Summary

Proceedings of the 2012 International Symposium on Nonlinear Theory and its Applications

2012

Session Number:D2L-A

Session:

Number:832

Almost Super Stable Periodic Orbit in an Electric Impact Oscillator

Hiroyuki Asahara,  Jun Hosokawa,  Kazuyuki Aihara,  Soumitro Banerjee,  Takuji Kousaka,  

pp.832-835

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.1.832

PDF download (840.8KB)

In this study, we discuss appearance of an almost super stable periodic orbit (ASSPO) in an electric impact oscillator. First, we show the circuit model and then we explain its dynamics. Next, we derive the Poincaré map and the bifurcation diagram. Finally, we mathematically show appearance of ASSPO through the stability analysis. We believe that appearance of ASSPO is an interesting phenomenon itself because it is a new phenomenon and may also be observed in the other impact oscillators.

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