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Augmented dynamics of nonlinear systems: A review 非线性系统的增广动力学:综述
4区 物理与天体物理 Q2 Physics and Astronomy
EPL
Pub Date : 2023-11-10 DOI: 10.1209/0295-5075/ad0bc7
Nirmal Punetha, Anjuman Ara Khatun, Haider Hasan Jafri, Awadhesh Prasad, Manish Dev Shrimali
Abstract We discuss a simple yet powerful control technique called ‘Linear Augmentation’ (LA) for nonlinear dynamical systems. The linear augmentation can be perceived as a type of interaction that may occur naturally in dynamical systems as an environmental effect, or can be explicitly added to a system in order to control its collective dynamical behavior. LA has been known to effectively regulate resulting dynamics of various dynamical systems and can be used as a powerful control strategy in various applications. Examples include targeting attractor(s), regulating multistable dynamics, suppression of extreme events, and controlling chimera states in the nonlinear dynamical systems. In this review, we discuss augmented dynamics of nonlinear dynamical systems in this perspective with some of its interesting applications.
我们讨论了一种简单而强大的非线性动力系统控制技术,称为“线性增强”(LA)。线性增强可以被理解为一种相互作用,它可能作为一种环境效应在动力系统中自然发生,或者可以明确地添加到系统中以控制其集体动力行为。已知LA可以有效地调节各种动力系统的结果动力学,并且可以在各种应用中作为一种强大的控制策略。例子包括瞄准吸引子、调节多稳态动力学、抑制极端事件和控制非线性动力系统中的嵌合体状态。在这篇综述中,我们从这个角度讨论非线性动力系统的增广动力学及其一些有趣的应用。
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引用次数: 0
N-channel parity-time symmetry n通道奇偶时间对称
4区 物理与天体物理 Q2 Physics and Astronomy
EPL
Pub Date : 2023-11-09 DOI: 10.1209/0295-5075/ad0b55
Ege Özgün
Abstract We calculated the eigenvalues for a general N-channel coupled system with parity-time symmetry due to equal loss/gain. We found that the eigenspectrum displays a mixing of parity-time symmetric and broken phases, with N −2 of the eigenvalues being parity-time broken whereas the remaining two being either parity-time symmetric or broken depending on the loss/gain and coupling parameters. Our results also show that mixing of parity-time symmetric and parity-time broken phases can only be obtained for at least four-channels if other degrees of freedom such as polarization or spin are not taken into account.
摘要本文计算了一类具有奇偶时间对称性的n通道耦合系统的本征值。我们发现本征谱显示了奇偶时间对称和破缺相位的混合,其中N−2的本征值是奇偶时间破缺的,而剩下的两个本征值是奇偶时间对称的或破缺的,这取决于损耗/增益和耦合参数。我们的结果还表明,如果不考虑极化或自旋等其他自由度,则至少在四个通道中才能获得奇偶时间对称相和奇偶时间破缺相的混合。
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引用次数: 0
Application of two-dimensional chaotic system and implementation of DSP 二维混沌系统的应用及DSP的实现
4区 物理与天体物理 Q2 Physics and Astronomy
EPL
Pub Date : 2023-11-08 DOI: 10.1209/0295-5075/ad0aef
Ying-Ying Wang, Hai-Jun Luo
Abstract Given that the limited complexity of most current 2D maps undermines chaos-based practical applications, this paper proposes a 2D Logical Cosine Coupled Map (2D-LSCCM) and compares the bifurcation maps, Lyapunov exponent spectrum, and spectral entropy complexity of the classical 2D chaos model. Based on this model, this paper proposes an image encryption scheme using ascending alignment permutation and XOR pixel diffusion algorithm. After a series of tests, such as chi-square test, anti-attack test, key sensitivity test, and correlation test, the simulation findings show that the chaotic system proposed in this paper has excellent security performance compared with other systems. Moreover, a hardware platform based on DSP (Digital Signal Processing) and NIST test have been developed to analyze and test chaotic sequences.
