Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevE.80.046214
Title: Dynamical formation of stable irregular transients in discontinuous map systems
Authors: Zou, H.
Guan, S. 
Lai, C.-H. 
Issue Date: 23-Oct-2009
Citation: Zou, H., Guan, S., Lai, C.-H. (2009-10-23). Dynamical formation of stable irregular transients in discontinuous map systems. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 80 (4) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevE.80.046214
Abstract: Stable chaos refers to the long irregular transients, with a negative largest Lyapunov exponent, which is usually observed in certain high-dimensional dynamical systems. The mechanism underlying this phenomenon has not been well studied so far. In this paper, we investigate the dynamical formation of stable irregular transients in coupled discontinuous map systems. Interestingly, it is found that the transient dynamics has a hidden pattern in the phase space: it repeatedly approaches a basin boundary and then jumps from the boundary to a remote region in the phase space. This pattern can be clearly visualized by measuring the distance sequences between the trajectory and the basin boundary. The dynamical formation of stable chaos originates from the intersection points of the discontinuous boundaries and their images. We carry out numerical experiments to verify this mechanism. © 2009 The American Physical Society.
Source Title: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/115683
ISSN: 15393755
DOI: 10.1103/PhysRevE.80.046214
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

SCOPUSTM   
Citations

5
checked on Oct 14, 2019

WEB OF SCIENCETM
Citations

6
checked on Oct 14, 2019

Page view(s)

50
checked on Oct 11, 2019

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.