Chaotic scattering and the n-bounce resonance in solitary-wave interactions

Document Type

Article

Publication Date

3-9-2007

Abstract

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 ordinary differential equations (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. © 2007 The American Physical Society.

Identifier

33947134958 (Scopus)

Publication Title

Physical Review Letters

External Full Text Location

https://doi.org/10.1103/PhysRevLett.98.104103

e-ISSN

10797114

ISSN

00319007

Issue

10

Volume

98

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