Multistability and its dependence on the attractor volume

Year: 2023

Authors: Mehrabbeik M., Jafari S., Ginoux JM., Meucci R.

Autors Affiliation: Amirkabir Univ Technol, Dept Biomed Engn, Tehran Polytech, Tehran, Iran; Amirkabir Univ Technol, Tehran Polytech, Hlth Technol Res Inst, Tehran, Iran; Univ Toulon & Var, Lab CPT, CS 60584, F-83041 Toulon 9, France; CNR, Ist Nazl Ott, Largo E Fermi 6, I-50125 Florence, Italy.

Abstract: Multistability is an important concept that refers to the coexistence of multiple solutions. Although significant studies reported the emergence of multistability, a few studies have been devoted to investigating its features. This paper is dedicated to addressing the volume dependence of multistability as its extensive feature using theoretical and numerical aspects. The results of the forward and backward dynamical analysis of the modulated laser system and the Duffing oscillator show that multistability takes place when the attractor volume becomes large enough to meet other solutions. On the other hand, when the attractor volume is small, the system solution has no chance to visit other attractors, and multistability cannot occur. Furthermore, our results suggest that the dissipation diagram, which is normalized to the attractor volume, can detect the multistability regions since it simultaneously includes information about the dissipation and attractor volumes.(c) 2023 Elsevier B.V. All rights reserved.

Journal/Review: PHYSICS LETTERS A

Volume: 485      Pages from: 129088-1  to: 129088-7

KeyWords: Multistability; Attractor volume; Dissipation; Dynamical analysis
DOI: 10.1016/j.physleta.2023.129088

Citations: 1
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