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Cited by 1,355

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Stability Theory of Synchronized Motion in Coupled-Oscillator Systems

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Fujisaka, H., Yamada, T.·1983·Progress of Theoretical Physics
DOI 10.1143/ptp.69.32
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Abstract

The general stability theory of the synchronized motions of the coupled-oscillator systems is developed with the use of the extended Lyapunov matrix approach. We give the explicit formula for a stability parameter of the synchronized state Ψunif. When the coupling strength is weakened, the coupled system may exhibit several types of non-synchronized motion. In particular, if Ψunif is chaotic, we always get a transition from chaotic Ψunif to a certain non-uniform state and finally the non-uniform chaos. Details associated with such transition are investigated for the coupled Lorenz model. As an application of the theory, we propose a new experimental method to directly measure the positive Lyapunov exponent of intrinsic chaos in reaction systems.

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Metadata

Authors
Fujisaka, H., & Yamada, T.
Venue
Progress of Theoretical Physics
Publisher
Oxford University Press (OUP)
Published
1983-01-01
Volume
69
Issue
1
Pages
32-47
ISSN
  • 0033-068X (ISSN-L)
  • 1347-4081
DOI
10.1143/ptp.69.32
OpenAlex
W2093627340
Cited by
1,355
References
0
FWCI
3.51
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: Stability Theory of Synchronized Motion in Coupled-Oscillator Systems. https://app.cochat.ai/papers/10.1143/ptp.69.32
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Fujisaka, H., & Yamada, T. (1983). Stability Theory of Synchronized Motion in Coupled-Oscillator Systems. Progress of Theoretical Physics. https://doi.org/10.1143/ptp.69.32

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