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A novel four-wing chaotic attractor generated from a three-dimensional quadratic autonomous system

Chinese Physics B 2009年第7期18卷 2680-2689页

作者：董恩增陈在平陈增强袁祉 Department of Automation Tianjin University of Technology Department of Automation Nankai University

This paper presents a new 3D quadratic autonomous chaotic system which contains five system parameters and three quadratic cross-product terms,and the system can generate a single four-wing chaotic attractor with wide parameter ranges. Through theoretical analysis,the Hopf bifurcation processes are proved to arise at certain equilibrium *** bifurcation analysis shows that the system has many interesting complex dynamical behaviours;the system trajectory can evolve to a chaotic attractor from a periodic orbit or a fixed point as the proper parameter varies. Finally,an analog electronic circuit is designed to physically realize the chaotic system;the existence of four-wing chaotic attractor is verified by the analog circuit realization.

关键词： chaos four-wing chaotic attractor bifurcation analysis chaotic circuit

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Si’lnikov Chaos of a 3-D Quadratic Autonomous System With a four-wing chaotic attractor

Si’lnikov Chaos of a 3-D Quadratic Autonomous System With a...

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第三十届中国控制会议

作者： WANG Xia,LI Jianping,FANG Jianyin Department of Mathematical and Physical Science,Henan Institute of Engineering,Zhengzhou 451191,P.R.China

＜正＞The stability and chaotic motions of a 3-D quadratic autonomous system with a four-wing chaotic attractor are investigated in this *** on the linearization analysis,the stability of the equilibrium points is *** using the undetermined coefficient method,the homoclinic and heteroclinic orbits are found and the series expansions of these two types of orbits is *** analytically demonstrates that there exist homoclinic orbits of Silnikov type that join the equilibrium points to themselves and heteroclinic orbits of Silnikov type connecting the equilibrium ***,Smale horseshoes and the horseshoe chaos occur for this system via the Silnikov criterion.

关键词： 3-D Quadratic Autonomous System four-wing chaotic attractor Heteroclinic Orbit Homoclinic Orbit Smale Horseshoe Chaos

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A New four-wing chaotic System and Its Unified Generalized Projective Synchronization

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Wuhan University Journal of Natural Sciences 2020年第3期25卷 256-266页

作者： ZHANG Li PENG Jiankui The Basic Courses Department Lanzhou Institute of TechnologyLanzhou 730050GansuChina The Institute of Education Lanzhou University of Arts and ScieneeLanzhou 730000GansuChina

In this paper,some basic properties of a new four-dimensional(4 D)continuous autonomous chaotic system,in which each equation contains a cubic cross-product term,are further *** new system has 9 equilibria displaying graceful symmetry with respect to the origin and coordinate planes,and the stability of them are *** detailed bifurcation analysis is given to demonstrate the evolution processes of the *** simulations show that the system evolves chaotic motions through period-doubling bifurcation or intermittence chaos while the system parameters *** design a new scheme of generalized projective synchronization,so-called unified generalized projective synchronization,whose response signal synchronizes with the linear combination of drive *** design has the advantages of containing complete synchronization,anti-synchronization and disorder synchronization over the usual generalized projective synchronization,such that it can provide greater security in secure *** on Lyapunov stability theorem,some sufficient conditions for the new synchronization are *** simulations demonstrate the effectiveness and feasibility of the method by employing the four-wing chaotic system.

关键词： four-wing chaotic attractor four-dimensional(4D)chaotic system Lyapunov exponents bifurcation generalized projective synchronization

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A new four-dimensional four-wing chaotic circuit based on Qi chaotic system

A new four-dimensional four-wing chaotic circuit based on Qi...

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第37届中国控制会议

作者： Lv Yanmin Min Fuhong Li Chuang Ye Biaoming School of Electrical and Automation Engineering

In this paper,a new four-dimensional four-wing chaotic circuit based on Qi chaotic system is proposed and the nonlinear characteristics are analyzed from the point of view of symmetry,dissipation and equilibrium ***,numerical analysis methods of nonlinear circuit,such as phase diagram,bifurcation diagram and Lyapunov exponent spectrum,are used to study the rich dynamic behavior with the change of system parameters and initial *** results indicate that the nonlinear system can generate attractor with different topological under distinct system ***,the coexistence of this system is abundant with diverse initial ***,the experimental results of circuit are in agreement with the numerical simulations which prove the circuit implantation of system is feasible completely.

关键词： four-dimensional system four-wing chaotic attractor coexistence circuit simulation

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