Publication detail

Analysis and implementation of dynamical system with periodical discrete jumps

GÖTTHANS, T. PETRŽELA, J.

Original Title

Analysis and implementation of dynamical system with periodical discrete jumps

English Title

Analysis and implementation of dynamical system with periodical discrete jumps

Type

journal article - other

Language

en

Original Abstract

The novel method for dynamical motion quantification is discussed in this paper. The proposed approach is verified on the cyclically symmetrical vector field with jump functions generating the large state space attractors recently discovered by the authors. The core part of the calculation engine involves continuous Fourier transform and Cartesian to spherical conversion. It turns out that the existing methods give the incorrect results, have huge demands on the computer performance or completely fail to converge in the finite time. The fully analog as well as hybrid circuitry implementation using off-the-shelf components is also presented and validated by means of the network simulator Orcad Pspice.

English abstract

The novel method for dynamical motion quantification is discussed in this paper. The proposed approach is verified on the cyclically symmetrical vector field with jump functions generating the large state space attractors recently discovered by the authors. The core part of the calculation engine involves continuous Fourier transform and Cartesian to spherical conversion. It turns out that the existing methods give the incorrect results, have huge demands on the computer performance or completely fail to converge in the finite time. The fully analog as well as hybrid circuitry implementation using off-the-shelf components is also presented and validated by means of the network simulator Orcad Pspice.

Keywords

Analog oscillator, dynamical system, motion quantification, chaos, state attractor, Lyapunov exponents

RIV year

2012

Released

06.11.2012

Location

Polsko

Pages from

161

Pages to

167

Pages count

8

BibTex


@article{BUT94952,
  author="Tomáš {Götthans} and Jiří {Petržela}",
  title="Analysis and implementation of dynamical system with periodical discrete jumps",
  annote="The novel method for dynamical motion quantification is discussed in this paper. The proposed approach is verified on the cyclically symmetrical vector field with jump functions generating the large state space attractors recently discovered by the authors. The core part of the calculation engine involves continuous Fourier transform and Cartesian to spherical conversion. It turns out that the existing methods give the incorrect results, have huge demands on the computer performance or completely fail to converge in the finite time. The fully analog as well as hybrid circuitry implementation using off-the-shelf components is also presented and validated by means of the network simulator Orcad Pspice.",
  chapter="94952",
  number="4",
  volume="2012",
  year="2012",
  month="november",
  pages="161--167",
  type="journal article - other"
}