Summary

Proceedings of the 2013 International Symposium on Nonlinear Theory and its Applications

2013

Session Number:A1L-C

Session:

Number:14

SPICE Simulation of the Propagating Wave and the Switching Solutions in a Ring of Coupled Hard-Type Oscillator Systems

Kyohei Kamiyama,  Isao Imai,  Tetsuro Endo,  

pp.14-17

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.2.14

PDF download (1.2MB)

We investigated generation mechanism of various wave pattern such as the propagating wave and the switching solutions in a ring of several number of coupled hard-type oscillator systems in our previous papers. We clarified for a ring of six coupled oscillators by using bifurcation theory that birth and death of the propagating wave and the switching solutions were due to pitchfork and heteroclinic bifurcations. The propagating wave has very unique characteristic such as non-decaying propagation. The switching solution shows interesting property such as pitchfork bifurcation of the quasi-periodic solution. As a first step toward hardware implementation, we perform realistic computer simulation by using LTspice software. As a result, we have succeeded to obtain these solutions in a realistic ring of six coupled hard-type oscillator systems.

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