Geometry and topology of escape. II. Homotopic lobe dynamics

DOI10.1063/1.1598312zbMath1080.37505arXivnlin/0307020OpenAlexW1988815084WikidataQ52009986 ScholiaQ52009986MaRDI QIDQ5706393

Kevin A. Mitchell, J. P. Handley, S. K. Knudson, John B. Delos

Publication date: 7 November 2005

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0307020

Mathematics Subject Classification ID

Related Items (9)

Partitioning two-dimensional mixed phase spaces ⋮ The structure of ionizing electron trajectories for hydrogen in parallel fields ⋮ Using heteroclinic orbits to quantify topological entropy in fluid flows ⋮ Tilting and Squeezing: Phase Space Geometry of Hamiltonian Saddle-Node Bifurcation and its Influence on Chemical Reaction Dynamics ⋮ Computational method for phase space transport with applications to Lobe dynamics and rate of escape ⋮ A new topological technique for characterizing homoclinic tangles ⋮ Using Invariant Manifolds to Construct Symbolic Dynamics for Three-Dimensional Volume-Preserving Maps ⋮ The topology of nested homoclinic and heteroclinic tangles ⋮ Graph duality in surface dynamics

Cites Work

• Transport rates of a class of two-dimensional maps and flows
• Transport in Hamiltonian systems
• Cantor set structures in the singularities of classical potential scattering
• INTERSECTIONS OF LOOPS IN TWO-DIMENSIONAL MANIFOLDS
• Scaling properties of a scattering system with an incomplete horseshoe
• A degenerate bifurcation to chaotic scattering in a multicentre potential
• Homoclinic tangles-classification and applications
• Hierarchical structure in the chaotic scattering off a magnetic dipole
• Geometry and topology of escape. I. Epistrophes
• The inverse scattering problem for chaotic Hamiltonian systems

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