing surfaces that intersect with the hypersurface [Formula: see text]. This was motivated by studies in reaction dynamics since in this model reaction occurs when the sign of the [Formula: see text] coordinate changes. In this paper, we continue the work of the third paper [Katsanikas & Wiggins, 2023] of this series of papers to construct the full dividing surfaces that are obtained by our algorithms and to prove the no-recrossing property. In the third paper we did this for the dividing surfaces of the first method [Katsanikas & Wiggins, 2021a]. Now we are doing the same for the dividing surfaces of the second method [Katsanikas & Wiggins, 2021b]. In addition, we computed the dividing surfaces of the second method for a coupled case of the quadratic normal form Hamiltonian system and we compared our results with those of the uncoupled case. This paper completes this series of papers about the construction of periodic orbit dividing surfaces for Hamiltonian systems with three or more degrees of freedom.
最近,我们提出了两种构造具有三个或更多自由度的哈密顿系统的周期轨道划分曲面的方法[Katsanikas & Wiggins, 2021a, 2021b]。并以一个具有三自由度的二次型正规哈密顿系统为例说明了这些方法。更准确地说,在这些论文中,我们构造了与超曲面相交的分割曲面的一部分[公式:见文本]。这是出于对反应动力学的研究,因为在这个模型中,当[公式:见正文]坐标的符号发生变化时,反应就会发生。在本文中,我们继续了本系列论文的第三篇论文[Katsanikas & Wiggins, 2023]的工作,构造了由我们的算法得到的全分曲面,并证明了不重交的性质。在第三篇论文中,我们对第一种方法的划分面进行了这样的处理[Katsanikas & Wiggins, 2021a]。现在我们对第二种方法的分割面做同样的事情[Katsanikas & Wiggins, 2021b]。此外,我们还计算了二次型正规哈密顿系统耦合情况下第二种方法的分度曲面,并与未耦合情况下的分度曲面进行了比较。本文完成了具有三个或更多自由度的哈密顿系统的周期分轨曲面的构造。
{"title":"The Generalization of the Periodic Orbit Dividing Surface for Hamiltonian Systems with Three or More Degrees of Freedom - IV","authors":"M. Katsanikas, S. Wiggins","doi":"10.1142/s0218127423300203","DOIUrl":"https://doi.org/10.1142/s0218127423300203","url":null,"abstract":"Recently, we presented two methods of constructing periodic orbit dividing surfaces for Hamiltonian systems with three or more degrees of freedom [Katsanikas & Wiggins, 2021a, 2021b]. These methods were illustrated with an application to a quadratic normal form Hamiltonian system with three degrees of freedom. More precisely, in these papers we constructed a section of the dividing surfaces that intersect with the hypersurface [Formula: see text]. This was motivated by studies in reaction dynamics since in this model reaction occurs when the sign of the [Formula: see text] coordinate changes. In this paper, we continue the work of the third paper [Katsanikas & Wiggins, 2023] of this series of papers to construct the full dividing surfaces that are obtained by our algorithms and to prove the no-recrossing property. In the third paper we did this for the dividing surfaces of the first method [Katsanikas & Wiggins, 2021a]. Now we are doing the same for the dividing surfaces of the second method [Katsanikas & Wiggins, 2021b]. In addition, we computed the dividing surfaces of the second method for a coupled case of the quadratic normal form Hamiltonian system and we compared our results with those of the uncoupled case. This paper completes this series of papers about the construction of periodic orbit dividing surfaces for Hamiltonian systems with three or more degrees of freedom.","PeriodicalId":13688,"journal":{"name":"Int. J. Bifurc. Chaos","volume":"37 1","pages":"2330020:1-2330020:10"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73912230","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bifurcation Behavior Analysis and Stability Region Discrimination for Series-Parallel Architecture Electric Energy Router 串并联结构电能路由器的分岔行为分析及稳定区域判别
Pub Date : 2023-06-30 DOI: 10.1142/s0218127423500918
Xiaojun Zhao, Zehui Zhang, Chunjiang Zhang, Xiaohuan Wang, Zhongnan Guo
Electric energy routers (EERs) can effectively deal with the energy management issues caused by the access of multi-sources and multi-loads. Different from the energy transmission form in the existing series architecture EER (SA-EER) for low-voltage distribution networks, a new series-parallel architecture EER (SPA-EER) has the advantages of high-power transmission capability and reactive power flexible operation. However, if controller parameters change beyond their critical stability boundaries, SPA-EER will produce slow- and fast-scale bifurcation behaviors, which are manifested as low- and high-frequency oscillations of port voltages or port currents in varying degrees. To avoid the system instability caused by controller parameter changes, how to discriminate the stability regions of controller parameters for SPA-EER is a key research content in this paper. To this end, the stroboscopic mapping discrete model of SPA-EER system is first established, and system bifurcation behaviors are analyzed based on bifurcation theory. Furthermore, the critical stability boundaries of controller parameters are discriminated by using Jacobian matrix, root locus and bifurcation diagram. After that, a time delay feedback control (TDFC) is employed to suppress system bifurcation behaviors. Finally, the correctness of bifurcation analysis and the effectiveness of TDFC are verified by a hardware-in-the-loop (HIL) experimental platform.
