Publication result detail

On the piecewise-linear approximation of the polynomial chaotic dynamics

PETRŽELA, J.

Original Title

On the piecewise-linear approximation of the polynomial chaotic dynamics

English Title

On the piecewise-linear approximation of the polynomial chaotic dynamics

Type

Paper in proceedings (conference paper)

Original Abstract

This paper briefly shows the influence of handmade picewise-linear approximation on the global dynamics on the selected third-order systems with the quadratic vector fields. These effects are demonstrated using concept of the Ljapunov exponents calculation. The approximated systems are verified by means of the real electronic circuits derived using integrator synthesis and time-domain analysis in Orcad Pspice simulator. The universality of the proposed method is discussed and future perspectives are provided.

English abstract

This paper briefly shows the influence of handmade picewise-linear approximation on the global dynamics on the selected third-order systems with the quadratic vector fields. These effects are demonstrated using concept of the Ljapunov exponents calculation. The approximated systems are verified by means of the real electronic circuits derived using integrator synthesis and time-domain analysis in Orcad Pspice simulator. The universality of the proposed method is discussed and future perspectives are provided.

Keywords

Dynamical system, Ljapunov exponents, piecewise-linear approximation, chaotic dynamics

Key words in English

Dynamical system, Ljapunov exponents, piecewise-linear approximation, chaotic dynamics

Authors

PETRŽELA, J.

RIV year

2012

Released

18.08.2011

ISBN

978-1-4577-1409-2

Book

Telecommunication and signal processing TSP 2011

Pages from

319

Pages to

323

Pages count

5

BibTex

@inproceedings{BUT74533,
  author="Jiří {Petržela}",
  title="On the piecewise-linear approximation of the polynomial chaotic dynamics",
  booktitle="Telecommunication and signal processing TSP 2011",
  year="2011",
  pages="319--323",
  isbn="978-1-4577-1409-2"
}