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Bifurcation and chaos in digital filters: identification of periodic solutions

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Science China(Information Sciences) 2019年第6期62卷 165-167页

作者： zunshui cheng Xinghuo YU Jinde CAO School of Mathematics and Physics Qingdao University of Science and Technology School of Engineering Royal Melbourne Institute of Technology Jiangsu Provincial Key Laboratory of Networked Collective Intelligence School of MathematicsSoutheast University

Dear editor,It is well known that second-order digital filters with two’s complement algorithm may exhibit complex dynamics, including periodic solutions and chaos. In various eminent papers [1–3],the periodic and c... 详细信息

关键词： Bifurcation and chaos in digital filters identification of periodic solutions

Selecting pinning nodes to control complex networked systems

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Science China(Technological Sciences) 2018年第10期61卷 1537-1545页

作者： cheng zunshui XIN YouMing CAO JinDe YU XingHuo LU GuoPing School of Mathematics and Physics Qingdao University of Science and Technology Jiangsu Provincial Key Laboratory of Networked Collective Intelligence and School of Mathematics Southeast University School of Engineering RMIT University School of Electrical Engineering Nantong University

One of the fundamental problems in pinning control of complex networks is selecting appropriate pinning nodes, such that the whole system is controlled. This is particularly useful for complex networks with huge numbers of nodes. Recent research has yielded several pinning node selection strategies, which may be efficient. However, selecting a set of pinning nodes and identifying the nodes that should be selected first remain challenging problems. In this paper, we present a network control strategy based on left Perron vector. For directed networks where nodes have the same in-and out-degrees, there has so far been no effective pinning node selection strategy, but our method can find suitable nodes. Likewise, our method also performs well for undirected networks where the nodes have the same degree. In addition, we can derive the minimum set of pinning nodes and the order in which they should be selected for given coupling strengths. Our proofs of these results depend on the properties of non-negative matrices and M-matrices. Several examples show that this strategy can effectively select appropriate pinning nodes, and that it can achieve better results for both directed and undirected networks.

关键词： complex network pinning control Perron root left Perron vector M-matrices

Stability and bifurcation control of a neuron system under a novel fractional-order PD controller

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Science China(Technological Sciences) 2019年第12期62卷 2120-2129页

作者： SHI Shuo XIAO Min RONG LiNa ZHENG WeiXing TAO BinBin cheng zunshui XU FengYu School of Automation Nanjing University of Posts and TelecommunicationsNanjing 210003China School of Mathematics and Physics Qingdao University of Science and TechnologyQingdao 266061China School of Computing Engineering and MathematicsWestern Sydney UniversitPenrith NSW 2751Australia

In this paper, we address the problem of bifurcation control for a delayed neuron system. By introducing a new fractional-order Proportional-Derivative(PD) feedback controller, this paper aims to control the stability and Hopf bifurcation through adjusting the control gain parameters. The order chosen in PD controller is different with that of the integer-order neuron system. Sufficient conditions for guaranteeing the stability and generating Hopf bifurcation are constructed for the controlled neuron system. Finally,numerical simulation results are illustrated to verify our theoretical derivations and the relationships between the onset of the Hopf bifurcation and the gain parameters are obtained.

关键词： Hopf bifurcation fractional-order PD controller neuron system time delay

A New Five-Dimension Chaotic Lorenz System 36

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A New Five-Dimension Chaotic Lorenz System

Stability and bifurcation analysis of a fractional-order single-gene regulatory model with delays under a novel PD^α control law

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作者： zunshui cheng Congcong Zhou Yun Shang School of Mathematics and Physics Qingdao University of Science and Technology Research Center for Complex Systems and Network Sciences and Department of MathematicsSoutheast University

ISBN: (纸本)9781538629185

This paper develop a new five-dimension chaotic Lorenz system, and it is obtained by adding two nonlinear control and improve the typical three-dimension Lorenz system. This five-dimension system is discussed by Lyapunov exponents, phase diagram and the exponential time domain waveform. The numerical simulations can be show the chaotic, periodic, convergent behavior as the parameter change.

