Topology and mechanics with computer graphics. Linear Hamiltonian systems in four dimensions

DOI10.1016/0196-8858(86)90037-0zbMath0617.58021OpenAlexW2019975190MaRDI QIDQ1822111

David Laidlaw, Frederic Bisshopp, Thomas F. Banchoff, Hueseyin Kocak

Publication date: 1986

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0196-8858(86)90037-0

zbMATH Keywords

stabilityergodicitycomputer graphicslinear Hamiltonian systems in four dimensions

Mathematics Subject Classification ID

Computing methodologies and applications (68U99) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Software, source code, etc. for problems pertaining to mechanics of particles and systems (70-04)

Related Items (2)

Computer graphics and the geometry of \(S^ 3\) ⋮ Finding NHIM: identifying high dimensional phase space structures in reaction dynamics using Lagrangian descriptors

Cites Work

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• Reduction of the semisimple \(1:1\) resonance
• On averaging, reduction, and symmetry in Hamiltonian systems
• Normal forms and versal deformations of linear Hamiltonian systems
• Topology and mechanics. II: The planar \(n\)-body problem
• Examples of Nonintegrable Analytic Hamiltonian Vector Fields with no Small Divisors
• Linear Hamiltonian systems are integrable with quadratics

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