On the geometry of master–slave synchronization

DOI10.1063/1.1460943zbMath1080.37516OpenAlexW2094081039WikidataQ50304684 ScholiaQ50304684MaRDI QIDQ5706287

Marco Martens, Charles Tresser, Patrick A. Worfolk, Elisabeth Pécou

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/10.1063/1.1460943

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Dynamical systems with hyperbolic orbits and sets (37D05)

Related Items (3)

Generalized synchronization of strictly different systems: Partial-state synchrony ⋮ Synchronization of chaotic systems with parametric uncertainty using active sliding mode control ⋮ Splitting the dynamics of large biochemical interaction networks

Cites Work

• On Ochoa's special matrices in matrix classes
• A wait-and-reset strategy to synchronizing chaotic systems
• Resynchronizing dynamical systems
• Topological conjugacy of linear endomorphisms of the 2-torus
• Matrices with Prescribed Characteristic Polynomials
• Stably nonsynchronizable maps of the plane
• A UNIFIED FRAMEWORK FOR SYNCHRONIZATION AND CONTROL OF DYNAMICAL SYSTEMS
• A SIMPLE WAY TO SYNCHRONIZE CHAOTIC SYSTEMS WITH APPLICATIONS TO SECURE COMMUNICATION SYSTEMS
• Master-slave synchronization from the point of view of global dynamics
• Deterministic Nonperiodic Flow
• Master-slave synchronization and the Lorenz equations
• Synchronization in chaotic systems

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