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A New Lorenz-Like Chaotic Attractor and Its Synchronization

A New Lorenz-Like Chaotic Attractor and Its Synchronization

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2009中国控制与决策会议

作者： Buncha Munmuallgsaen banlue srisuchinwong Sirindhorn International Institute of Technology Thammasat UniversityPathum-ThaniThailand 12000

＜正＞A new Lorenz-Like chaotic attractor is presented with some basic properties in terms of equilibria, eigenvalues of the Jacobian matrices,generalized Lorenz system（GLS）,existence of the attractor,Lyapunov exponents and compound *** the differential equations of the new system are quite different from those of the Lorenz system,and although they are not topological equivalent,the appearance of the chaotic attractor of the new system resembles that of the Lorenz *** an example, synchronization between the new system and the well-known Rossler attractor is demonstrated using active control.

关键词： Chaos Synchronization of Chaotic Systems Generalized Lorenz System

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Opposite Bifurcations in a Uniform-Coefficient Chaotic Jerk Model Based on a Nonlinearity of ArcSinh（Bx）

Opposite Bifurcations in a Uniform-Coefficient Chaotic Jerk ...

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2011 Chinese Control and Decision Conference（CCDC）

作者： banlue srisuchinwong Buncha Munmuangsaen School of Information Computerand Communication TechnologySirindhorn International Institute of TechnologyThammasat University

A uniform-coefficient chaotic jerk model based on a nonlinearity of arcsinh（Bx） is presented where either a uniform coefficient A or a parameter B can be a control parameter for bifurcations in either negative or positive directions,respectively.A bifurcation in the positive direction can be demonstrated when A is a certain constant and B is an increasing control *** the contrary,an opposite bifurcation in the negative direction can be demonstrated when B is a certain constant and A is a decreasing control *** dynamical properties are also illustrated.

关键词： Opposite Bifurcations Chaos Jerk Uniform Coefficient

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Compound Structures of New Chaotic Attractors in a Commonly-Distributed-Coefficient Jerk Model with Arcsine and Arc-hyperbolic Sine Nonlinearity

Compound Structures of New Chaotic Attractors in a Commonly-...

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2010 Chinese Control and Decision Conference

作者： banlue srisuchinwong Anawat Wangkuntod Janvit Tippinit School of Information Computer and Communication Technology（ICT）Sirindhorn International Institute of TechnologyThammasat UniversityPathum-ThaniThailand 12000

＜正＞Two new chaotic attractors in a commonly-distributed-coefficient jerk model are proposed with new coefficients and new *** latter is based on arcsine and arc-hyperbolic sine *** particular, compound structures of both attractors are demonstrated through a half-image isolation using a control parameter *** positive value of an appropriate C isolates the right half-image attractors whilst the negative value of an appropriate C isolates the left half-image *** images can then be merged together as a compound *** mechanism of compound structures has been *** of gradual development of the compound structures have also been demonstrated.

关键词： Chaos Jerk Model arcsine arc-hyperbolic sine nonlinearity

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Compound Structures of Six New Chaotic Attractors in a Solely-Single-Coefficient Jerk Model with Arctangent Nonlinearity

Compound Structures of Six New Chaotic Attractors in a Solel...

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2010 Chinese Control and Decision Conference

作者： Teerachot Siriburanon banlue srisuchinwong Teera Nontapradit School of Information Computer and Communication Technology（ICT）Sirindhorn International Institute of TechnologyThammasat UniversityPathum-ThaniThailand12000

＜正＞Six new chaotic attractors in a solely-single-coefficient jerk model are presented with new coefficients and new arctangent *** addition,compound structures of such new attractors are demonstrated through the use of a half-image operation using a control parameter *** positively appropriate value of h isolates the right half-image attractors whilst the negatively appropriate value of h isolates the left half-image *** images can then be merged together as a compound *** of bifurcation diagrams,Poincare maps and maximum Lyapunov exponent have also been demonstrated.

关键词： Chaos Jerk Model Compound Structures Arctangent Nonlinearity Maximum Lyapunov Exponent

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