Summary
International Symposium on Nonlinear Theory and Its Applications
2022
Session Number:A4L-E
Session:
Number:A4L-E-02
Rigorous Analysis of Hysteresis Structure Observed in Arnol'd Tongue
Mizuki Urushibara , Tadashi Tsubone , Naohiko Inaba,
pp.147-150
Publication Date:12/12/2022
Online ISSN:2188-5079
Summary:
This study investigates Arnold tongues generated by 2-D piecewise-constant driven oscillator. In this paper, we derived analytically some of the bounds of the fundamental harmonic entrainment for increasing time period T. We also confirmed the transition from the periodic solution to the two chaotic attractors and then back to the periodic solution.