Title :
Analog implementation of gotthans-petrzela oscillator with virtual equilibria
Author :
Petrzela, Jiri ; Gotthans, Tomas ; Hrubos, Zdenek
Author_Institution :
Dept. of Radio Electron., Brno Univ. of Technol., Brno, Czech Republic
Abstract :
This paper presents a novel analog oscillator reported recently by the first two authors. It came from the mathematical description of the so-called labyrinth chaos but it is much more suitable for fully analog circuitry implementation. The necessity of realization of the three independent channels performing goniometrical transfer functions is replaced by its rough approximation, namely the periodical sign functions. The brief mathematical background is completed by a number of the laboratory experiments. Finally some future perspectives, possible modifications and practical usability are discussed.
Keywords :
chaos; oscillators; Gotthans-Petrzela oscillator; analog circuitry implementation; analog oscillator; goniometrical transfer functions; labyrinth chaos; rough approximation; virtual equilibria; Bifurcation; Chaos; Mathematical model; Nonlinear dynamical systems; Oscillators; Resistors; SPICE; Brownian motion; Labyrinth chaos; analog oscillator; dynamical system;
Conference_Titel :
Radioelektronika (RADIOELEKTRONIKA), 2011 21st International Conference
Conference_Location :
Brno
Print_ISBN :
978-1-61284-325-4
DOI :
10.1109/RADIOELEK.2011.5936394