Escape regions of a quartic potential

DOI10.1007/BF00050676zbMath0711.70027OpenAlexW2065122908MaRDI QIDQ922753

B. Barbanis

Publication date: 1990

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00050676

zbMATH Keywords

families of periodic orbitsirregular periodic orbitsunstable Lyapunov periodic orbits

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Computational methods for problems pertaining to mechanics of particles and systems (70-08)

Related Items (8)

Fractal properties of escape from a two-dimensional potential ⋮ Periodic orbits of perturbed non-axially symmetric potentials in \(1:1:1\) and \(1:1:2\) resonances ⋮ Symmetric periodic solutions of symmetric Hamiltonians in 1 : 1 resonance ⋮ Analysis of the escape in systems with four exit channels ⋮ Dynamical analysis of bounded and unbounded orbits in a generalized Hénon-Heiles system ⋮ Windows for escaping particles in quartic galactic potentials ⋮ CONNECTING SYMMETRIC AND ASYMMETRIC FAMILIES OF PERIODIC ORBITS IN SQUARED SYMMETRIC HAMILTONIANS ⋮ Analysis of the distribution of times of escape in the \(N\)-body ring problem

Cites Work

• Isolated unstable periodic orbits
• On the bifurcations of a certain family of periodic orbits
• Discrete symmetric dynamical systems at the main resonances with application to axi-symmetric galaxies
• Bifurcations of triple-periodic orbits

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