Summary
the 2014 International Symposium on Nonlinear Theory and its Applications
2014
Session Number:D3L-D
Session:
Number:D3L-D1
Synchronization Analysis of Nonlinear Oscillators by a Quadratic Phase Model
Wataru Kurebayashi, Sho Shirasaka, Hiroya Nakao,
pp.874-877
Publication Date:2014/9/14
Online ISSN:2188-5079
Summary:
In analyzing synchronization dynamics of self-sustained oscillators, a one-dimensional simple model, called a phase model, has played an important role. Recently, we proposed a generalized phase model that robustly works even when the oscillator receives strong inputs, but it has a drawback that detailed response properties of the oscillator, which can be significantly laborious to compute in some cases, are necessary. In this paper, we propose a quadratic phase model, i.e., a quadratic approximation to the generalized phase model, whose response properties can be easily computed. In addition, we propose an efficient numerical method for computing the response properties of the quadratic phase model, and illustrate the validity of the proposed numerical method using a modified Stuart-Landau oscillator as an example.