Detail publikačního výsledku

Optimal piecewise-linear approximation of the quadratic chaotic dynamics

PETRŽELA, J.

Originální název

Optimal piecewise-linear approximation of the quadratic chaotic dynamics

Anglický název

Optimal piecewise-linear approximation of the quadratic chaotic dynamics

Druh

Článek recenzovaný mimo WoS a Scopus

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

Chaotic dynamics, Lyapunov exponents, piecewise-linear approximation, stochastic optimization

Klíčová slova v angličtině

Chaotic dynamics, Lyapunov exponents, piecewise-linear approximation, stochastic optimization

Autoři

PETRŽELA, J.

Rok RIV

2013

Vydáno

02.04.2012

ISSN

1210-2512

Periodikum

Radioengineering

Svazek

21

Číslo

1

Stát

Česká republika

Strany od

20

Strany do

28

Strany počet

9

BibTex

@article{BUT91822,
  author="Jiří {Petržela}",
  title="Optimal piecewise-linear approximation of the quadratic chaotic dynamics",
  journal="Radioengineering",
  year="2012",
  volume="21",
  number="1",
  pages="20--28",
  issn="1210-2512"
}