首页 > 最新文献

Central European Journal of Physics最新文献

英文 中文
The Lorenz model for single-mode homogeneously broadened laser: analytical determination of the unpredictable zone 单模均匀加宽激光器的洛伦兹模型:不可预测区域的解析测定
Pub Date : 2014-01-31 DOI: 10.2478/s11534-014-0440-4
S. Ayadi, O. Haeberlé
We have applied harmonic expansion to derive an analytical solution for the Lorenz-Haken equations. This method is used to describe the regular and periodic self-pulsing regime of the single mode homogeneously broadened laser. These periodic solutions emerge when the ratio of the population decay rate ℘ is smaller than 0:11. We have also demonstrated the tendency of the Lorenz-Haken dissipative system to behave periodic for a characteristic pumping rate “2CP”[7], close to the second laser threshold “2C2th”(threshold of instability). When the pumping parameter “2C” increases, the laser undergoes a period doubling sequence. This cascade of period doubling leads towards chaos. We study this type of solutions and indicate the zone of the control parameters for which the system undergoes irregular pulsing solutions. We had previously applied this analytical procedure to derive the amplitude of the first, third and fifth order harmonics for the laser-field expansion [7, 17]. In this work, we extend this method in the aim of obtaining the higher harmonics. We show that this iterative method is indeed limited to the fifth order, and that above, the obtained analytical solution diverges from the numerical direct resolution of the equations.
我们应用调和展开导出了Lorenz-Haken方程的解析解。用该方法描述了单模均匀加宽激光器的规则和周期自脉冲状态。当人口衰减率p的比值小于0:11时,这些周期解出现。我们还证明了Lorenz-Haken耗散系统在特征抽运速率“2CP”[7]时具有周期性的趋势,接近第二激光阈值“2C2th”(不稳定阈值)。当泵浦参数2C增大时,激光器经历周期倍化过程。这种周期倍增的连锁反应导致了混乱。我们研究了这类解,并指出了系统经历不规则脉冲解的控制参数区域。我们以前已经应用这种分析过程来推导激光场展开的一阶、三阶和五阶谐波的振幅[7,17]。在这项工作中,我们扩展了这种方法,目的是获得高次谐波。我们证明了这种迭代方法确实局限于五阶,并且在上面,得到的解析解偏离了方程的数值直接解析。
{"title":"The Lorenz model for single-mode homogeneously broadened laser: analytical determination of the unpredictable zone","authors":"S. Ayadi, O. Haeberlé","doi":"10.2478/s11534-014-0440-4","DOIUrl":"https://doi.org/10.2478/s11534-014-0440-4","url":null,"abstract":"We have applied harmonic expansion to derive an analytical solution for the Lorenz-Haken equations. This method is used to describe the regular and periodic self-pulsing regime of the single mode homogeneously broadened laser. These periodic solutions emerge when the ratio of the population decay rate ℘ is smaller than 0:11. We have also demonstrated the tendency of the Lorenz-Haken dissipative system to behave periodic for a characteristic pumping rate “2CP”[7], close to the second laser threshold “2C2th”(threshold of instability). When the pumping parameter “2C” increases, the laser undergoes a period doubling sequence. This cascade of period doubling leads towards chaos. We study this type of solutions and indicate the zone of the control parameters for which the system undergoes irregular pulsing solutions. We had previously applied this analytical procedure to derive the amplitude of the first, third and fifth order harmonics for the laser-field expansion [7, 17]. In this work, we extend this method in the aim of obtaining the higher harmonics. We show that this iterative method is indeed limited to the fifth order, and that above, the obtained analytical solution diverges from the numerical direct resolution of the equations.","PeriodicalId":50985,"journal":{"name":"Central European Journal of Physics","volume":"1 1","pages":"203-214"},"PeriodicalIF":0.0,"publicationDate":"2014-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86572877","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: 3
The effects of vortex like distributed electron in magnetized multi-ion dusty plasmas 涡旋分布电子在磁化多离子尘埃等离子体中的影响
Pub Date : 2014-01-16 DOI: 10.2478/s11534-014-0495-2
M. M. Haider, T. Ferdous, S. S. Duha
The nonlinear propagation of small but finite amplitude dust-ion-acoustic solitary waves in a magnetized, collisionless dusty plasma is investigated theoretically. It has been assumed that the electrons are trapped following the vortex-like distribution and that the negatively and positively charged ions are mobile with the presence of charge fluctuating stationary dusts, where ions mass provide the inertia and restoring forces are provided by the thermal pressure of hot electrons. A reductive perturbation method was employed to obtain a modified Korteweg-de Vries (mK-dV) equation for the first-order potential and a stationary solution is obtained. The effect of the presence of trapped electrons, negatively and positively charged ions and arbitrary charged dust grains are discussed.
