Abstract

Introduction. General scientific fields where can be used non-autonomous circuits that realize chaotic behavior and generate chaotic oscillations are presented. Main characteristic about non-autonomous chaotic circuits is described. For modelling, analysis and demonstrate results was selected MultiSim software environment. Modelling of Non-Linear Element. The simplest chaotic non-autonomous second-order circuit which belongs to the single-loop RL-diode series circuit, system of equations has described RLC circuit and theoretical nonlinear characteristic and circuit for realization of nonlinear characteristic, nominal components, parameters are presented. This non-linear element has designed to have a piecewise-linear characteristic and built only in one opamp. For realization of nonlinearity use only one bipolar power source for the opamp is enough. Results of computer modelling and simulation using MultiSim, i.e. the volt-ampere characteristic (VAC) at certain values of the components of the scheme's nominal values, is presented. Modelling and Analysis of the New Non-Autonomous Chaotic Circuit. System’s behaviour is investigated through numerical simulations, by using well-known tools of nonlinear theory, such as chaotic attractor and time distributions of the chaotic coordinates. This designed non-autonomous circuit, which generate a chaotic attractor, can be used in modern transmission and reception systems of information. Conclusions. For the first time was designed a new non-autonomous circuit that generate chaotic oscillations. The circuit, system of equations that describe circuit and nominal of components are presented. This circuit that generate chaotic oscillations can be used as one of the main part of modern telecommunication systems for masking and decrypt of information carrier.

Highlights

  • General scientific fields where can be used non-autonomous circuits that realize chaotic behavior and generate chaotic oscillations are presented

  • Chaos is a very interesting complex nonlinear phenomenon which has been intensively studied in the different areas of science, mathematics and engineering communities

  • Chaotic signals can be generated with simple electronic circuits

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Summary

Introduction

General scientific fields where can be used non-autonomous circuits that realize chaotic behavior and generate chaotic oscillations are presented. The simplest chaotic non-autonomous second-order circuit which belongs to the single-loop RL-diode series circuit, system of equations has described RLC circuit and theoretical nonlinear characteristic and circuit for realization of nonlinear characteristic, nominal components, parameters are presented. This non-linear element has designed to have a piecewise-linear characteristic and built only in one opamp. System’s behaviour is investigated through numerical simulations, by using well-known tools of nonlinear theory, such as chaotic attractor and time distributions of the chaotic coordinates This designed non-autonomous circuit, which generate a chaotic attractor, can be used in modern transmission and reception systems of information. This circuit that generate chaotic oscillations can be used as one of the main part of modern telecommunication systems for masking and decrypt of information carrier

Modelling of Non-Linear
Modelling and Analysis of the New Non-Autonomous Chaotic Circuit
Conclusions

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