Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1896153 | Chaos, Solitons & Fractals | 2009 | 10 Pages |
Abstract
Several theorems are demonstrated that determine sufficient conditions for the existence of synchronized states (both periodical and chaotic) and also of traveling waves in a CML. The existence of period-doubling cascades for the described patterns are also established. Thus, many numerical procedures in CML are given rigorous mathematical foundations. Furthermore, numerical results in CML published to date, are much more general than previously thought.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Ma Dolores Sotelo Herrera, Jesús San Martín,