Publication detail

Modeling of the strange behavior in the selected nonlinear dynamical systems, part I: oscillators

PETRŽELA, J.

Original Title

Modeling of the strange behavior in the selected nonlinear dynamical systems, part I: oscillators

Type

habilitation thesis principal points

Language

English

Original Abstract

This part of the monograph is focused on the design methodology how to create an oscilator suitable for the modeling of the nonlinear dynamics. Upcoming chapters provide a general overview on the ideas behind the integrator based synthesis as well as classical circuit synthesis. Several examples of the autonomous deterministic dynamical systems with possible chaotic behavior implemented as an electronic circuits (chaotic oscillators) are also given. Each configuration is experimentally verified by a gallery of the oscilloscope screenshots as well as by a comparison of these pictures with numerical integration using Mathcad and build-in fourth-order Runge-Kutta method. It is worth nothing that Pspice circuit simulator give us the same results.

Keywords

Autonomous oscillator, bifurcation diagram, circuit synthesis, dynamical system, fractal dimension, frequency spectrum, chaos, Lyapunov exponents, multi-spiral attractor, practical measurement, state space, strange attractor, vector field.

Authors

PETRŽELA, J.

Released

10. 11. 2008

Publisher

FEKT VUT

Location

Brno

ISBN

978-80-214-3787-6

Edition

VUTIUM

Edition number

1

Pages from

1

Pages to

30

Pages count

30

BibTex

@misc{BUT61860,
  author="Jiří {Petržela}",
  title="Modeling of the strange behavior in the selected nonlinear dynamical systems, part I: oscillators",
  year="2008",
  series="VUTIUM",
  edition="1",
  pages="1--30",
  publisher="FEKT VUT",
  address="Brno",
  isbn="978-80-214-3787-6",
  note="habilitation thesis principal points"
}