从理论上研究了小而有限振幅的尘埃声孤波在磁化无碰撞尘埃等离子体中的非线性传播。假设电子被困在旋涡状分布中,带负电荷和正电荷的离子随着电荷波动的静止尘埃的存在而移动,其中离子质量提供惯性,热电子的热压提供恢复力。采用约简摄动法得到了一阶势的修正Korteweg-de Vries (mK-dV)方程,并得到了平稳解。讨论了捕获电子、带正电荷和带负电荷的离子以及任意带电尘粒的存在的影响。
{"title":"The effects of vortex like distributed electron in magnetized multi-ion dusty plasmas","authors":"M. M. Haider, T. Ferdous, S. S. Duha","doi":"10.2478/s11534-014-0495-2","DOIUrl":"https://doi.org/10.2478/s11534-014-0495-2","url":null,"abstract":"The nonlinear propagation of small but finite amplitude dust-ion-acoustic solitary waves in a magnetized, collisionless dusty plasma is investigated theoretically. It has been assumed that the electrons are trapped following the vortex-like distribution and that the negatively and positively charged ions are mobile with the presence of charge fluctuating stationary dusts, where ions mass provide the inertia and restoring forces are provided by the thermal pressure of hot electrons. A reductive perturbation method was employed to obtain a modified Korteweg-de Vries (mK-dV) equation for the first-order potential and a stationary solution is obtained. The effect of the presence of trapped electrons, negatively and positively charged ions and arbitrary charged dust grains are discussed.","PeriodicalId":50985,"journal":{"name":"Central European Journal of Physics","volume":"319 1","pages":"701-706"},"PeriodicalIF":0.0,"publicationDate":"2014-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76749036","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: 12
Nonlinear self-adjointness and invariant solutions of a 2D Rossby wave equation 二维Rossby波动方程的非线性自伴随与不变解
Pub Date : 2014-01-10 DOI: 10.2478/s11534-014-0430-6
R. Cimpoiasu, R. Constantinescu
The paper investigates the nonlinear self-adjointness of the nonlinear inviscid barotropic nondivergent vorticity equation in a beta-plane. It is a particular form of Rossby equation which does not possess variational structure and it is studied using a recently method developed by Ibragimov. The conservation laws associated with the infinite-dimensional symmetry Lie algebra models are constructed and analyzed. Based on this Lie algebra, some classes of similarity invariant solutions with nonconstant linear and nonlinear shears are obtained. It is also shown how one of the conservation laws generates a particular wave solution of this equation.
