Abrupt Bifurcations in Chaotic Scattering: view from the anti-integrable limit
报告题目： Abrupt Bifurcations in Chaotic Scattering: view from the anti-integrable limit
报告人：陈怡全教授（台湾中央研究院数学研究所）
报告时间：2013年6月17日（星期一）下午4：15
报告地点：数学楼二楼学术报告厅
Abstract: Bleher, Ott and Grebogi found numerically an interesting chaotic phenomenon in 1989 for the scattering of a particle in a plane from a potential field with several peaks of equal height. They claimed that when the energy E of the particle is slightly less than the peak height E_c there is a hyperbolic suspension of a topological Markov chain from which chaotic scattering occurs, whereas for E> E_c there are no bounded orbits. They called the bifurcation at E=E_c an abrupt bifurcation to chaotic scattering. The aim of this presentation is to present a rigorous mathematical explanation for how chaotic orbits occur via the bifurcation, from the viewpoint of the anti-integrable limit.
Abstract: Bleher, Ott and Grebogi found numerically an interesting chaotic phenomenon in 1989 for the scattering of a particle in a plane from a potential field with several peaks of equal height. They claimed that when the energy E of the particle is slightly less than the peak height E_c there is a hyperbolic suspension of a topological Markov chain from which chaotic scattering occurs, whereas for E> E_c there are no bounded orbits. They called the bifurcation at E=E_c an abrupt bifurcation to chaotic scattering. The aim of this presentation is to present a rigorous mathematical explanation for how chaotic orbits occur via the bifurcation, from the viewpoint of the anti-integrable limit.