摘要:鉴于目前大多数二维映射的有限复杂性影响了基于混沌的实际应用,本文提出了一种二维逻辑余弦耦合映射(2D- lsccm),并比较了经典二维混沌模型的分岔映射、Lyapunov指数谱和谱熵复杂度。在此模型的基础上,提出了一种采用升序排列和异或像素扩散算法的图像加密方案。经过卡方检验、抗攻击测试、密钥灵敏度测试、相关性测试等一系列测试,仿真结果表明本文提出的混沌系统与其他系统相比具有优异的安全性能。此外,还开发了一个基于DSP(数字信号处理)和NIST测试的硬件平台来分析和测试混沌序列。
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引用次数: 0
A research of a strategy to balance the importance and dispersion of multiple critical nodes 多关键节点重要性与离散度平衡策略研究
4区 物理与天体物理 Q2 Physics and Astronomy
EPL
Pub Date : 2023-11-08 DOI: 10.1209/0295-5075/ad0ac3
Dong-Xu Cui, Jia-Lin He, Feng Lin, Jie Ru, Wei-Ping Ren
Abstract Maximizing the range of disease or information spread is a hot research topic in complex networks. In particular, the dispersion among a group of nodes and the spreading ability of a single node are two vital factors in the propagation process. However, although some traditional algorithms have considered both factors, they have failed to address the balance between them, which resulted in critical nodes identified that are not conducive to maximizing the propagation range. So, this paper proposes metrics to quantify the dispersion of a group of nodes, the local spreading ability of a single node, and then designs an objective function fusing these two metrics to identify critical nodes, which automatically searches for a balance between these two vital factors during the optimization process. We evaluate the proposed algorithm against seven baseline algorithms on three synthetic networks and nine real networks based. Experimental results show that our algorithm is better than some of the centrality-based and heuristic algorithms.
疾病或信息传播范围的最大化是复杂网络中的一个研究热点。其中,一组节点间的离散度和单个节点的传播能力是影响传播过程的两个重要因素。然而,一些传统算法虽然考虑了这两个因素,但未能解决两者之间的平衡,导致识别出不利于传播范围最大化的关键节点。为此,本文提出了量化一组节点的分散度和单个节点的局部扩散能力的指标,并设计了一个融合这两个指标的目标函数来识别关键节点,该目标函数在优化过程中自动寻找这两个关键因素之间的平衡点。我们在3个合成网络和9个真实网络上对所提出的算法进行了7个基线算法的评估。实验结果表明,该算法优于一些基于中心性和启发式的算法。
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引用次数: 0
Nonlocal symmetries, nonlocally related systems, similarity solutions and conservation laws of Tzitzeica-Dodd-Bullogh equation Tzitzeica-Dodd-Bullogh方程的非局部对称性、非局部相关系统、相似解和守恒律
4区 物理与天体物理 Q2 Physics and Astronomy
EPL
Pub Date : 2023-11-07 DOI: 10.1209/0295-5075/ad0a3f
. Vinita, Santanu Saha Ray
Abstract In this paper, a methodical procedure is proposed for the identification of nonlocal symmetries
of the (1+1)-dimensional Tzitzeica-Dodd-Bullogh equation. Firstly, by introducing a set
of canonical coordinates corresponding to the local Lie point symmetries, the considered partial
differential equation (PDE) is mapped to an invertibly equivalent PDE system. Furthermore,
nonlocal symmetries are obtained from the inverse potential system of the invertibly equivalent
PDE system. The exact solutions for the aforementioned PDE are acquired with the help of the
extended generalized Kudryashov method corresponding to the admitted point symmetries. In
addition, using a symmetry-based technique and local conservation principles, a complete tree of
nonlocally associated PDE systems has been constructed. Additionally, the derivation of local
conservation laws for the Tzitzeica-Dodd-Bullogh equation is obtained through the multiplier
method.
摘要本文提出了一种识别(1+1)维Tzitzeica-Dodd-Bullogh方程非局部对称性的方法 首先,通过引入一组与局部李点对称对应的正则坐标,将所考虑的偏微分方程(PDE)映射到一个可逆等价的PDE系统。进一步,从可逆等效PDE系统的逆势系统得到了非局部对称性。利用与容许点对称性相对应的扩展广义Kudryashov方法获得了上述PDE的精确解。此外,利用基于对称的技术和局部守恒原理,构造了非局部关联PDE系统的完整树。此外,通过乘数法推导了Tzitzeica-Dodd-Bullogh方程的局部守恒定律。
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of the (1+1)-dimensional Tzitzeica-Dodd-Bullogh equation. Firstly, by introducing a set
of canonical coordinates corresponding to the local Lie point symmetries, the considered partial
differential equation (PDE) is mapped to an invertibly equivalent PDE system. Furthermore,
nonlocal symmetries are obtained from the inverse potential system of the invertibly equivalent
PDE system. The exact solutions for the aforementioned PDE are acquired with the help of the
extended generalized Kudryashov method corresponding to the admitted point symmetries. In
addition, using a symmetry-based technique and local conservation principles, a complete tree of
nonlocally associated PDE systems has been constructed. Additionally, the derivation of local
conservation laws for the Tzitzeica-Dodd-Bullogh equation is obtained through the multiplier
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引用次数: 0
Justice strategy can promote cooperation with the joint of dynamic aspiration in social dilemma 在社会困境中,正义策略可以促进动态愿望的联合合作
4区 物理与天体物理 Q2 Physics and Astronomy
EPL
Pub Date : 2023-11-03 DOI: 10.1209/0295-5075/ad0998
Baifeng Li, Xiao Zhang, Zhenyu Shi, Wei Wei
Abstract We investigate the concurrent effect of the justice strategy and dynamic aspirations on cooperation in evolutionary game theory. The justice strategy refers to a game in which players play the role of cooperators in the case of cooperation, the role of punishers in the face of defection, and receive the same payoff as their opponents. Players compare the payoffs with their own dynamic aspirations to decide whether to change their strategy. Through simulations, we demonstrate the effectiveness of our model in promoting cooperation and reducing or completely eliminating defections. A higher initial aspiration has a significant impact on reducing defection. Additionally, we find that diverse evolutionary dynamics arise from various initial settings. Remarkably, in specific situations, even a tiny initial fraction of justicers can rapidly retaliate and eventually dominate the entire system. Reflecting real-life scenarios, the influence of punishment typically lags behind the occurrence of defection, allowing justicers to gradually counteract defection upon its cluster emergence.
