Practical applications of chaos require the chaotic orbit to be robust, defined by the absence of periodic windows and coexisting attractors in some neighborhood of the parameter space. We show that robust chaos can occur in piecewise smooth systems and obtain the conditions of its occurrence. We illustrate this phenomenon with a practical example from electrical engineering
In this work we investigate the dynamics of a one-dimensional piecewise smooth map, which represents...
We consider the problem of creating a robust chaotic neural network. Robustness means that chaos can...
This paper shows the circuitry implementation and practical verification of the autonomous nonlinear...
Practical applications of chaos are likely to face problems of reliability because of the existence ...
Robust chaos is determined by the absence of periodic windows in bifurcationdiagrams and coexisting ...
Robust chaos is defined as the absence of periodic windows and coexisting attractors in some neighbo...
We consider situations where, in a continuous-time dynamical system, a nonchaotic attractor coexists...
Understanding the transition to turbulence is a long-lasting problem in fluid dynamics, particularly...
Results are reported concerning the transition to chaos in random dynamical systems. In particular, ...
Robust chaos is an important idea in the study of piecewise smooth maps. The different techniques us...
For dynamical systems possessing invariant subspaces one can have a robust homoclinic cycle to a cha...
We demonstrate that under certain circumstances a chaotic system driven by another chaotic system im...
International audienceThe present paper introduces a new techniques to generate several independent ...
In this paper, we propose a general method for controlling chaos in a nonlinear dynamical system con...
Copyright © 2003 American Institute of Physics. This article may be downloaded for personal use only...
In this work we investigate the dynamics of a one-dimensional piecewise smooth map, which represents...
We consider the problem of creating a robust chaotic neural network. Robustness means that chaos can...
This paper shows the circuitry implementation and practical verification of the autonomous nonlinear...
Practical applications of chaos are likely to face problems of reliability because of the existence ...
Robust chaos is determined by the absence of periodic windows in bifurcationdiagrams and coexisting ...
Robust chaos is defined as the absence of periodic windows and coexisting attractors in some neighbo...
We consider situations where, in a continuous-time dynamical system, a nonchaotic attractor coexists...
Understanding the transition to turbulence is a long-lasting problem in fluid dynamics, particularly...
Results are reported concerning the transition to chaos in random dynamical systems. In particular, ...
Robust chaos is an important idea in the study of piecewise smooth maps. The different techniques us...
For dynamical systems possessing invariant subspaces one can have a robust homoclinic cycle to a cha...
We demonstrate that under certain circumstances a chaotic system driven by another chaotic system im...
International audienceThe present paper introduces a new techniques to generate several independent ...
In this paper, we propose a general method for controlling chaos in a nonlinear dynamical system con...
Copyright © 2003 American Institute of Physics. This article may be downloaded for personal use only...
In this work we investigate the dynamics of a one-dimensional piecewise smooth map, which represents...
We consider the problem of creating a robust chaotic neural network. Robustness means that chaos can...
This paper shows the circuitry implementation and practical verification of the autonomous nonlinear...
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