Summary
International Symposium on Nonlinear Theory and its Applications
2017
Session Number:C0L-D
Session:
Number:C0L-D-1
Analysis of Bifurcation Phenomena of Coupled Piecewise-Constant Hysteresis Oscillators
Tri Quoc Truong, Tadashi Tsubone, Naohiko Inaba,
pp.592-595
Publication Date:2017/12/4
Online ISSN:2188-5079
Summary:
This study analyzes the quasiperiodic bifurcation phenomena of two-coupled piecewise-constant hysteresis oscillator driven by a rectangular wave force and three-coupled piecewise-constant hysteresis oscillator. These oscillators can generate three-dimensional tori. By using a generalized calculation algorithm for deriving Jacobian matrices in piecewise-constant hysteresis systems, we conduct two-parameter Lyapunov diagrams for both non-autonomous two-dimensional system and autonomous three-dimensional system. According to the numerical results, Arnol'd resonance web and the hysteresis phenomenon is observed. The hysteresis distorts the Chenciner bubbles in non-autonomous two-dimensional system, however, we cannot observe such phenomenon in the autonomous three-dimensional system.