摘要本文研究了进化博弈论中正义策略和动态愿望对合作的并行效应。正义策略是指在博弈中,参与者在合作的情况下扮演合作者的角色,面对背叛时扮演惩罚者的角色,并获得与对手相同的收益。玩家将收益与自己的动态愿望进行比较,以决定是否改变策略。通过仿真,我们证明了该模型在促进合作和减少或完全消除缺陷方面的有效性。较高的初始吸入量对减少脱粪有显著的影响。此外,我们发现不同的进化动力产生于不同的初始设置。值得注意的是,在特定情况下,即使是一小部分最初的法官也可以迅速报复并最终主宰整个系统。反映现实场景,惩罚的影响通常滞后于叛逃的发生,使得法官在叛逃集群出现时逐渐抵消叛逃。
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引用次数: 0
Multi-polarized Fabry-Pérot resonator cavity using multilayer partially reflective metasurface in X-Band x波段多层部分反射超表面的多极化法布里-帕氏谐振腔
4区 物理与天体物理 Q2 Physics and Astronomy
EPL
Pub Date : 2023-11-02 DOI: 10.1209/0295-5075/ad0953
Pei Yang, Bo Dang, Lipin Li, Zhiping Ren, Ruirong Dang, Huiqin Jia
Abstract In this paper, we propose a multi-polarized Fabry-Pérot resonator cavity (MPFPRC) by integrating multilayer partially reflective metasurface (MPRM), the feed of multi-polarized slot coupling patch antenna and the reflective ground in X-Band. The MPRM consists of first-layer square metal patches, second-layer metal ground with square slots, third-layer square metal patches and fourth-layer partially reflective patches. Based on the MPRM, the proposed MPFPRC is capable of transforming 0°, 45° and -45° linearly polarized (LP) waves emitted by the feed into LP beam, left-handed circularly polarized (LHCP) beam and right-handed circularly polarized (RHCP) beam, respectively. Finally, the designed MPFPRC is simulated, processed and measured. The experimental results verify that the -3dB gain bandwidth of LP is 9.1-10.2 GHz, the -3dB gain bandwidth and 3dB axial ratio bandwidth of the LHCP are 9.0-10.0 GHz and 9.2-10.0 GHz, and the -3dB gain bandwidth and 3dB axial ratio bandwidth of the RHCP are 9.0-10.0 GHz and 9.3-10.0 GHz.
本文提出了一种将多层部分反射超表面(MPRM)、多极化槽耦合贴片天线馈源和x波段反射地集成在一起的多极化法布里-帕氏谐振腔(MPFPRC)。MPRM由第一层方形金属贴片、第二层带方槽的金属接地、第三层方形金属贴片和第四层部分反射贴片组成。基于MPRM,所提出的MPFPRC能够将馈源发射的0°、45°和-45°线极化(LP)波分别转化为LP波束、左手圆极化(LHCP)波束和右手圆极化(RHCP)波束。最后,对所设计的MPFPRC进行了仿真、加工和测量。实验结果证实,LP的-3dB增益带宽为9.1 ~ 10.2 GHz, LHCP的-3dB增益带宽和3dB轴比带宽分别为9.0 ~ 10.0 GHz和9.2 ~ 10.0 GHz, RHCP的-3dB增益带宽和3dB轴比带宽分别为9.0 ~ 10.0 GHz和9.3 ~ 10.0 GHz。
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引用次数: 0
Probing mean values and correlations of high-spin systems on a quantum computer 在量子计算机上探测高自旋系统的平均值和相关性
4区 物理与天体物理 Q2 Physics and Astronomy
EPL
Pub Date : 2023-11-02 DOI: 10.1209/0295-5075/ad0952
Andrij Kuzmak, V. M. Tkachuk
Abstract We consider simulation of the high spins on a quantum computer. The protocols which allow one to measure the mean value of spin and correlations between spins are proposed. As a result, we determine the time-dependence of the mean values of spin-1 in the magnetic field prepared on the ibmq-santiago quantum computer. In addition, we study the evolution of two interacting spins on the ibmq-santiago quantum computer. The time-dependencies of mean value of spin-1 and correlations between these spins are detected. Finally, we generalize these protocols for the spins of an arbitrary values.
