https://doi.org/10.1140/epjp/s13360-023-04577-y
Regular Article
Archive of novel hidden attractor with multistability and multidirectional chaotic attractors of Moore–Spiegel oscillator
1
Department of Applied Mathematics and Statistics, Institute of Space Technology, 44000, Islamabad, Pakistan
2
Department of Mathematics, COMSATS University, 44000, Islamabad, Pakistan
Received:
21
July
2023
Accepted:
9
October
2023
Published online:
23
October
2023
Recently, the reveal of novel hidden attractor and multistability in a chaotic system got much attention due to increasing use of complex chaotic systems in engineering problems. In this article, for some ranges of parameter, different types of coexisting chaotic attractors of Moore–Spiegel Oscillator (MSO) are explored. Firstly, MSO is introduced with chaotic parameter and then, some interesting dynamical properties such as bifurcation, Poincare section, Lyapunov spectrum are presented to explore the chaotic region. Multistability constitutes the parametric constrain region and reveals the hidden attractor of MSO. The systematic mechanism of multilevel logic pulse control signal in MSO effectively creates a family of multidirectional symmetric multi-scroll chaotic attractor (SMCA) in 1D, 2D and 3D. Furthermore, phase portraits and equilibrium point distribution constitute chaotic dynamical analysis of symmetric multi-scroll chaotic system. The efficacy of the presented scheme is investigated by means of theoretical analysis as well as numerical simulations.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
