TY - GEN
T1 - Dynamical systems design of nonlinear oscillators using phase reduction approach
AU - Nakada, Kazuki
AU - Miura, Keiji
AU - Asai, Tetsuya
AU - Tanaka, Hisa Aki
PY - 2012/12/1
Y1 - 2012/12/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84874144413&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84874144413&partnerID=8YFLogxK
U2 - 10.1109/APCCAS.2012.6419033
DO - 10.1109/APCCAS.2012.6419033
M3 - Conference contribution
AN - SCOPUS:84874144413
SN - 9781457717291
T3 - IEEE Asia-Pacific Conference on Circuits and Systems, Proceedings, APCCAS
SP - 308
EP - 311
BT - 2012 IEEE Asia Pacific Conference on Circuits and Systems, APCCAS 2012
T2 - 2012 IEEE Asia Pacific Conference on Circuits and Systems, APCCAS 2012
Y2 - 2 December 2012 through 5 December 2012
ER -