Please use this identifier to cite or link to this item:
|Title:||Dynamical formation of stable irregular transients in discontinuous map systems||Authors:||Zou, 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.
checked on Oct 21, 2021
WEB OF SCIENCETM
checked on Sep 29, 2021
checked on Oct 14, 2021
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.