Synchronization of chaotic systems: Transverse stability of trajectories in invariant manifolds
type: Item
instance of: scholarly article
title: Synchronization of chaotic systems: Transverse stability of trajectories in invariant manifolds
zbMATH Open document ID: 0933.37026
DOI: 10.1063/1.166213
author: Reggie Brown
author: N. F. Rulkov
published in: Chaos: An Interdisciplinary Journal of Nonlinear Science
publication date: 2000-01-17T00:00:00Z
full work available at URL: https://arxiv.org/abs/chao-dyn/9704004
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 37N35
zbMATH DE Number: 1390404
zbMATH Keywords: synchronization
zbMATH Keywords: identical chaotic systems
zbMATH Keywords: linear stability
zbMATH Keywords: invariant manifolds
zbMATH Keywords: control theory
Wikidata QID: Q46551628
MaRDI profile type: Publication
OpenAlex ID: W2069223778
arXiv ID: chao-dyn/9704004
cites work: Stability theory of synchronized motion in coupled-oscillator systems.
cites work: FROM CHAOS TO ORDER — PERSPECTIVES AND METHODOLOGIES IN CONTROLLING CHAOTIC NONLINEAR DYNAMICAL SYSTEMS
cites work: MUTUAL SYNCHRONIZATION OF CHAOTIC SELF-OSCILLATORS WITH DISSIPATIVE COUPLING
cites work: A UNIFIED FRAMEWORK FOR SYNCHRONIZATION AND CONTROL OF DYNAMICAL SYSTEMS
cites work: From attractor to chaotic saddle: a tale of transverse instability
cites work: Synchronous chaotic behaviour of a response oscillator with chaotic driving
cites work: Dynamical averaging in terms of periodic orbits
cites work: AN ADAPTIVE APPROACH TO THE CONTROL AND SYNCHRONIZATION OF CONTINUOUS-TIME CHAOTIC SYSTEMS
description: scientific article; zbMATH DE number 1390404