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