Summary
International Symposium on Nonlinear Theory and its Applications
2005
Session Number:3-4-5
Session:
Number:3-4-5-5
Annihilation of Periodic Orbits in Time Delayed Feedback Controlled Systems
Kohei YAMASUE, Takashi HIKIHARA,
pp.162-165
Publication Date:2005/10/18
Online ISSN:2188-5079
Summary:
It is well known that the time delayed feedback control has an ability to stabilize unstable periodic orbits targeted in chaotic attractors. On the other hand, the effects of control on non-target periodic orbits have not been discussed. In this paper, harmonic balance analysis of controlled periodic systems demonstrates that non-target orbits annihilate as feedback gain is increased. The annihilation is numerically confirmed in the controlled two-well Duffing system.