Add to ORKGMany of the nonlinear high-dimensional systems have hyperchaotic attractors. Typical trajectory on such attractors is characterized by at least two positive Lyapunov exponents. We provide numerical evidence that chaos–hyperchaos transition in six-dimensional dynamical system given by flow can be characterized by the set of infinite number of unstable periodic orbits embedded in the attractor as it was previously shown for the case of two coupled discrete maps. 2001 Elsevier Science B.V. All rights reserved. PACS: 05.45.+
For dynamical systems possessing invariant subspaces one can have a robust homoclinic cycle to a cha...
A new transition mechanism to Alfvén chaos via boundary crisis in space and astrophysical plasmas is...
This article presents a hyperchaotic system of five-dimensional autonomous ODEs that has five cross-...
We study chaotic dynamics in a system of four differential equations describing the dynamics of five...
It has recently been reported P. C. Reich, Neurocomputing, 74 (2011), pp. 3361-3364] that it is quit...
An in depth study of temporal chaotic systems, both discrete and continuous, is presented. The tech...
Abstract: The article discusses the emergence of chaotic attractors in the system of three...
One approach to understand the chaotic dynamics of nonlinear dissipative systems is the study of non...
We consider situations where, in a continuous-time dynamical system, a nonchaotic attractor coexists...
Copyright © 2003 American Institute of Physics. This article may be downloaded for personal use only...
The paper introduces new 4-D dynamical systems ensuring full hyperchaotic patterns. Its focal statem...
Computer simulations of partial differential equations of mathematical physics typically lead to som...
Systems without equilibria with chaotic flows have been the focus of recent works. Since there are n...
with respect to the strength of a coupling parameter. By varying the coupling parameter, we investi...
ABSTRACT In this paper we investigate the dynamical behavior of a symmetric coupling of three quadra...
For dynamical systems possessing invariant subspaces one can have a robust homoclinic cycle to a cha...
A new transition mechanism to Alfvén chaos via boundary crisis in space and astrophysical plasmas is...
This article presents a hyperchaotic system of five-dimensional autonomous ODEs that has five cross-...
We study chaotic dynamics in a system of four differential equations describing the dynamics of five...
It has recently been reported P. C. Reich, Neurocomputing, 74 (2011), pp. 3361-3364] that it is quit...
An in depth study of temporal chaotic systems, both discrete and continuous, is presented. The tech...
Abstract: The article discusses the emergence of chaotic attractors in the system of three...
One approach to understand the chaotic dynamics of nonlinear dissipative systems is the study of non...
We consider situations where, in a continuous-time dynamical system, a nonchaotic attractor coexists...
Copyright © 2003 American Institute of Physics. This article may be downloaded for personal use only...
The paper introduces new 4-D dynamical systems ensuring full hyperchaotic patterns. Its focal statem...
Computer simulations of partial differential equations of mathematical physics typically lead to som...
Systems without equilibria with chaotic flows have been the focus of recent works. Since there are n...
with respect to the strength of a coupling parameter. By varying the coupling parameter, we investi...
ABSTRACT In this paper we investigate the dynamical behavior of a symmetric coupling of three quadra...
For dynamical systems possessing invariant subspaces one can have a robust homoclinic cycle to a cha...
A new transition mechanism to Alfvén chaos via boundary crisis in space and astrophysical plasmas is...
This article presents a hyperchaotic system of five-dimensional autonomous ODEs that has five cross-...