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Blyuss, Konstantin (2002) Chaotic behaviour of solutions to a perturbed Korteweg-de Vries equation. Reports on Mathematical Physics, 49 (1). pp. 29-38. ISSN 0034-4877
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Official URL: http://dx.doi.org/10.1016/S0034-4877(02)80003-9
Abstract
Stationary wave solutions of the perturbed Korteweg-de Vries equation are considered in the presence of external hamiltonian perturbations. Conditions of their chaotic behaviour are studied with the help of the Melnikov theory. For the homoclinic chaos the Poincare sections are constructed to demonstrate the complicated behaviour, and the Lyapunov exponents are also numerically calculated.
Item Type: | Article |
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Schools and Departments: | School of Mathematical and Physical Sciences > Mathematics |
Depositing User: | Konstantin Blyuss |
Date Deposited: | 06 Feb 2012 18:26 |
Last Modified: | 09 Jul 2012 10:47 |
URI: | http://sro.sussex.ac.uk/id/eprint/16289 |