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• W1978162571 endingPage "2055" @default.
• W1978162571 startingPage "2047" @default.
• W1978162571 abstract "The spatial and temporal bifurcations of a ring of coupled, discrete-time, nonlinear oscillators are studied. The model displays many of the phenomena observed in diffusively coupled, nonlinear, chemical oscillators which can possess complex dynamics when isolated. The low-order bifurcation diagram of the discrete-time model may be computed analytically and shows how in-phase and out-of-phase solutions arise and undergo further bifurcations to quasiperiodic or chaotic states. Spatial bifurcations (pattern formation) accompany the temporal bifurcations and the results indicate how some of these processes occur. The phase diagram possesses self-similar scaling features associated with the higher-order periodic states. The model should prove useful in identifying the analogous phenomena in physical systems." @default.
• W1978162571 created "2016-06-24" @default.
• W1978162571 creator A5041147881 @default.
• W1978162571 creator A5071954484 @default.
• W1978162571 date "1984-10-01" @default.
• W1978162571 modified "2023-10-12" @default.
• W1978162571 title "Spatial and temporal structure in systems of coupled nonlinear oscillators" @default.
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• W1978162571 doi "https://doi.org/10.1103/physreva.30.2047" @default.
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