研究了平面上非线性无粘正压非发散涡度方程的非线性自伴随性。它是不具有变分结构的罗斯比方程的一种特殊形式,用伊布拉吉莫夫最近提出的一种方法对它进行了研究。构造并分析了无限维对称李代数模型的守恒律。在此基础上,得到了一类具有非常线性和非线性剪切的相似不变解。它还显示了守恒定律之一如何产生这个方程的一个特定的波动解。
{"title":"Nonlinear self-adjointness and invariant solutions of a 2D Rossby wave equation","authors":"R. Cimpoiasu, R. Constantinescu","doi":"10.2478/s11534-014-0430-6","DOIUrl":"https://doi.org/10.2478/s11534-014-0430-6","url":null,"abstract":"The paper investigates the nonlinear self-adjointness of the nonlinear inviscid barotropic nondivergent vorticity equation in a beta-plane. It is a particular form of Rossby equation which does not possess variational structure and it is studied using a recently method developed by Ibragimov. The conservation laws associated with the infinite-dimensional symmetry Lie algebra models are constructed and analyzed. Based on this Lie algebra, some classes of similarity invariant solutions with nonconstant linear and nonlinear shears are obtained. It is also shown how one of the conservation laws generates a particular wave solution of this equation.","PeriodicalId":50985,"journal":{"name":"Central European Journal of Physics","volume":"44 1","pages":"81-89"},"PeriodicalIF":0.0,"publicationDate":"2014-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87562884","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: 16
Coherence-controlled stationary entanglement between two atoms embedded in a bad cavity injected with squeezed vacuum 在注入压缩真空的坏腔中嵌入两个原子之间的相干控制的静止纠缠
Pub Date : 2014-01-01 DOI: 10.2478/s11534-013-0326-x
Xiang-Ping Liao, Jianshu Fang, M. Fang
We investigate the entanglement between two atoms in an overdamped cavity injected with squeezed vacuum when these two atoms are initially prepared in coherent states. It is shown that the stationary entanglement exhibits a strong dependence on the initial state of the two atoms when the spontaneous emission rate of each atom is equal to the collective spontaneous emission rate, corresponding to the case where the two atoms are close together. It is found that the stationary entanglement of two atoms increases with decreasing effective atomic cooperativity parameter. The squeezed vacuum can enhance the entanglement of two atoms when the atoms are initially in coherent states. Valuably, this provides us with a feasible way to manipulate and control the entanglement, by changing the relative phases and the amplitudes of the polarized atoms and by varying the effective atomic cooperativity parameter of the system, even though the cavity is a bad one. When the spontaneous emission rate of each atom is not equal to the collective spontaneous emission rate, the steady-state entanglement of two atoms always maintains the same value, as the amplitudes of the polarized atoms varies. Moreover, the larger the degree of two-photon correlation, the stronger the steady-state entanglement between the atoms.
我们研究了两个原子在注入压缩真空的过阻尼腔中以相干态初始制备时的纠缠态。结果表明,当每个原子的自发发射率等于两个原子的集体自发发射率时,对应于两个原子靠近在一起的情况,固定纠缠表现出强烈的依赖于两个原子的初始状态。研究发现,随着有效原子协同度参数的减小,两原子的静止纠缠度增大。压缩真空可以增强两个原子在初始相干态时的纠缠态。有价值的是,这为我们提供了一种可行的方法来操纵和控制纠缠,通过改变极化原子的相对相位和振幅,以及通过改变系统的有效原子协同性参数,即使空腔是坏的。当每个原子的自发发射率不等于集体自发发射率时,由于极化原子的振幅变化,两个原子的稳态纠缠始终保持相同的值。此外,双光子相关度越大,原子间的稳态纠缠越强。
{"title":"Coherence-controlled stationary entanglement between two atoms embedded in a bad cavity injected with squeezed vacuum","authors":"Xiang-Ping Liao, Jianshu Fang, M. Fang","doi":"10.2478/s11534-013-0326-x","DOIUrl":"https://doi.org/10.2478/s11534-013-0326-x","url":null,"abstract":"We investigate the entanglement between two atoms in an overdamped cavity injected with squeezed vacuum when these two atoms are initially prepared in coherent states. It is shown that the stationary entanglement exhibits a strong dependence on the initial state of the two atoms when the spontaneous emission rate of each atom is equal to the collective spontaneous emission rate, corresponding to the case where the two atoms are close together. It is found that the stationary entanglement of two atoms increases with decreasing effective atomic cooperativity parameter. The squeezed vacuum can enhance the entanglement of two atoms when the atoms are initially in coherent states. Valuably, this provides us with a feasible way to manipulate and control the entanglement, by changing the relative phases and the amplitudes of the polarized atoms and by varying the effective atomic cooperativity parameter of the system, even though the cavity is a bad one. When the spontaneous emission rate of each atom is not equal to the collective spontaneous emission rate, the steady-state entanglement of two atoms always maintains the same value, as the amplitudes of the polarized atoms varies. Moreover, the larger the degree of two-photon correlation, the stronger the steady-state entanglement between the atoms.","PeriodicalId":50985,"journal":{"name":"Central European Journal of Physics","volume":"52 1","pages":"9-16"},"PeriodicalIF":0.0,"publicationDate":"2014-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85536224","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: 2
