Summary

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

2013

Session Number:A4L-C

Session:

Number:150

Attractor-preserving control to avoid saddle-node bifurcation

Daisuke Ito,  Tetsushi Ueta,  Shigeki Tsuji,  Kazuyuki Aihara,  

pp.150-153

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.2.150

PDF download (659.3KB)

Summary:
In nonlinear dynamical systems, periodic orbits meeting a saddle-node bifurcation may generally disappear, and they are going to be a chaotic orbit, other periodic solutions, and divergence or equilibrium points. However, right after the bifurcation, some orbits transitionally wonder around the trace of the saddle and node periodic orbits, i.e., the orbit stays long around the trace, then eventually movies to the other stable attractor. We direct our attention to this phenomenon, a controller keeping a periodic solution regardless of the saddle-node bifurcation. To realize this, the external force control technique has been applied. Some numerical simulation results are given.

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