About: Optimal piecewise-linear approximation of the quadratic chaotic dynamics

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	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. 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. (en)
Title	Optimal piecewise-linear approximation of the quadratic chaotic dynamics Optimal piecewise-linear approximation of the quadratic chaotic dynamics (en)
skos:prefLabel	Optimal piecewise-linear approximation of the quadratic chaotic dynamics Optimal piecewise-linear approximation of the quadratic chaotic dynamics (en)
skos:notation	RIV/00216305:26220/12:PU98368!RIV13-MSM-26220___
http://linked.open...avai/riv/aktivita	P S
http://linked.open...avai/riv/aktivity	P(ED2.1.00/03.0072), P(EE2.3.20.0007), P(OC09016), S
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Petržela, Jiří
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Vysoké učení technické v Brně / Fakulta elektrotechniky a komunikačních technologií
http://linked.open...dnocenehoVysledku	156799
http://linked.open...ai/riv/idVysledku	RIV/00216305:26220/12:PU98368
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Chaotic dynamics, Lyapunov exponents, piecewise-linear approximation, stochastic optimization (en)
http://linked.open.../riv/klicoveSlovo	piecewise-linear approximation Lyapunov exponents stochastic optimization Chaotic dynamics
http://linked.open...odStatuVydavatele	CZ - Česká republika
http://linked.open...ontrolniKodProRIV	[6A0F1163DFBA]
http://linked.open...i/riv/nazevZdroje	Radioengineering
http://linked.open...in/vavai/riv/obor	JA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...vavai/riv/projekt	Wireless communication teams Centre of sensor, information and communication systems Components of advanced radio-communication systems (CARS)
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	21
http://linked.open...iv/tvurceVysledku	Petržela, Jiří
issn	1210-2512
number of pages	9 (xsd:int)
http://localhost/t...ganizacniJednotka	26220

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