Frequency-input-timescale relations in two-dimensional Hindmarsh-Rose model

Yasuomi D. Sato

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Stability analysis and control of two-timescale systems are of importance for understanding oscillation emergence mechanisms. In this work, we study theoretically frequency-input-timescale (called the f-z-μ) relation in the two-dimensional Hindmarsh-Rose (2DHR) oscillator. All bifurcations of saddle-node, Andronov-Hopf and saddle-node on invariant cycle are also computed with the respective parameter sets, giving the respective frequency gradient equation in terms of z and μ derived by approaches of their small perturbation on the oscillation. The core target in this analysis is to understand dynamical property of the f-μ cleft on the 2DHR undergoing the SNIC bifurcation, compared to oscillatory dynamics of the system exhibiting the other bifurcations.

Original languageEnglish
Title of host publication6th International Conference on Soft Computing and Intelligent Systems, and 13th International Symposium on Advanced Intelligence Systems, SCIS/ISIS 2012
Pages315-320
Number of pages6
DOIs
Publication statusPublished - 2012 Dec 1
Event2012 Joint 6th International Conference on Soft Computing and Intelligent Systems, SCIS 2012 and 13th International Symposium on Advanced Intelligence Systems, ISIS 2012 - Kobe, Japan
Duration: 2012 Nov 202012 Nov 24

Publication series

Name6th International Conference on Soft Computing and Intelligent Systems, and 13th International Symposium on Advanced Intelligence Systems, SCIS/ISIS 2012

Other

Other2012 Joint 6th International Conference on Soft Computing and Intelligent Systems, SCIS 2012 and 13th International Symposium on Advanced Intelligence Systems, ISIS 2012
CountryJapan
CityKobe
Period12/11/2012/11/24

ASJC Scopus subject areas

  • Artificial Intelligence
  • Software

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