Synchronization of chaotic systems: Transverse stability of trajectories in invariant manifolds

DOI10.1063/1.166213zbMath0933.37026arXivchao-dyn/9704004OpenAlexW2069223778WikidataQ46551628 ScholiaQ46551628MaRDI QIDQ4935790

Reggie Brown, Nikolai F. Rul'kov

Publication date: 17 January 2000

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

Full work available at URL: https://arxiv.org/abs/chao-dyn/9704004

zbMATH Keywords

linear stabilityinvariant manifoldssynchronizationcontrol theoryidentical chaotic systems

Mathematics Subject Classification ID

Dynamical systems in control (37N35) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

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Cites Work

• Dynamical averaging in terms of periodic orbits
• Synchronous chaotic behaviour of a response oscillator with chaotic driving
• Stability Theory of Synchronized Motion in Coupled-Oscillator Systems
• A UNIFIED FRAMEWORK FOR SYNCHRONIZATION AND CONTROL OF DYNAMICAL SYSTEMS
• AN ADAPTIVE APPROACH TO THE CONTROL AND SYNCHRONIZATION OF CONTINUOUS-TIME CHAOTIC SYSTEMS
• MUTUAL SYNCHRONIZATION OF CHAOTIC SELF-OSCILLATORS WITH DISSIPATIVE COUPLING
• FROM CHAOS TO ORDER — PERSPECTIVES AND METHODOLOGIES IN CONTROLLING CHAOTIC NONLINEAR DYNAMICAL SYSTEMS
• From attractor to chaotic saddle: a tale of transverse instability

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