Summary
the 2014 International Symposium on Nonlinear Theory and its Applications
2014
Session Number:D2L-C
Session:
Number:D2L-C3
Pseudo periodic orbits and their stabilization
Shota Mano, Daisuke Ito, Tetsushi Ueta,
pp.775-778
Publication Date:2014/9/14
Online ISSN:2188-5079
Summary:
In a chaotic attractor, some orbits looking like unstable periodic orbit are recognized. We call them pseudo periodic orbits and they are not proper periodic orbits but, we consider that they preserve similar properties to unstable periodic orbits. In this paper, we propose the method stabilizing the pseudo periodic orbit by using the external force control. Although, the pseudo periodic orbit is an approximative unstable periodic orbit but it is found easily without any analytic approaches. We demonstrate the chaos controlling by using the pseudo periodic orbit for the Duffing equation with hysteresis characteristics.