ID 112040
Author
Otsu, Tomohiro Tokushima University
Kitajima, Hiroyuki Kagawa University
Keywords
Maximum local Lyapunov exponent
parametric control
stroboscopic mapping
stable periodic oscillation
continuous-time non-autonomous dynamical system
Content Type
Journal Article
Description
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.
Journal Title
International Journal of Computing, Communication and Instrumentation Engineering
ISSN
23491469
23491477
Publisher
International Institute of Engineers
Volume
3
Issue
2
Start Page
349
End Page
353
Published Date
2016
Rights
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.
EDB ID
314277
DOI (Published Version)
URL ( Publisher's Version )
FullText File
language
eng
TextVersion
Publisher
departments
Medical Sciences
Center for Administration of Information Technology