| Issue |
Europhys. Lett.
Volume 54, Number 3, May 2001
|
|
|---|---|---|
| Page(s) | 300 - 305 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2001-00241-3 | |
| Published online | 01 December 2003 | |
Example of robust chaos in a smooth map
Department of Physics, University of Lethbridge -
4401 University Drive
Lethbridge, AB, T1K 3M4, Canada
Corresponding authors: mircea.andrecut@uleth.ca ali@uleth.ca
Received:
9
November
2000
Accepted:
22
February
2001
Robust chaos is defined by the absence of periodic windows and coexisting
attractors in some neighborhood of the parameter space. The occurrence of robust
chaos has been discussed in Phys. Rev. Lett., 78 (1997) 4561 and Phys.
Rev. Lett., 80 (1998) 3049. It has been shown that robust chaos can occur
in piecewise smooth systems. Also, it has been conjectured that robust chaos
cannot occur in smooth systems. However, here we give a counterexample to this
conjecture. We present a one-dimensional smooth map 
that generates robust chaos in a large domain of the parameter space 
.
PACS: 05.45.-a – Nonlinear dynamics and nonlinear dynamical systems
© EDP Sciences, 2001
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.