Generalized synchronization of identical chaotic systems on the route from an independent dynamics to the complete synchrony

DOI10.1134/S1560354713030027zbMath1278.34057MaRDI QIDQ359000

Alexey Yu. Jalnine

Publication date: 9 August 2013

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

zbMATH Keywords

strange attractorschaotic dynamicssynchronization

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Stability of solutions to ordinary differential equations (34D20) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems with hyperbolic orbits and sets (37D05) Nonautonomous smooth dynamical systems (37C60) Synchronization of solutions to ordinary differential equations (34D06)

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Synchronization of A Class of Uncertain Chaotic Systems with Lipschitz Nonlinearities Using State‐Feedback Control Design: A Matrix Inequality Approach ⋮ From chaos to quasi-periodicity

Cites Work

• The synchronization of chaotic systems
• Stability Theory of Synchronized Motion in Coupled-Oscillator Systems
• Symmetry breaking bifurcation for coupled chaotic attractors
• A unifying definition of synchronization for dynamical systems
• Synchronization in chaotic systems
• Synchronization of time-continuous chaotic oscillators

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