Study of Nonlinear Dynamics of Vilnius Oscillator

Nonlinear Dynamics and Applications: Proceedings of the ICNDA 2022 2022
Dmitrijs Pikuļins, Sergejs Tjukovs, Chukwuma Victor Iheanacho, Aleksandrs Ipatovs

Most chaotic dynamical systems exhibit non-robust chaos when small changes of system parameters lead to abrupt jumps from chaotic to periodic motions. These unstable regimes could not be successfully utilized in practice. The detailed systematic analysis of nonlinear dynamics becomes paramount for practical applications to identify regions of robust chaos and related transitions. This paper presents an in-depth analysis of the nonlinear dynamics of a Vilnius oscillator, providing a detailed numerical study of the operational regions of Vilnius oscillator's, constructing bifurcation map and brute-force bifurcation diagrams.

Keywords
Chaotic Oscillator, Bifurcations, Robust Chaos
DOI
10.1007/978-3-030-99792-2_103
Hyperlink
https://link.springer.com/chapter/10.1007/978-3-030-99792-2_103

Pikuļins, D., Tjukovs, S., Iheanacho, C., Ipatovs, A. Study of Nonlinear Dynamics of Vilnius Oscillator. In: Nonlinear Dynamics and Applications: Proceedings of the ICNDA 2022, India, Majitar, 9-11 March, 2022. Switzerland: Springer Cham, 2022, pp.1219-1228. ISBN 978-3-030-99791-5. e-ISBN 978-3-030-99792-2. ISSN 2213-8684. e-ISSN 2213-8692. Available from: doi:10.1007/978-3-030-99792-2_103

Publication language
English (en)