Summary
International Symposium on Nonlinear Theory and its Applications
2017
Session Number:B1L-A-1
Session:
Number:B1L-A-1-1
Phase Reduction Theory for Strongly Coupled Limit-Cycle Oscillators
Wataru Kurebayashi, Sho Shirasaka, Hiroya Nakao,
pp.342-342
Publication Date:2017/12/4
Online ISSN:2188-5079
DOI:10.34385/proc.29.B1L-A-1-1
Summary:
Unlike the conventional phase reduction method limited to weakly perturbed oscillators, a generalized phase reduction method [W. Kurebayashi et al., Phys. Rev. Lett., 2013] has enabled the reduction of a strongly perturbed limit-cycle oscillator to a one-dimensional phase model. In this study, by applying the generalized phase reduction method, we derive a new phase model that enables theoretical analysis of strongly coupled oscillators. Since this method can explicitly take into account the deformation of orbits due to strong perturbations, our model can describe nontrivial phase dynamics of strongly coupled oscillators on deformed manifolds.