Estimation of the dominant Lyapunov exponent of non-smooth systems on the basis of maps synchronization.
type: Item
instance of: scholarly article
title: Estimation of the dominant Lyapunov exponent of non-smooth systems on the basis of maps synchronization.
zbMATH Open document ID: 1038.37027
DOI: 10.1016/S0960-0779(02)00095-4
published in: Chaos, Solitons and Fractals
publication date: 2004-01-14T00:00:00Z
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 2027003
author: Andrzej Stefański
author: Tomasz Kapitaniak
describes a project that uses: Dynamics
MaRDI profile type: Publication
cites work: Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
cites work: Stability theory of synchronized motion in coupled-oscillator systems.
cites work: Dynamics of oscillators with impact and friction
cites work: MONOTONE SYNCHRONIZATION OF CHAOS
cites work: Calculation of Lyapunov exponents for dynamic systems with discontinuities.
cites work: Q5646734
cites work: Using chaos synchronization to estimate the largest Lyapunov exponent of nonsmooth systems
cites work: Estimation of the largest Lyapunov exponent in systems with impacts
cites work: Determining Lyapunov exponents from a time series
Recommended article: Using chaos synchronization to estimate the largest Lyapunov exponent of nonsmooth systems
Recommended article: On estimates of Lyapunov exponents of synchronized coupled systems
Recommended article: On the Numerical Solution of Semilinear Parabolic Problems in Multicomponent Structures with Volterra Operators in the Transmission Conditions and in the Boundary Conditions
Recommended article: Approximate and efficient calculation of dominant Lyapunov exponents of high-dimensional nonlinear dynamic systems
Recommended article: Synchronization-like behaviors of dynamical systems with non negative Lyapunov exponents
Recommended article: Synchronization, Lyapunov exponents and stable manifolds for random dynamical systems
Recommended article: Synchronization of non-identical chaotic systems: an exponential dichotomies approach
Recommended article: From synchronization to Lyapunov exponents and back
Recommended article: Q3812150
description: scientific article; zbMATH DE number 2027003