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 analysisDOI: 10.1016/j.physleta.2023.129088Citations: 2data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-12-08References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here