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The fluctuational transition mechanism of non-hyperbolic chaotic invariant sets.

Authors :
Mao, Yicheng
Liu, Xianbin
Source :
Stochastics & Dynamics. Mar2024, Vol. 24 Issue 2, p1-22. 22p.
Publication Year :
2024

Abstract

In order to reveal the general escape mechanism of non-hyperbolic chaotic invariant sets under both weak noise limit and finite noise intensity, the simplest example of Hénon map, which represents the stretching and folding of the phase space, is taken to study the escape mechanism under two kinds of global bifurcation: the fractal boundary crisis and the attractor contact crisis. In this paper, we revealed the general exit mechanism by analyzing the escape paths derived from the shooting method and Monte Carlo simulation. Finally, to further demonstrate universality, an example of high-dimensional differential dynamical system, namely the transient chaos Duffing oscillator, is examined, which underscores the main idea of this paper analyzing specific deterministic structures not only enhances the comprehensibility of the escape process, but also allows for predictions of general escape behavior under weak noise intensity. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
02194937
Volume :
24
Issue :
2
Database :
Academic Search Index
Journal :
Stochastics & Dynamics
Publication Type :
Academic Journal
Accession number :
178117056
Full Text :
https://doi.org/10.1142/S0219493724500163