First-principles calculations of structural, electronic and thermal properties of Zn1−xMgxS ternary alloys Zn1−xMgxS三元合金的结构、电子和热性能第一性原理计算
Pub Date : 2014-01-01 DOI: 10.2478/s11534-013-0322-1
Samia Lamraoui, R. Bensalem, K. Hacini, H. Meradji, S. Ghemid, F. H. Hassan
Structural, electronic and thermal properties of Zn1−xMgxS ternary alloys are studied by using the full potential-linearized augmented plane wave method (FP-LAPW) within the density functional theory (DFT). The Wu-Cohen generalized gradient approximation (WC-GGA) is used in this approach for the exchangecorrelation potential. Moreover, the modified Becke-Johnson approximation (mBJ) is adopted for band structure calculations. The dependence of the lattice constant, bulk modulus and band gap on the composition x showed that the first exhibits a small deviation from the Vegard’s law, whereas, a marginal deviation of the second from linear concentration dependence (LCD). The bowing of the fundamental gap versus composition predicted by our calculations agrees well with the available theoretical data. The microscopic origins of the gap bowing are explained by using the approach of Zunger and co-workers. Thermal effects on some macroscopic properties of Zn1−xMgxS alloys are also investigated using the quasi-harmonic Debye model, in which the phononic effects are considered. As, this is the first quantitative theoretical prediction of the thermal properties of Zn1−xMgxS alloys, no other calculated results and furthermore no experimental studies are available for comparison.
采用密度泛函理论(DFT)中的全势线性化增广平面波方法(FP-LAPW)研究了Zn1−xMgxS三元合金的结构、电子和热性能。该方法采用Wu-Cohen广义梯度近似(WC-GGA)求解交换相关势。此外,采用改进的Becke-Johnson近似(mBJ)进行波段结构计算。晶格常数、体模量和带隙与x的关系表明,前者与维加德定律有很小的偏差,而后者与线性浓度依赖关系(LCD)有边际偏差。我们的计算预测的基本间隙与组成的弯曲与现有的理论数据吻合得很好。利用Zunger及其同事的方法解释了间隙弯曲的微观起源。采用考虑声子效应的准谐波Debye模型研究了热效应对Zn1−xMgxS合金宏观性能的影响。由于这是对Zn1−xMgxS合金热性能的第一次定量理论预测,没有其他的计算结果,更没有实验研究可供比较。
{"title":"First-principles calculations of structural, electronic and thermal properties of Zn1−xMgxS ternary alloys","authors":"Samia Lamraoui, R. Bensalem, K. Hacini, H. Meradji, S. Ghemid, F. H. Hassan","doi":"10.2478/s11534-013-0322-1","DOIUrl":"https://doi.org/10.2478/s11534-013-0322-1","url":null,"abstract":"Structural, electronic and thermal properties of Zn1−xMgxS ternary alloys are studied by using the full potential-linearized augmented plane wave method (FP-LAPW) within the density functional theory (DFT). The Wu-Cohen generalized gradient approximation (WC-GGA) is used in this approach for the exchangecorrelation potential. Moreover, the modified Becke-Johnson approximation (mBJ) is adopted for band structure calculations. The dependence of the lattice constant, bulk modulus and band gap on the composition x showed that the first exhibits a small deviation from the Vegard’s law, whereas, a marginal deviation of the second from linear concentration dependence (LCD). The bowing of the fundamental gap versus composition predicted by our calculations agrees well with the available theoretical data. The microscopic origins of the gap bowing are explained by using the approach of Zunger and co-workers. Thermal effects on some macroscopic properties of Zn1−xMgxS alloys are also investigated using the quasi-harmonic Debye model, in which the phononic effects are considered. As, this is the first quantitative theoretical prediction of the thermal properties of Zn1−xMgxS alloys, no other calculated results and furthermore no experimental studies are available for comparison.","PeriodicalId":50985,"journal":{"name":"Central European Journal of Physics","volume":"50 1","pages":"70-79"},"PeriodicalIF":0.0,"publicationDate":"2014-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.2478/s11534-013-0322-1","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72397533","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
Interference-induced enhancement of field entanglement in a microwave-driven V-type single-atom laser 微波驱动v型单原子激光器中干涉诱导的场纠缠增强
Pub Date : 2014-01-01 DOI: 10.2478/s11534-014-0510-7
Wen-Xing Yang, Ai-xi Chen, Tingting Zha, Yanfeng Bai, Ray-Kuang Lee
We demonstrate the generation of two-mode continuous-variable (CV) entanglement in a V-type three-level atom trapped in a doubly resonant cavity using a microwave field driving a hyperfine transition between two upper excited states. By numerically simulating the dynamics of this system, our results show that the CV entanglement with large mean number of photons can be generated even in presence of the atomic relaxation and cavity losses. More interestingly, it is found that the intensity and period of entanglement can be enhanced significantly with the increasing of the atomic relaxation due to the existence of the perfect spontaneously generated interference between two atomic decay channels. Moreover, we also show that the entanglement can be controlled efficiently by tuning the intensity of spontaneously generated interference and the detuning of the cavity field.