电能路由器可以有效地解决多源、多负荷接入带来的电能管理问题。不同于现有的低压配电网串联结构EER (SA-EER)的能量传输形式,新型串并联结构EER (SPA-EER)具有功率传输能力强、无功运行灵活等优点。但是,当控制器参数超出其临界稳定边界时,SPA-EER会产生慢尺度和快尺度的分岔行为,表现为不同程度的端口电压或端口电流的低频和高频振荡。为避免控制器参数变化引起的系统不稳定,如何判别控制器参数的稳定区域是本文的重点研究内容。为此,首先建立了SPA-EER系统频闪映射离散模型,并基于分岔理论分析了系统的分岔行为。利用雅可比矩阵、根轨迹和分岔图判别控制器参数的临界稳定边界。然后,采用时延反馈控制(TDFC)抑制系统的分岔行为。最后,通过硬件在环(HIL)实验平台验证了分岔分析的正确性和TDFC的有效性。
{"title":"Bifurcation Behavior Analysis and Stability Region Discrimination for Series-Parallel Architecture Electric Energy Router","authors":"Xiaojun Zhao, Zehui Zhang, Chunjiang Zhang, Xiaohuan Wang, Zhongnan Guo","doi":"10.1142/s0218127423500918","DOIUrl":"https://doi.org/10.1142/s0218127423500918","url":null,"abstract":"Electric energy routers (EERs) can effectively deal with the energy management issues caused by the access of multi-sources and multi-loads. Different from the energy transmission form in the existing series architecture EER (SA-EER) for low-voltage distribution networks, a new series-parallel architecture EER (SPA-EER) has the advantages of high-power transmission capability and reactive power flexible operation. However, if controller parameters change beyond their critical stability boundaries, SPA-EER will produce slow- and fast-scale bifurcation behaviors, which are manifested as low- and high-frequency oscillations of port voltages or port currents in varying degrees. To avoid the system instability caused by controller parameter changes, how to discriminate the stability regions of controller parameters for SPA-EER is a key research content in this paper. To this end, the stroboscopic mapping discrete model of SPA-EER system is first established, and system bifurcation behaviors are analyzed based on bifurcation theory. Furthermore, the critical stability boundaries of controller parameters are discriminated by using Jacobian matrix, root locus and bifurcation diagram. After that, a time delay feedback control (TDFC) is employed to suppress system bifurcation behaviors. Finally, the correctness of bifurcation analysis and the effectiveness of TDFC are verified by a hardware-in-the-loop (HIL) experimental platform.","PeriodicalId":13688,"journal":{"name":"Int. J. Bifurc. Chaos","volume":"47 1","pages":"2350091:1-2350091:21"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86383494","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Robust Chaotic Map and Its Application to Speech Encryption in Dual Frequency Domain 一种鲁棒混沌映射及其在双频域语音加密中的应用
Pub Date : 2023-06-30 DOI: 10.1142/s0218127423500967
Yi-bo Huang, Peng-Wei Xie, Jun-Bin Gao, Qiu-yu Zhang
When chaotic systems are used for speech encryption, their chaotic performance largely determines the security of speech encryption. However, traditional chaotic systems have problems such as parameter discontinuity, easy occurrence of chaos degradation, low complexity, and the existence of periodic windows in chaotic intervals. In real applications, chaotic mappings may fall into periodic windows, which is extremely unfavorable for security. In this paper, a new chaotic mapping 2D-LMSM is proposed by improving the chaotic logistic and sine mappings, and applied to speech encryption. Performance evaluation shows that this map can effectively generate robust chaotic signals in a wide parameter range. The 2D-LMSM achieves better robustness and desired chaotic properties than several existing two-dimensional chaotic maps. We propose a novel speech encryption algorithm using this map. First, it performs Fast Fourier Transform (FFT) on the input speech signal to obtain real and imaginary values, which are encrypted by one-time scrambling encryption and XOR diffusion encryption with pseudorandom numbers generated by chaos; then, it performs secondary scrambling encryption by Discrete Wavelet Transform (DWT) and 2D-LMSM; finally, it obtains encrypted speech data by Discrete Wavelet Inverse Transform (IDWT) and Fast Fourier Inverse Transform (IFFT). Experimental results show that this algorithm has good encryption and decryption performances and ensures system security.
