Novel circuit implementation of universal and fully analog chaotic oscillator

Novel circuit implementation of universal and fully analog chaotic oscillator

Peer-reviewed article not indexed in WoS or Scopus

It has been shown that the so-called dynamical system of class C can be used for studying chaotic motions. Even though we are speaking about a deterministic dynamical systems, theirs future evolution can hardly be predicted. It is due to the extreme sensitivity on tiny changes in the initial conditions. Everything follows from the general theory of the chaotic dynamics – one must have a large number of unstable initial conditions. This also suggests that a little change in the values of variable parameters can cause a dramatic change of the state space attractor's shape. This was also the main motivations to the construction of the optimized dynamical system of class C with piecewise-linear (PWL) feedback. Based on the given system of first-order differential equations, a fully analog chaotic oscillator works in hybrid mode has been discovered for laboratory measurements. Main contribution of this work is right in circuitry implementation of a fully analog chaotic oscillator with a new available active elements. The advantage is immediately evident. The smaller number of active elements is in the whole circuit. The proper function of the final circuit structure has been verified by means of the PSpice simulator as well as by a practical experiments on the real oscillator. The corresponding results are also given.

It has been shown that the so-called dynamical system of class C can be used for studying chaotic motions. Even though we are speaking about a deterministic dynamical systems, theirs future evolution can hardly be predicted. It is due to the extreme sensitivity on tiny changes in the initial conditions. Everything follows from the general theory of the chaotic dynamics – one must have a large number of unstable initial conditions. This also suggests that a little change in the values of variable parameters can cause a dramatic change of the state space attractor's shape. This was also the main motivations to the construction of the optimized dynamical system of class C with piecewise-linear (PWL) feedback. Based on the given system of first-order differential equations, a fully analog chaotic oscillator works in hybrid mode has been discovered for laboratory measurements. Main contribution of this work is right in circuitry implementation of a fully analog chaotic oscillator with a new available active elements. The advantage is immediately evident. The smaller number of active elements is in the whole circuit. The proper function of the final circuit structure has been verified by means of the PSpice simulator as well as by a practical experiments on the real oscillator. The corresponding results are also given.

Dynamic system, deterministic, chaos, attractor, universal, fully analog oscillator, class C, differential equations, optimized systems design, integrator synthesis, functional blocks, operational amplifiers, simulation, plane projection, time behavior, laboratory sample.

Dynamic system, deterministic, chaos, attractor, universal, fully analog oscillator, class C, differential equations, optimized systems design, integrator synthesis, functional blocks, operational amplifiers, simulation, plane projection, time behavior, laboratory sample.

HRUBOŠ, Z.

2013

01.07.2012

Polsko

0033-2097

Przeglad Elektrotechniczny

2012

07a

Republic of Poland

18

22

5