利用微波场驱动两个高激发态之间的超精细跃迁,证明了双谐振腔中v型三能级原子的双模连续变量(CV)纠缠的产生。通过数值模拟该系统的动力学,我们的结果表明,即使存在原子弛豫和腔损失,也可以产生具有大平均光子数的CV纠缠。更有趣的是,由于两个原子衰变通道之间存在完美的自发干涉,随着原子弛豫的增加,纠缠的强度和周期可以显著增强。此外,我们还表明,可以通过调节自发产生的干涉强度和腔场的失谐来有效地控制纠缠。
{"title":"Interference-induced enhancement of field entanglement in a microwave-driven V-type single-atom laser","authors":"Wen-Xing Yang, Ai-xi Chen, Tingting Zha, Yanfeng Bai, Ray-Kuang Lee","doi":"10.2478/s11534-014-0510-7","DOIUrl":"https://doi.org/10.2478/s11534-014-0510-7","url":null,"abstract":"We demonstrate the generation of two-mode continuous-variable (CV) entanglement in a V-type three-level atom trapped in a doubly resonant cavity using a microwave field driving a hyperfine transition between two upper excited states. By numerically simulating the dynamics of this system, our results show that the CV entanglement with large mean number of photons can be generated even in presence of the atomic relaxation and cavity losses. More interestingly, it is found that the intensity and period of entanglement can be enhanced significantly with the increasing of the atomic relaxation due to the existence of the perfect spontaneously generated interference between two atomic decay channels. Moreover, we also show that the entanglement can be controlled efficiently by tuning the intensity of spontaneously generated interference and the detuning of the cavity field.","PeriodicalId":50985,"journal":{"name":"Central European Journal of Physics","volume":"112 1","pages":"737-743"},"PeriodicalIF":0.0,"publicationDate":"2014-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75240400","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: 2
A quantum version of the classical Szilard engine 经典西拉德热机的量子版本
Pub Date : 2014-01-01 DOI: 10.2478/s11534-014-0431-5
P. Bracken
A reinvention of the classical Maxwel demon was proposed by Szilard around the time quantum mechanics was developed. His model continues to attract great interest, especially quantum versions of it. A quantum formulation of the Szilard engine is introduced and investigated here. It is made to operate through specified cycles in such a way that all thermodynamic quantities which pertain to the system can be evaluated exactly in closed form along each sequence of steps through a cycle. It is shown that as a result of the structure of the model, it is possible to calculate and compare various thermodynamic quantities as the engine proceeds around a well defined specific cycle.
