Extreme events and multistability in nonhyperbolic chaotic system.

Autor: Vijay, S. Dinesh, Thamilmaran, K., Ahamed, A. Ishaq
Zdroj: Nonlinear Dynamics; Jan2024, Vol. 112 Issue 2, p1431-1438, 8p
Abstrakt: In this paper, we explore extreme events in a current-controlled memristor-based second-order nonautonomous nonlinear dynamical system. This system is a nonhyperbolic system and is found to possess a pair of symmetrical center equilibrium points. It exhibits nonhyperbolic chaos, abnormally large-amplitude oscillations, leading to extreme events and multistability for different parametric regimes. These were studied numerically by drawing the two-parameter phase diagram and constructing the basins of attraction for a large range of initial conditions. We believe that it is for the first time that extreme events have been reported in a two-dimensional nonautonomous nonhyberbolic system. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index