Optimal Piecewise-Linear Approximation of the Quadratic Chaotic Dynamics
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Date
2012-04
Authors
Petrzela, Jiri
ORCID
Advisor
Referee
Mark
Journal Title
Journal ISSN
Volume Title
Publisher
Společnost pro radioelektronické inženýrství
Abstract
This paper shows the influence of piecewise-linear approximation on the global dynamics associated with autonomous third-order dynamical systems with the quadratic vector fields. The novel method for optimal nonlinear function approximation preserving the system behavior is proposed and experimentally verified. This approach is based on the calculation of the state attractor metric dimension inside a stochastic optimization routine. The approximated systems are compared to the original by means of the numerical integration. Real electronic circuits representing individual dynamical systems are derived using classical as well as integrator-based synthesis and verified by time-domain analysis in Orcad Pspice simulator. The universality of the proposed method is briefly discussed, especially from the viewpoint of the higher-order dynamical systems. Future topics and perspectives are also provided
Description
Citation
Radioengineering. 2012, vol. 21, č. 1, s. 20-28. ISSN 1210-2512
http://www.radioeng.cz/fulltexts/2012/12_01_0020_0028.pdf
http://www.radioeng.cz/fulltexts/2012/12_01_0020_0028.pdf
Document type
Peer-reviewed
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Published version
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Language of document
en