将混沌系统用于语音加密时,其混沌性能在很大程度上决定了语音加密的安全性。然而,传统混沌系统存在参数不连续、易发生混沌退化、复杂度低、混沌区间存在周期窗口等问题。在实际应用中,混沌映射可能陷入周期窗口,这对安全性极为不利。本文通过改进混沌逻辑映射和正弦映射,提出了一种新的混沌映射2D-LMSM,并将其应用于语音加密。性能评估表明,该映射能在较宽的参数范围内有效地生成鲁棒混沌信号。与现有的几种二维混沌映射相比,2D-LMSM具有更好的鲁棒性和理想的混沌特性。我们提出了一种新的语音加密算法。首先对输入语音信号进行快速傅里叶变换(Fast Fourier Transform, FFT),得到实值和虚值,并利用混沌产生的伪随机数进行一次置乱加密和异或扩散加密;然后,利用离散小波变换(DWT)和2D-LMSM进行二次置乱加密;最后,通过离散小波反变换(IDWT)和快速傅立叶反变换(IFFT)得到加密语音数据。实验结果表明,该算法具有良好的加解密性能,保证了系统的安全性。
{"title":"A Robust Chaotic Map and Its Application to Speech Encryption in Dual Frequency Domain","authors":"Yi-bo Huang, Peng-Wei Xie, Jun-Bin Gao, Qiu-yu Zhang","doi":"10.1142/s0218127423500967","DOIUrl":"https://doi.org/10.1142/s0218127423500967","url":null,"abstract":"When chaotic systems are used for speech encryption, their chaotic performance largely determines the security of speech encryption. However, traditional chaotic systems have problems such as parameter discontinuity, easy occurrence of chaos degradation, low complexity, and the existence of periodic windows in chaotic intervals. In real applications, chaotic mappings may fall into periodic windows, which is extremely unfavorable for security. In this paper, a new chaotic mapping 2D-LMSM is proposed by improving the chaotic logistic and sine mappings, and applied to speech encryption. Performance evaluation shows that this map can effectively generate robust chaotic signals in a wide parameter range. The 2D-LMSM achieves better robustness and desired chaotic properties than several existing two-dimensional chaotic maps. We propose a novel speech encryption algorithm using this map. First, it performs Fast Fourier Transform (FFT) on the input speech signal to obtain real and imaginary values, which are encrypted by one-time scrambling encryption and XOR diffusion encryption with pseudorandom numbers generated by chaos; then, it performs secondary scrambling encryption by Discrete Wavelet Transform (DWT) and 2D-LMSM; finally, it obtains encrypted speech data by Discrete Wavelet Inverse Transform (IDWT) and Fast Fourier Inverse Transform (IFFT). Experimental results show that this algorithm has good encryption and decryption performances and ensures system security.","PeriodicalId":13688,"journal":{"name":"Int. J. Bifurc. Chaos","volume":"53 1","pages":"2350096:1-2350096:18"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88508142","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Chaos and Bistabilities in a Food-Chain Model with Allee Effect and Additional Food 具有Allee效应和附加食物的食物链模型的混沌和双稳定性
Pub Date : 2023-06-30 DOI: 10.1142/s0218127423500979
Nikhilesh Sil, Sudip Samanta
In this research article, a three-species food chain model with Allee effect and additional food is proposed and analyzed. The Allee effect and additional food are introduced to the top predator population. The dynamical behavior of the system is studied analytically and numerically. We have performed equilibrium analysis and local stability analysis around the non-negative equilibria. We have also explored different bifurcations in the system. We have drawn several one- and two-parameter bifurcation diagrams to explore complex dynamical behaviors. We observe that top predator goes to extinction when Allee parameter crosses a threshold value, whereas additional food enhances the stability and persistence of the system.
