Complete synchronizability of chaotic systems: A geometric approach

DOI10.1063/1.1566511zbMath1080.37544OpenAlexW1997893653WikidataQ50304690 ScholiaQ50304690MaRDI QIDQ5706362

Victor Ayala, Wolfgang Kliemann, Gualberto Solis-Perales, Ricardo Femat

Publication date: 7 November 2005

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1566511

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (8)

Transmitting information by controlling nonlinear oscillators ⋮ On the chaotic synchronization of Lorenz systems with time-varying lags ⋮ Global chaos synchronization of three coupled nonlinear autonomous systems and a novel method of chaos encryption ⋮ Complete synchronization of strictly different chaotic systems ⋮ Synchronization of different fractional order time-delay chaotic systems using active control ⋮ CHAOS SYNCHRONIZATION OF CHEN SYSTEMS WITH TIME-VARYING DELAYS ⋮ Controllability and synchronizability: are they related? ⋮ Synchronization of the Frenet-Serret linear system with a chaotic nonlinear system by feedback of states

Cites Work

• Some global properties of a pair of coupled maps: Quasi-symmetry, periodicity, and synchronicity
• Synchronized chaos and other coherent states for two coupled neurons
• Synchronization of a class of strictly different chaotic oscillators
• On the chaos synchronization phenomena
• Nonlinear controllability and observability
• A SIMPLE WAY TO SYNCHRONIZE CHAOTIC SYSTEMS WITH APPLICATIONS TO SECURE COMMUNICATION SYSTEMS
• Synchronization of chaotic systems and invariant manifolds
• A unifying definition of synchronization for dynamical systems
• Taming chaos. II. Control
• Models of central pattern generators for quadruped locomotion. I: Primary gaits.

This page was built for publication: Complete synchronizability of chaotic systems: A geometric approach