西拉德在量子力学发展的时候提出了经典麦克斯韦妖的重新发明。他的模型继续吸引着人们的极大兴趣,尤其是它的量子版本。本文介绍并研究了西拉德热机的量子公式。它以这样一种方式在特定的循环中运行,即与系统有关的所有热力学量可以沿着循环的每个步骤序列以封闭形式精确地评估。结果表明,由于该模型的结构,可以计算和比较发动机在一个明确定义的特定循环中进行的各种热力学量。
{"title":"A quantum version of the classical Szilard engine","authors":"P. Bracken","doi":"10.2478/s11534-014-0431-5","DOIUrl":"https://doi.org/10.2478/s11534-014-0431-5","url":null,"abstract":"A reinvention of the classical Maxwel demon was proposed by Szilard around the time quantum mechanics was developed. His model continues to attract great interest, especially quantum versions of it. A quantum formulation of the Szilard engine is introduced and investigated here. It is made to operate through specified cycles in such a way that all thermodynamic quantities which pertain to the system can be evaluated exactly in closed form along each sequence of steps through a cycle. It is shown that as a result of the structure of the model, it is possible to calculate and compare various thermodynamic quantities as the engine proceeds around a well defined specific cycle.","PeriodicalId":50985,"journal":{"name":"Central European Journal of Physics","volume":"22 1","pages":"1-8"},"PeriodicalIF":0.0,"publicationDate":"2014-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87516137","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: 6
Complex lag synchronization of two identical chaotic complex nonlinear systems 两个相同混沌复杂非线性系统的复杂滞后同步
Pub Date : 2014-01-01 DOI: 10.2478/s11534-013-0324-z
E. Mahmoud, Kholod M. Abualnaja
Much progress has been made in the research of synchronization for chaotic real or complex nonlinear systems. In this paper we introduce a new type of synchronization which can be studied only for chaotic complex nonlinear systems. This type of synchronization may be called complex lag synchronization (CLS). A definition of CLS is introduced and investigated for two identical chaotic complex nonlinear systems. Based on Lyapunov function a scheme is designed to achieve CLS of chaotic attractors of these systems. The effectiveness of the obtained results is illustrated by a simulation example. Numerical results are plotted to show state variables, modulus errors and phase errors of these chaotic attractors after synchronization to prove that CLS is achieved.
对于混沌或复杂非线性系统的同步问题的研究取得了很大进展。本文介绍了一种新的同步方法,这种方法只适用于混沌复杂非线性系统。这种类型的同步可以称为复杂滞后同步(CLS)。引入了CLS的定义,并对两个相同的混沌复杂非线性系统进行了研究。基于李雅普诺夫函数,设计了一种混沌吸引子的CLS实现方案。通过仿真算例验证了所得结果的有效性。数值结果显示了这些混沌吸引子同步后的状态变量、模量误差和相位误差,证明了CLS的实现。
{"title":"Complex lag synchronization of two identical chaotic complex nonlinear systems","authors":"E. Mahmoud, Kholod M. Abualnaja","doi":"10.2478/s11534-013-0324-z","DOIUrl":"https://doi.org/10.2478/s11534-013-0324-z","url":null,"abstract":"Much progress has been made in the research of synchronization for chaotic real or complex nonlinear systems. In this paper we introduce a new type of synchronization which can be studied only for chaotic complex nonlinear systems. This type of synchronization may be called complex lag synchronization (CLS). A definition of CLS is introduced and investigated for two identical chaotic complex nonlinear systems. Based on Lyapunov function a scheme is designed to achieve CLS of chaotic attractors of these systems. The effectiveness of the obtained results is illustrated by a simulation example. Numerical results are plotted to show state variables, modulus errors and phase errors of these chaotic attractors after synchronization to prove that CLS is achieved.","PeriodicalId":50985,"journal":{"name":"Central European Journal of Physics","volume":"63 1","pages":"63-69"},"PeriodicalIF":0.0,"publicationDate":"2014-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88849326","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: 18
Superdeformed structures and low Ω parity doublet in Ne-S nuclei near neutron drip-line 中子滴线附近Ne-S核的超变形结构和低Ω宇称重态
Pub Date : 2014-01-01 DOI: 10.2478/s11534-014-0426-2
S. Singh, C. Praharaj, S. Patra
AbstractThe structures of Ne, Na, Mg, Al, Si, P and S nuclei near the neutron drip-line region are investigated in the frame-work of relativistic mean field theory and non-relativistic Skyrme Hartree-Fock formalism. The recently discovered nuclei 40Mg and 42Al, which are beyond the drip-line predicted by various mass formulae are located within these models. We find many largely deformed neutron-rich nuclei, whose structures are analyzed. From the structure anatomy, we find that at large deformation low orbits of opposite parities (e.g. $$frac{1} {2}^ +$$ and $$frac{1} {2}^ -$$) occur close to each other in energy.
