Applied result detail

Chaotic oscillator based on new mathematical model of dynamical system with hyperbolic equilibrium

PETRŽELA, J.; KALLER, O.; GÖTTHANS, T.

Original Title

Chaotic oscillator based on new mathematical model of dynamical system with hyperbolic equilibrium

English Title

Chaotic oscillator based on new mathematical model of dynamical system with hyperbolic equilibrium

Type

Functioning sample

Abstract

It is a fully analog circuitry realization of new deterministic dynamical system with hyperbolic equilibrium. Describing mathematical model can be expressed in the form of three first-order differential equations without driving force. Synthesized oscillator possesses several unique properties such as it generates noise-like signals in time-domain having wideband continuous frequency spectrum, dense strange attractor with basin of attraction which does not contain zero initial conditions, extreme sensitivity of the dynamical flow to the internal system parameters, etc. System was recently discovered directly by the authors of this product.

Abstract in English

It is a fully analog circuitry realization of new deterministic dynamical system with hyperbolic equilibrium. Describing mathematical model can be expressed in the form of three first-order differential equations without driving force. Synthesized oscillator possesses several unique properties such as it generates noise-like signals in time-domain having wideband continuous frequency spectrum, dense strange attractor with basin of attraction which does not contain zero initial conditions, extreme sensitivity of the dynamical flow to the internal system parameters, etc. System was recently discovered directly by the authors of this product.

Keywords

dynamical system, chaotic oscillator, hyperbolic equilibrium

Key words in English

dynamical system, chaotic oscillator, hyperbolic equilibrium

Location

kancelář SD6.77 nebo laboratoř SC6.49

Licence fee

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