Summary

2011 International Symposium on Nonlinear Theory and Its Applications

2011

Session Number:C1L-D

Session:

Number:C1L-D3

Stable periodic orbits induced by an extremely-weak diffusive connection in a pair of coupled chaotic oscillators

Kazunori Mizobata,  Keiji Konishi,  Naoyuki Hara,  

pp.623-626

Publication Date:2011/9/4

Online ISSN:2188-5079

DOI:10.34385/proc.45.C1L-D3

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Summary:
This paper investigates an interesting phenomenon in a pair of coupled chaotic oscillators. Each individual oscillator behaves chaotically and has an unstable periodic orbit that dominates the chaotic attractor. We experimentally observe that the stable periodic orbit, which is quite close to the unstable periodic orbit, can be induced by an extremely-weak diffusive connection in the Shinriki-Mori circuits. This phenomenon is examined by the bifurcation analysis.