Complete Bifurcation Analysis of the Vilnius Chaotic Oscillator

Aleksandrs Ipatovs; Iheanacho Chukwuma Victor; Dmitrijs Pikulins; Sergejs Tjukovs; Anna Litvinenko

doi:10.20944/preprints202305.2137.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 30 May 2023 / Approved: 30 May 2023 / Online: 30 May 2023 (12:24:25 CEST)

The paper is dedicated to the numerical and experimental study of nonlinear oscillations exhibited by the Vilnius chaotic generator. The need for practical applicability of the mentioned generator in chaotic communication systems defined the necessity to study the operation of the circuit in a wide parameter range. The bifurcation maps and corresponding one-parameter diagrams, obtained and analysed utilising the Method of Complete Bifurcation Groups, reveal the complex nonlinear dynamics and regions of robust chaotic oscillations. Laboratory experiments allow the verification of the numerical results and identification of the most practically relevant phenomena.

Chaotic Oscillator; Bifurcations; Robust Chaos

Engineering, Electrical and Electronic Engineering

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Complete Bifurcation Analysis of the Vilnius Chaotic Oscillator

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