Dynamical systems design of nonlinear oscillators using phase reduction approach

Kazuki Nakada, Keiji Miura, Tetsuya Asai, Hisa Aki Tanaka

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

Abstract

In this paper, we present a dynamical systems design approach for nonlinear oscillators based on the phase reduction theory. Recently, design approaches of nonlinear circuits and devices focus on the mathematical structure of the target circuits and devices as dynamical systems. In general, the dynamical systems design approaches can be characterized by mathematical structures embedded into nonlinear circuits and devices. To clarify our standpoint, we classify such approaches into three: the phase plane and nullcline-based design, the potential-based design, and the phase response curve-based design. The distinct approaches can provide us with different perspectives in practical design. As a part of the dynamical systems design approaches, we propose a computer-aided phase reduction approach related with device macro modeling of nonlinear oscillators. Finally, we show several case studies by our approach and potential applications in biomedical engineering.

Original languageEnglish
Title of host publication2012 IEEE Asia Pacific Conference on Circuits and Systems, APCCAS 2012
Pages308-311
Number of pages4
DOIs
Publication statusPublished - 2012 Dec 1
Event2012 IEEE Asia Pacific Conference on Circuits and Systems, APCCAS 2012 - Kaohsiung, Taiwan, Province of China
Duration: 2012 Dec 22012 Dec 5

Publication series

NameIEEE Asia-Pacific Conference on Circuits and Systems, Proceedings, APCCAS

Other

Other2012 IEEE Asia Pacific Conference on Circuits and Systems, APCCAS 2012
CountryTaiwan, Province of China
CityKaohsiung
Period12/12/212/12/5

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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