Synchronous chaos in the coupled system of two logistic maps

DOI10.1016/j.chaos.2004.04.036zbMath1071.37024OpenAlexW2057612231MaRDI QIDQ1771681

Guo-wei He, Guo-yi He

Publication date: 18 April 2005

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: http://dspace.imech.ac.cn/handle/311007/33845

zbMATH Keywords

structural stabilitycoupled map latticesdiffusive couplinglogistic mapssynchronous chaostransverse Lyapunov exponents

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Generic properties, structural stability of dynamical systems (37C20) Dynamical systems involving maps of the interval (37E05)

Related Items (8)

Li-Yorke chaos and synchronous chaos in a globally nonlocal coupled map lattice ⋮ Chaos in the delay logistic equation with discontinuous delays ⋮ Effects of randomness on chaos and order of coupled logistic maps ⋮ Codimension-one and -two bifurcation analysis of a two-dimensional coupled logistic map ⋮ Dynamic properties of coupled maps ⋮ A study on the numerical convergence of the discrete logistic map ⋮ Synchronizability and mode-locking of two scaled quadratic maps via symmetric direct-coupling ⋮ Stochastic Hopf-Hopf bifurcation of two-species discrete coupling logistic system with symbiotic interaction

Cites Work

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• Wavelike patterns in one-dimensional coupled map lattices
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Stability of wavelengths and spatiotemporal intermittency in coupled map lattices
• Stability Theory of Synchronized Motion in Coupled-Oscillator Systems
• Convective coupled map for simulating spatiotemporal chaos in flows
• Synchronization in chaotic systems

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