我们考虑在量子计算机上模拟高自旋。提出了测量自旋平均值和自旋间相关性的方法。因此,我们确定了在ibmq-santiago量子计算机上制备的磁场中自旋-1平均值的时间依赖性。此外,我们在ibmq-santiago量子计算机上研究了两个相互作用自旋的演化。检测了自旋-1平均值的时间依赖性和这些自旋之间的相关性。最后,我们将这些协议推广到任意值的自旋。
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引用次数: 0
A non-linear delayed resonator for mimicking the hearing haircells 模拟听觉毛细胞的非线性延迟谐振器
4区 物理与天体物理 Q2 Physics and Astronomy
EPL
Pub Date : 2023-10-31 DOI: 10.1209/0295-5075/ad087b
Jana Reda, Mathias Fink, Fabrice Lemoult
Abstract The auditory system possesses remarkable characteristics: super sensitivity and frequency selectivity. However, these traits come at the cost of non-fidelity due to non-linear effects.The culprit behind this active behavior is likely the haircells, as suggested by some in vivo observations and theoretical studies. These haircells appear to operate as non-linear oscillators near a Hopf bifurcation. In this article, we experimentally design a single delayed Hopf resonator to examine its dynamic responses and uncover striking parallels with the human ear. After a systematic characterization of this resonator, we experimentally verify on this single resonator two non-linear phenomena that mimic hearing distortions. This provides further support for hearing models based on Hopf bifurcation.
摘要听觉系统具有超灵敏度和频率选择性等显著特征。然而,这些特征是以非线性效应导致的不保真度为代价的。一些体内观察和理论研究表明,这种活跃行为背后的罪魁祸首可能是毛细胞。这些毛细胞在Hopf分岔附近表现为非线性振荡器。在本文中,我们实验设计了一个单一的延迟Hopf谐振器来检查其动态响应,并发现与人耳惊人的相似之处。在对该谐振器进行系统表征后,我们在该谐振器上实验验证了两种模拟听力失真的非线性现象。这为基于Hopf分岔的听力模型提供了进一步的支持。
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引用次数: 0
Reconstructing networks via discrete state dynamical data: A mini-review 通过离散状态动态数据重构网络:一个小回顾
4区 物理与天体物理 Q2 Physics and Astronomy
EPL
Pub Date : 2023-10-27 DOI: 10.1209/0295-5075/ad07b2
Ma Chuang, Huan Wang, Hai-Feng Zhang
Abstract The inference of network structure from dynamic data is one of the most challenging scientific problems in network science. To address this issue, researchers have proposed various approaches regarding different types of dynamical data. Since many real evolution processes or social phenomena can be described by discrete state dynamical systems, such as the spreading of epidemic, the evolution of opinions, and the cooperation behaviors. Therefore, network reconstruction methods driven by discrete state dynamical data were also widely studied. In this Letter, we provide a mini-review of recent progresses for reconstructing networks based on discrete state dynamical data. These studies encompass network reconstruction problems where the dynamical processes are known, as well as those where the dynamics are unknown, and extend to the reconstruction of higher-order networks. Finally, we discuss the remaining challenges in this field.
从动态数据中推断网络结构是网络科学中最具挑战性的科学问题之一。为了解决这个问题,研究人员针对不同类型的动态数据提出了各种方法。由于许多真实的进化过程或社会现象都可以用离散状态动力系统来描述,如流行病的传播、意见的演变、合作行为等。因此,基于离散状态动态数据驱动的网络重构方法也得到了广泛的研究。在本文中,我们对基于离散状态动态数据重构网络的最新进展进行了简要回顾。这些研究包括动态过程已知的网络重建问题,以及动态过程未知的网络重建问题,并扩展到高阶网络的重建。最后,我们讨论了该领域仍存在的挑战。
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引用次数: 0
期刊
EPL
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