摘要在相对论平均场理论和非相对论Skyrme Hartree-Fock形式理论的框架下,研究了中子滴线附近Ne、Na、Mg、Al、Si、P和S核的结构。最近发现的40Mg和42Al核位于这些模型中,它们超出了各种质量公式预测的滴线。我们发现了许多大量变形的富中子核,并对其结构进行了分析。从结构解剖来看,我们发现在大变形时,相反的低轨道(例如$$frac{1}{2}^ +$$和$$frac{1}{2}^ -$$)在能量上彼此接近。
{"title":"Superdeformed structures and low Ω parity doublet in Ne-S nuclei near neutron drip-line","authors":"S. Singh, C. Praharaj, S. Patra","doi":"10.2478/s11534-014-0426-2","DOIUrl":"https://doi.org/10.2478/s11534-014-0426-2","url":null,"abstract":"AbstractThe structures of Ne, Na, Mg, Al, Si, P and S nuclei near the neutron drip-line region are investigated in the frame-work of relativistic mean field theory and non-relativistic Skyrme Hartree-Fock formalism. The recently discovered nuclei 40Mg and 42Al, which are beyond the drip-line predicted by various mass formulae are located within these models. We find many largely deformed neutron-rich nuclei, whose structures are analyzed. From the structure anatomy, we find that at large deformation low orbits of opposite parities (e.g. $$frac{1} {2}^ +$$ and $$frac{1} {2}^ -$$) occur close to each other in energy.","PeriodicalId":50985,"journal":{"name":"Central European Journal of Physics","volume":"54 1","pages":"42-56"},"PeriodicalIF":0.0,"publicationDate":"2014-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81922612","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: 2
Spectroscopic properties of the Pr3+ ion in TeO2-WO3-PbO-La2O3 and TeO2-WO3-PbO-Lu2O3 glasses TeO2-WO3-PbO-La2O3和TeO2-WO3-PbO-Lu2O3玻璃中Pr3+离子的光谱特性
Pub Date : 2014-01-01 DOI: 10.2478/s11534-013-0328-8
B. Burtan, M. Sitarz, R. Lisiecki, W. Ryba-Romanowski, P. Jeleń, J. Cisowski, M. Reben
The goal of this work was to investigate the spectroscopic properties of Pr3+ ions, embedded in two different tellurite glass matrices, TeO2-WO3-PbO-La2O3 and TeO2-WO3-PbO-Lu2O3. The absorption and fluorescence spectra have been recorded and analyzed in terms of the Judd-Ofelt theory along with the luminescence decay of the 3P0 and 1D2 levels of the Pr3+ ion. The spectroscopic studies were completed with ellipsometric measurements providing the dispersion relation of the refractive index of the investigated glasses.
这项工作的目的是研究Pr3+离子,嵌入在两种不同的碲酸盐玻璃基质TeO2-WO3-PbO-La2O3和TeO2-WO3-PbO-Lu2O3中的光谱特性。根据Judd-Ofelt理论记录和分析了Pr3+离子3P0和1D2能级的发光衰减,并对其吸收光谱和荧光光谱进行了分析。光谱研究是通过椭偏测量完成的,提供了所研究玻璃的折射率的色散关系。
{"title":"Spectroscopic properties of the Pr3+ ion in TeO2-WO3-PbO-La2O3 and TeO2-WO3-PbO-Lu2O3 glasses","authors":"B. Burtan, M. Sitarz, R. Lisiecki, W. Ryba-Romanowski, P. Jeleń, J. Cisowski, M. Reben","doi":"10.2478/s11534-013-0328-8","DOIUrl":"https://doi.org/10.2478/s11534-013-0328-8","url":null,"abstract":"The goal of this work was to investigate the spectroscopic properties of Pr3+ ions, embedded in two different tellurite glass matrices, TeO2-WO3-PbO-La2O3 and TeO2-WO3-PbO-Lu2O3. The absorption and fluorescence spectra have been recorded and analyzed in terms of the Judd-Ofelt theory along with the luminescence decay of the 3P0 and 1D2 levels of the Pr3+ ion. The spectroscopic studies were completed with ellipsometric measurements providing the dispersion relation of the refractive index of the investigated glasses.","PeriodicalId":50985,"journal":{"name":"Central European Journal of Physics","volume":"5 1","pages":"57-62"},"PeriodicalIF":0.0,"publicationDate":"2014-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76185410","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: 7
期刊
Central European Journal of Physics
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