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

@article{Terada2018ARO, 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}, year={2018} }

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…

## One Citation

Classification of bifurcation diagrams in coupled phase-oscillator models with asymmetric natural frequency distributions

- PhysicsJournal of Statistical Mechanics: Theory and Experiment
- 2020

Synchronization among rhythmic elements is modeled by coupled phase-oscillators, each of which has the so-called natural frequency. A symmetric natural frequency distribution induces a continuous or…

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