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Hyperbolic chaos in a system of resonantly coupled weakly nonlinear oscillators

  • We show that a hyperbolic chaos can be observed in resonantly coupled oscillators near a Hopf bifurcation, described by normal-form-type equations for complex amplitudes. The simplest example consists of four oscillators, comprising two alternatively activated, due to an external periodic modulation, pairs. In terms of the stroboscopic Poincare map, the phase differences change according to an expanding Bernoulli map that depends on the coupling type. Several examples of hyperbolic chaos for different types of coupling are illustrated numerically.

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Author details:L. V. Turukina, Arkadij PikovskijORCiDGND
DOI:https://doi.org/10.1016/j.physleta.2011.02.017
ISSN:0375-9601
Title of parent work (English):Modern physics letters : A, Particles and fields, gravitation, cosmology, nuclear physics
Publisher:Elsevier
Place of publishing:Amsterdam
Publication type:Article
Language:English
Year of first publication:2011
Publication year:2011
Release date:2017/03/26
Tag:Coupled oscillators; Hyperbolic chaos
Volume:375
Issue:11
Number of pages:5
First page:1407
Last Page:1411
Funding institution:RFBR [08-02-91963]; DFG [436RUS 113/949]
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Peer review:Referiert
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