COMPLEX BEHAVIOR IN COUPLED CHAOTIC CIRCUITS RELATED BY INTERMITTENCY AND ITS MODELING METHODS

DOI10.1142/S0218127412300376zbMath1258.94052OpenAlexW2153333076MaRDI QIDQ4908363

Yoko Uwate, Yoshifumi Nishio

Publication date: 5 March 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127412300376

zbMATH Keywords

chaos synchronizationintermittency chaoscoupled chaotic circuits

Mathematics Subject Classification ID

Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Analytic circuit theory (94C05) Complex behavior and chaotic systems of ordinary differential equations (34C28) Dynamical systems involving maps of the interval (37E05) Synchronization of solutions to ordinary differential equations (34D06)

Cites Work

• The synchronization of chaotic systems
• Complexity of dynamics as variability of predictability
• Bubbling of attractors and synchronisation of chaotic oscillators
• Chaos synchronization of different chaotic systems subjected to input nonlinearity
• Bubbling bifurcation: Loss of synchronization and shadowing breakdown in complex systems
• A tensor approach to higher order expectations of quantized chaotic trajectories. I. General theory and specialization to piecewise affine Markov systems
• A tensor approach to higher order expectations of chaotic trajectories. II. Application to chaos-based DS-CDMA in multipath environments
• SYNCHRONIZATION INDUCED BY INTERMITTENT VERSUS PARTIAL DRIVES IN CHAOTIC SYSTEMS
• LOCALLY-INTERMINGLED BASINS OF ATTRACTION IN COUPLED CHUA’S CIRCUITS
• Synchronization in chaotic systems
• Tensor function analysis of quantized chaotic piecewise-affine pseudo-Markov systems. I. Second-order correlations and self similarity
• THE BREAKDOWN OF SYNCHRONIZATION IN SYSTEMS OF NONIDENTICAL CHAOTIC OSCILLATORS: THEORY AND EXPERIMENT
• Chaos-hyperchaos transition in coupled Rössler systems

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