Desynchronization Transitions in Rings of Coupled Chaotic Oscillators

DOI10.1142/S021812749800142XzbMath0941.34026MaRDI QIDQ4941346

Inés P. Mariño, V. Pérez-Muñuzuri, M. A. Matías

Publication date: 29 February 2000

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

zbMATH Keywords

Chua's circuitchaotic oscillatorsdesynchronization transitionsperiodic rotating wavesrings of Lorenz systems

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (8)

Transient chaotic rotating waves in a ring of unidirectionally coupled symmetric Bonhoeffer-van der Pol oscillators near a codimension-two bifurcation point ⋮ SIZE INSTABILITIES IN THE RING AND LINEAR ARRAYS OF CHAOTIC SYSTEMS ⋮ Synchronization and waves in a ring of diffusively coupled memristor-based Chua's circuits ⋮ Exponential dispersion relation and its effects on unstable propagating pulses in unidirectionally coupled symmetric bistable elements ⋮ Metastable and chaotic transient rotating waves in a ring of unidirectionally coupled bistable Lorenz systems ⋮ TRANSITION TO CHAOTIC PHASE SYNCHRONIZATION THROUGH RANDOM PHASE JUMPS ⋮ Communication with spatial periodic chaos synchronization ⋮ Spatiotemporal pattern formation in a ring of Chua's oscillators

Cites Work

• A group-theoretic approach to rings of coupled biological oscillators
• Stability Theory of Synchronized Motion in Coupled-Oscillator Systems
• The chemical basis of morphogenesis
• Synchronization in chaotic systems

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