Analysis of spurious synchronization with positive conditional Lyapunov exponents in computer simulations

DOI10.1016/S0167-2789(99)00127-XzbMath0997.37060OpenAlexW2060405447MaRDI QIDQ1961667

Yanyan Li

Publication date: 19 November 2002

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(99)00127-x

zbMATH Keywords

synchronizationLyapunov exponentSRB measurespartially hyperbolic diffeomorphismsergodic Gibbs \(u\)-statesunstable subbundle

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Simulation of dynamical systems (37M05)

Related Items (12)

SYNCHRONIZATION OF LIMIT SETS ⋮ AN ADAPTIVE OBSERVER DESIGN FOR AUTO-SYNCHRONIZATION OF LORENZ SYSTEM ⋮ An analytical study in coupled map lattices of synchronized states and traveling waves, and of their period-doubling cascades ⋮ EXTREME FLUCTUATIONS OF FINITE-TIME LYAPUNOV EXPONENTS IN CHAOTIC SYSTEMS ⋮ Analytical solutions of weakly coupled map lattices using recurrence relations ⋮ Adaptive synchronization of neural networks with or without time-varying delay ⋮ Identifying parameter by identical synchronization between different systems ⋮ Spurious synchronization in non-diagonally coupled identical Lorenz oscillators ⋮ Bubbling bifurcation: Loss of synchronization and shadowing breakdown in complex systems ⋮ Role of asymmetric clusters in desynchronization of coherent motion ⋮ Roundoff-induced phenomena and diffusion processes: The `premature' synchronisation of coupled maps ⋮ The synchronization of chaotic systems

Cites Work

• Transition to chaos for random dynamical systems
• Controlling chaos
• Synchronization in chaotic systems
• Invariant Manifolds and Synchronization of Coupled Dynamical Systems

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