Generating macroscopic chaos in a network of globally coupled phase oscillators

Chaos

Volumn 21, Issue 3, 2011, Pages

  So, Paul ^a   Barreto, Ernest ^a  

^a GEORGE MASON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 80053404723     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3638441     Document Type: Article

References (47)

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46. In a recent paper by Kuznetsov (Ref. 22), collective phase chaos was numerically observed from the averaged system of a network of van del Pol oscillators with an usual nonlinear resonant on-off switching interaction. Although the resulting network of phase oscillators has a non-Kuramoto type coupling and thus a reduction technique similar to the OA method (Refs. 910) or the Watanabe and Strogatz method (Ref. 26) cannot be applied, numerical results from a large but finite network indicate that the macroscopic mean field can still be low dimensional and chaotic. This provides more evidence that low dimensional chaos can be generated in the macroscopic mean field of large networks of phase oscillators.
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