Analysis of the escape in systems with four exit channels

DOI10.1002/mma.8564zbMath1527.65140OpenAlexW4285011794MaRDI QIDQ6182036

Unnamed Author, Unnamed Author, Unnamed Author

Publication date: 20 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8564

zbMATH Keywords

periodic orbitsHamiltonian systemsescapegalactic potentialsfour-body ring problem

Mathematics Subject Classification ID

Qualitative investigation and simulation of ordinary differential equation models (34C60) Celestial mechanics (70F15) Stability of manifolds of solutions to ordinary differential equations (34D35) Numerical problems in dynamical systems (65P99) Computational methods for attractors of dynamical systems (37M22)

Cites Work

• Unnamed Item
• Escape regions of a quartic potential
• Universal properties of escape in dynamical systems
• Numerical integration of the \(N\)-body ring problem by recurrent power series
• Windows for escaping particles in quartic galactic potentials
• Limiting curves in an axially symmetric galaxy
• On the use of surfaces of section in the N‐body ring problem
• A New Formulation of a Hénon–Heiles Potential with Additional Singular Gravitational Terms

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