• Corpus ID: 119250170

A role of asymmetry in linear response of globally coupled oscillator systems.

  title={A role of asymmetry in linear response of globally coupled oscillator systems.},
  author={Yu Terada and Keigo Ito and Ryosuke Yoneda and Toshio Aoyagi and Yoshiyuki Y. Yamaguchi},
  journal={arXiv: Adaptation and Self-Organizing Systems},
The linear response is studied in globally coupled oscillator systems including the Kuramoto model. We develop a linear response theory which can be applied to systems whose coupling functions are generic. Based on the theory, we examine the role of asymmetry introduced to the natural frequency distribution, the coupling function, or the coupling constants. A remarkable difference appears in coexistence of the divergence of susceptibility at the critical point and a nonzero phase gap between… 

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  • L. BasnarkovV. Urumov
  • Mathematics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2007
It is found that the phase transition is of first order as long as there is a finite flat region and that in the vicinity of the critical coupling the following scaling law holds r-rc proportional, variant(K-Kc)2/(2m+3), where r is the order parameter and K is the coupling strength of the interacting oscillators.