A mapping for the study of the 1/1 resonance in a galactic type Hamiltonian

DOI10.1007/BF00052975zbMath0684.70020MaRDI QIDQ1825700

N. D. Caranicolas

Publication date: 1990

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

zbMATH Keywords

numerical integrationquartic Hamiltonianmotion of a charged particlealgebraic mappingautonomous, two-dimensional galactic type Hamiltonianaxially symmetric magnetic bottlestability of the periodic orbits

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Bifurcations and instability for nonlinear problems in mechanics (70K50) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Hamilton's equations (70H05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Celestial mechanics (70F15) Motion of charged particles (78A35)

Related Items (6)

The structure of motion in a 4-component galaxy mass ⋮ Existence and stability of periodic orbits for a Hamiltonian system with homogeneous potential of degree five ⋮ Chaos in elliptical galaxy models ⋮ Dynamics of mechanical systems with polynomial potentials ⋮ The Lissajous transformation. II: Normalization ⋮ On the dynamics of mechanical systems with the homogeneous polynomial potential \(V = ax ^{4} + cx ^{2} y ^{2}\)

Cites Work

• A hyperbolic twist mapping model for the study of asteroid orbits near the 3:1 resonance
• Regular and stochastic motion

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