Summary
International Symposium on Nonlinear Theory and Its Applications
2015
Session Number:B2L-D
Session:
Number:B2L-D-5
Arnold Tongues of 2-D Piecewise Constant Driven Oscillator
Hironori Kuriyama, Tadashi Tsubone,
pp.479-482
Publication Date:2015/12/1
Online ISSN:2188-5079
Summary:
In this study, we consider bifurcation phenomena of a two-dimensional piecewise-constant driven oscillator. The system exhibits phase-locking phenomena in a region in the space of parameters. The region is known as Arnold tongues. We propose a novel method in order to analyze piecewise-constant systems with external force. By using the method, we show theoretical result of stability and bifurcation of the piecewise-constant system driven by an external force, especially, we strictly derive boundaries of Arnold tongues.