Chaotic saddles at the onset of intermittent spatiotemporal chaos | Zendy

Erico L. Rempel | Zendy; Abraham C.L. Chian | Zendy; Rodrigo A. Miranda | Zendy

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Chaotic saddles at the onset of intermittent spatiotemporal chaos

Author(s) -

Erico L. Rempel,

Abraham C.L. Chian,

Rodrigo A. Miranda

Publication year - 2007

Publication title -

physical review e

Language(s) - English

Resource type - Journals

eISSN - 1550-2376

pISSN - 1539-3755

DOI - 10.1103/physreve.76.056217

Subject(s) - intermittency , attractor , quasiperiodicity , chaotic , saddle , statistical physics , coupled map lattice , physics , chaos (operating system) , saddle point , classical mechanics , synchronization of chaos , mathematics , mathematical analysis , mechanics , control theory (sociology) , computer science , quasiperiodic function , geometry , mathematical optimization , artificial intelligence , control (management) , computer security , turbulence

In a recent study [Rempel and Chian, Phys. Rev. Lett. 98, 014101 (2007)], it has been shown that nonattracting chaotic sets (chaotic saddles) are responsible for intermittency in the regularized long-wave equation that undergoes a transition to spatiotemporal chaos (STC) via quasiperiodicity and temporal chaos. In the present paper, it is demonstrated that a similar mechanism is present in the damped Kuramoto-Sivashinsky equation. Prior to the onset of STC, a spatiotemporally chaotic saddle coexists with a spatially regular attractor. After the transition to STC, the chaotic saddle merges with the attractor, generating intermittent bursts of STC that dominate the post-transition dynamics.

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