Detail publikace

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

PETRŽELA, J.

Originální název

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

Typ

teze habilitační práce

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

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.

Autoři

PETRŽELA, J.

Vydáno

10. 11. 2008

Nakladatel

FEKT VUT

Místo

Brno

ISBN

978-80-214-3787-6

Edice

VUTIUM

Číslo edice

1

Strany od

1

Strany do

30

Strany počet

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"
}