Chaotic Scattering and the $n$-bounce Resonance in Solitary Wave Interactions

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We present a new and complete analysis of the n-bounce resonance and chaotic scattering in solitary wave collisions. In these phenomena, the speed at which a wave exits a collision depends in a complicated fractal way on its input speed. We present a new asymptotic analysis of collective-coordinate ODEs, reduced models that reproduce the dynamics of these systems. We reduce the ODEs to discrete-time iterated separatrix maps and obtain new quantitative results unraveling the fractal structure of the scattering behavior. These phenomena have been observed repeatedly in many solitary-wave systems over 25 years.
5 pages, 3 figures. Low quality images, see http://m.njit.edu/goodman for high quality images, accepted for publicaiton in Phys. Rev. Lett

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Pattern Formation and Solitons, Chaotic Dynamics

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http://salesiana.dossiersoluciones.com/handle/123456789/124650

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0702048
 http://arxiv.org/abs/nlin/0702048

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arXiv