Markovian effects in the chaotic synchronization of two coupled one-dimensional lattices of phase oscillators

DOI10.1016/S0375-9601(01)00769-1zbMath1005.70021OpenAlexW2043204381MaRDI QIDQ5951450

Carlos L. Pando L.

Publication date: 6 January 2002

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(01)00769-1

zbMATH Keywords

time seriesspatio-temporal chaoscoupled one-dimensional arrays of phase oscillatorsfirst-order Markov processphase-locked loopsweak coupling

Mathematics Subject Classification ID

Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Time series analysis of dynamical systems (37M10) Complex behavior and chaotic systems of ordinary differential equations (34C28) Continuous-time Markov processes on discrete state spaces (60J27)

Cites Work

• Chemical oscillations, waves, and turbulence
• Effects of a periodic perturbation on a discrete-time model of coupled oscillators
• Spatio-temporal chaos: a solvable model
• From Kuramoto to Crawford: Exploring the onset of synchronization in population of coupled oscillators
• Transverse instability for non-normal parameters
• Special Issue on Statistics in Quality Control
• Synchronization in chaotic systems
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