Stability Theory of Synchronized Motion in Coupled-Oscillator Systems

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ID: 294883
1983
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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.
Reference Key
openalex_W2093627340 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Hirokazu Fujisaka, Tomonori Yamada
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Journal progress of theoretical physics
Year 1983
DOI
10.1143/ptp.69.32
URL
https://academic.oup.com/ptp/article-pdf/69/1/32/5195059/69-1-32.pdf
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