Otsu, Tomohiro Tokushima University
Kitajima, Hiroyuki Kagawa University
Ueta, Tetsushi Tokushima University Tokushima University Educator and Researcher Directory KAKEN Search Researchers
Maximum local Lyapunov exponent
stable periodic oscillation
continuous-time non-autonomous dynamical system
We previously proposed a parametric controller to avoid undesirable bifurcations of stable fixed and periodic points in discrete-time dynamical systems. The parameter regulation is derived from an optimization problem on the maximum local Lyapunov exponent and a method of steepest descent. In this paper, on the basis of the ideas and a stroboscopic mapping that transforms the trajectory of a continuous-time periodic solution into a sequence of points, we propose a technique to control the maximum local Lyapunov exponent on stable periodic oscillations in continuous-time non-autonomous dynamical systems.
International Journal of Computing, Communication and Instrumentation Engineering
International Institute of Engineers
This is an open access article distributed under the terms of the Creative Commons Attribution license, which permits unrestricted use, distribution and reproduction in any medium, provided that the original work is properly cited.
|DOI (Published Version)|
|URL ( Publisher's Version )|
ijccie_3_2_349.pdf 857 KB
Center for Administration of Information Technology