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

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dc.creatorGoodman, Roy H.
dc.creatorHaberman, Richard
dc.date2007-02-25
dc.date.accessioned2026-07-07T07:48:52Z
dc.date.available2026-07-07T07:48:52Z
dc.descriptionWe 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.
dc.description5 pages, 3 figures. Low quality images, see http://m.njit.edu/goodman for high quality images, accepted for publicaiton in Phys. Rev. Lett
dc.identifierhttps://arxiv.org/abs/nlin/0702048
dc.identifierhttp://arxiv.org/abs/nlin/0702048
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124650
dc.subjectPattern Formation and Solitons
dc.subjectChaotic Dynamics
dc.titleChaotic Scattering and the $n$-bounce Resonance in Solitary Wave Interactions
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