Cantor set structures in the singularities of classical potential scattering

DOI10.1088/0305-4470/20/12/015zbMath0644.58036OpenAlexW2061112165MaRDI QIDQ3787180

No author found.

Publication date: 1987

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/5e9562b5f1ef5db7a4826617de28df77d3433d89

zbMATH Keywords

chaosCantor setflowunstable periodic orbitshomoclinic and heteroclinic connectionsclassical mechanical system

Mathematics Subject Classification ID

Dynamics of a system of particles, including celestial mechanics (70F99) Applications of global analysis to the sciences (58Z05) Dynamics induced by flows and semiflows (37C10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (23)

Chaotic scattering on a double well: Periodic orbits, symbolic dynamics, and scaling ⋮ Scaling and decay in periodically driven scattering systems ⋮ Nonintegrability of the Størmer problem ⋮ Escapes in Hamiltonian systems with multiple exit channels. II ⋮ Classifying orbits in the restricted three-body problem ⋮ Fugitive stars in active galaxies ⋮ Chaotic scattering in the restricted three-body problem. I: The Copenhagen problem ⋮ Investigating the planar circular restricted three-body problem with strong gravitational field ⋮ Divergences of the semiclassical \(S\)-matrix formula in irregular scattering ⋮ Chaotic scattering modelled by an inclined billiard ⋮ Irregular scattering ⋮ Elucidating the escape dynamics of the four Hill potential ⋮ An overview of the escape dynamics in the Hénon-Heiles Hamiltonian system ⋮ A new topological technique for characterizing homoclinic tangles ⋮ Stochastic versus semiclassical approach to quantum chaotic scattering ⋮ Geometry and topology of escape. I. Epistrophes ⋮ Geometry and topology of escape. II. Homotopic lobe dynamics ⋮ Orbit classification in the Hill problem. I: The classical case ⋮ The inverse scattering problem for chaotic Hamiltonian systems ⋮ Escape dynamics and fractal basin boundaries in Seyfert galaxies ⋮ Bifurcation to chaotic scattering ⋮ A simple model for chaotic scattering. I: Classical theory ⋮ Random-matrix description of chaotic scattering: Semiclassical approach

This page was built for publication: Cantor set structures in the singularities of classical potential scattering