本文提出并分析了具有Allee效应和附加食物的三物种食物链模型。Allee效应和额外的食物被引入到顶级捕食者群体中。对系统的动力学行为进行了分析和数值研究。我们围绕非负平衡进行了平衡分析和局部稳定性分析。我们还探讨了系统中的不同分支。我们已经绘制了几个单参数和双参数分岔图来探索复杂的动力学行为。我们观察到,当Allee参数超过一个阈值时,顶级捕食者走向灭绝,而额外的食物增强了系统的稳定性和持久性。
{"title":"Chaos and Bistabilities in a Food-Chain Model with Allee Effect and Additional Food","authors":"Nikhilesh Sil, Sudip Samanta","doi":"10.1142/s0218127423500979","DOIUrl":"https://doi.org/10.1142/s0218127423500979","url":null,"abstract":"In this research article, a three-species food chain model with Allee effect and additional food is proposed and analyzed. The Allee effect and additional food are introduced to the top predator population. The dynamical behavior of the system is studied analytically and numerically. We have performed equilibrium analysis and local stability analysis around the non-negative equilibria. We have also explored different bifurcations in the system. We have drawn several one- and two-parameter bifurcation diagrams to explore complex dynamical behaviors. We observe that top predator goes to extinction when Allee parameter crosses a threshold value, whereas additional food enhances the stability and persistence of the system.","PeriodicalId":13688,"journal":{"name":"Int. J. Bifurc. Chaos","volume":"33 1","pages":"2350097:1-2350097:18"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90560414","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
期刊
Int. J. Bifurc. Chaos
全部 Acc. Chem. Res. ACS Applied Bio Materials ACS Appl. Electron. Mater. ACS Appl. Energy Mater. ACS Appl. Mater. Interfaces ACS Appl. Nano Mater. ACS Appl. Polym. Mater. ACS BIOMATER-SCI ENG ACS Catal. ACS Cent. Sci. ACS Chem. Biol. ACS Chemical Health & Safety ACS Chem. Neurosci. ACS Comb. Sci. ACS Earth Space Chem. ACS Energy Lett. ACS Infect. Dis. ACS Macro Lett. ACS Mater. Lett. ACS Med. Chem. Lett. ACS Nano ACS Omega ACS Photonics ACS Sens. ACS Sustainable Chem. Eng. ACS Synth. Biol. Anal. Chem. BIOCHEMISTRY-US Bioconjugate Chem. BIOMACROMOLECULES Chem. Res. Toxicol. Chem. Rev. Chem. Mater. CRYST GROWTH DES ENERG FUEL Environ. Sci. Technol. Environ. Sci. Technol. Lett. Eur. J. Inorg. Chem. IND ENG CHEM RES Inorg. Chem. J. Agric. Food. Chem. J. Chem. Eng. Data J. Chem. Educ. J. Chem. Inf. Model. J. Chem. Theory Comput. J. Med. Chem. J. Nat. Prod. J PROTEOME RES J. Am. Chem. Soc. LANGMUIR MACROMOLECULES Mol. Pharmaceutics Nano Lett. Org. Lett. ORG PROCESS RES DEV ORGANOMETALLICS J. Org. Chem. J. Phys. Chem. J. Phys. Chem. A J. Phys. Chem. B J. Phys. Chem. C J. Phys. Chem. Lett. Analyst Anal. Methods Biomater. Sci. Catal. Sci. Technol. Chem. Commun. Chem. Soc. Rev. CHEM EDUC RES PRACT CRYSTENGCOMM Dalton Trans. Energy Environ. Sci. ENVIRON SCI-NANO ENVIRON SCI-PROC IMP ENVIRON SCI-WAT RES Faraday Discuss. Food Funct. Green Chem. Inorg. Chem. Front. Integr. Biol. J. Anal. At. Spectrom. J. Mater. Chem. A J. Mater. Chem. B J. Mater. Chem. C Lab Chip Mater. Chem. Front. Mater. Horiz. MEDCHEMCOMM Metallomics Mol. Biosyst. Mol. Syst. Des. Eng. Nanoscale Nanoscale Horiz. Nat. Prod. Rep. New J. Chem. Org. Biomol. Chem. Org. Chem. Front. PHOTOCH PHOTOBIO SCI PCCP Polym. Chem.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1