关键词： Chaos Lyapunov exponents attractor periodic

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International Journal of Biomathematics 2020年第3期13卷 37-54页

作者： Qiu Lu Min Xiao zunshui cheng Yurong Song chengdai Huang Jinde Cao College of Automation Nanjing University of Posts and Telecommunications Nanjing 210003 China School of Mathematics and Physics Qingdao University of Science and Technology Qingdao 266061 China School of Mathematics and Statistics Xinyang Normal University Xinyang 464000China School of Mathematics Southeast University Nanjing 210096China

In this paper,we propose a novel fractional-order proportional-derivative(PD)strategy to achieve the control of bifurcation of a fractional-order gene regulatory model with *** stability theory of fractional differential equations proved that with delays,some explicit conditions for the local asymptotical stability and Hopf bifurcation are given for the controlled fractional-order genetic *** is demonstrated that the fractional-order gene regulatory model becomes controllable by adjusting the control gain *** addition,the effect of fractional-order parameter on the dynamical behaviors is ***,numerical simulations are carried out to testify the validity of the main results and the availability of the fractional-order PD controller.

关键词： Hopf bifurcation fractional-order single-genetic regulatory network fractional-order PD controller time delay

基于反馈控制的分数阶复值神经网络的Hopf分岔

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南通大学学报（自然科学版） 2023年第3期22卷 56-71,94页

作者：宋倩倩程尊水青岛科技大学数理学院山东青岛266061

研究了具有时滞的分数阶复值神经网络的分岔控制问题。通过对原系统设计反馈控制器,调节反馈增益参数来改善系统的动态性能,并产生Hopf分岔;给出了系统产生Hopf分岔的充分条件和临界参数值;最后通过数值仿真验证了理论结果的正确性。

关键词：分数阶复值神经网络稳定性 Hopf分岔反馈控制

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复杂网络牵制控制概述

南京信息工程大学学报（自然科学版） 2020年第1期12卷 22-30,I0005-I0007页

作者：曹进德宋强刘芳程尊水东南大学数学学院南京210096 南通大学电气工程学院南通226019 黄淮学院信息工程学院驻马店463000 河南省智能机器人行为优化控制国际联合实验室驻马店463000 青岛科技大学数理学院青岛266061

本文回顾了十多年来复杂网络牵制控制的研究进展,对复杂网络现有的牵制控制算法进行了归纳分类,然后基于网络拓扑及节点动力学特性讨论了网络牵制控制的一些必要或充分条件.针对牵制控制下的复杂网络,重点论述了牵制节点的选取策略,综... 详细信息

本文回顾了十多年来复杂网络牵制控制的研究进展,对复杂网络现有的牵制控制算法进行了归纳分类,然后基于网络拓扑及节点动力学特性讨论了网络牵制控制的一些必要或充分条件.针对牵制控制下的复杂网络,重点论述了牵制节点的选取策略,综合分析了牵制节点个数、耦合强度、牵制控制增益及节点动力学等因素对复杂网络牵制控制的影响,讨论了具有合作竞争关系符号网络牵制控制的进展,并简要介绍了复杂网络牵制控制的一些应用前景.最后,就复杂网络牵制控制将来的研究方向提了一些建议及展望.

关键词：复杂网络牵制控制牵制节点牵制控制增益耦合强度

非对称双环神经网络系统的稳定性和Hopf分岔

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南京信息工程大学学报（自然科学版） 2019年第4期11卷 446-452页

作者：周帅肖敏邢蕊桃张跃中程尊水南京邮电大学自动化学院人工智能学院南京210003 青岛科技大学数理学院青岛266061

环型结构在神经网络中普遍存在,目前对环型神经动力学分岔研究大多数局限于单环情形.值得注意的是,神经网络由成千上万个神经元耦合而成,这些复杂的神经元网络结构不可能只由一个环形结构来准确表述,因此研究具多环拓扑的神经网络模型... 详细信息

环型结构在神经网络中普遍存在,目前对环型神经动力学分岔研究大多数局限于单环情形.值得注意的是,神经网络由成千上万个神经元耦合而成,这些复杂的神经元网络结构不可能只由一个环形结构来准确表述,因此研究具多环拓扑的神经网络模型更具实际意义.本文提出了一种非对称双环神经元网络模型,选择单环的时滞和为分岔参数,分析了双环模型的稳定性和Hopf分岔.最后给出数值仿真对结论进行了验证.

关键词：神经元网络 Hopf分岔离散时滞环型网络