Add to ORKGFour aspects of the dynamics of continuous-time dynamical systems are studied in this work. The relationship between the Lyapunov exponents of the original system and the Lyapunov exponents of induced Poincare maps is examined. The behavior of these Poincare maps as discriminators of chaos from noise is explored, and the possible Poissonian statistics generated at rarely visited surfaces are studied
Attention is focused on the chaotic behaviour of dynamical systems under stochastic excitation. Char...
Certain deterministic non-linear systems may show chaotic behaviour. Time series derived from such s...
An important component of the mathematical definition of chaos is sensitivity to initial conditions....
Low-dimensional chaotic dynamical systems can exhibit many characteristic properties of stochastic s...
In many applications, there is a desire to determine if the dynamics of interest are chaotic or not....
(Communicated by Stefano Boccaletti) Abstract. This study presents a survey of the results obtained ...
We consider situations where, in a continuous-time dynamical system, a nonchaotic attractor coexists...
In many applications, there is a desire to determine if the dynamics of interest are chaotic or not....
Attention is focused on the chaotic behaviour of dynamical systems under stochastic excitation. Char...
Spectral statistics of the Lyapunov exponents computed for coupled map networks bear strong signatur...
In this chapter, we first precise the concept of dynamical systems, and then we introduce the concep...
. Direct estimation of the largest Lyapunov exponent as a measure of exponential divergence of nearb...
The master's thesis deals mainly with continuous nonlinear dynamical systems that exhibit chaotic be...
In this article, we consider chaotic behavior happened in nonsmooth dynamical systems. To quantify s...
Various kinematical quantities associated with the statistical properties of dynamical systems are e...
Attention is focused on the chaotic behaviour of dynamical systems under stochastic excitation. Char...
Certain deterministic non-linear systems may show chaotic behaviour. Time series derived from such s...
An important component of the mathematical definition of chaos is sensitivity to initial conditions....
Low-dimensional chaotic dynamical systems can exhibit many characteristic properties of stochastic s...
In many applications, there is a desire to determine if the dynamics of interest are chaotic or not....
(Communicated by Stefano Boccaletti) Abstract. This study presents a survey of the results obtained ...
We consider situations where, in a continuous-time dynamical system, a nonchaotic attractor coexists...
In many applications, there is a desire to determine if the dynamics of interest are chaotic or not....
Attention is focused on the chaotic behaviour of dynamical systems under stochastic excitation. Char...
Spectral statistics of the Lyapunov exponents computed for coupled map networks bear strong signatur...
In this chapter, we first precise the concept of dynamical systems, and then we introduce the concep...
. Direct estimation of the largest Lyapunov exponent as a measure of exponential divergence of nearb...
The master's thesis deals mainly with continuous nonlinear dynamical systems that exhibit chaotic be...
In this article, we consider chaotic behavior happened in nonsmooth dynamical systems. To quantify s...
Various kinematical quantities associated with the statistical properties of dynamical systems are e...
Attention is focused on the chaotic behaviour of dynamical systems under stochastic excitation. Char...
Certain deterministic non-linear systems may show chaotic behaviour. Time series derived from such s...
An important component of the mathematical definition of chaos is sensitivity to initial conditions....