Chaotic Scattering and the n-Bounce Resonance in Solitary-Wave Interactions Export

@article{citeulike:1236810, 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.}, author = {Goodman, Roy H. and Haberman, Richard}, citeulike-article-id = {1236810}, citeulike-linkout-0 = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PRLTAO000098000010104103000001&idtype=cvips&gifs=yes}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRL/v98/e104103}, citeulike-linkout-2 = {http://dx.doi.org/10.1103/PhysRevLett.98.104103}, doi = {10.1103/PhysRevLett.98.104103}, journal = {Physical Review Letters}, keywords = {chaoticscatter, waves}, number = {10}, posted-at = {2007-04-19 12:51:45}, priority = {2}, publisher = {APS}, title = {Chaotic Scattering and the n-Bounce Resonance in Solitary-Wave Interactions}, url = {http://dx.doi.org/10.1103/PhysRevLett.98.104103}, volume = {98}, year = {2007} }

TY - JOUR ID - citeulike:1236810 L3 - citeulike-article-id:1236810 N2 - 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. IS - 10 JF - Physical Review Letters TI - Chaotic Scattering and the n-Bounce Resonance in Solitary-Wave Interactions PB - APS VL - 98 KW - chaoticscatter KW - waves AU - Goodman, Roy AU - Haberman, Richard PY - 2007/// UR - http://dx.doi.org/10.1103/PhysRevLett.98.104103 ER -