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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
Released
10. 11. 2008
Publisher
FEKT VUT
Location
Brno
ISBN
978-80-214-3787-6
Edition
VUTIUM
Edition number
1
Pages from
Pages to
30
Pages count
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" }