Symmetry group classification of three-dimensional Hamiltonian systems

DOI10.1016/S0893-9659(99)00166-4zbMath0982.70013OpenAlexW2084983172MaRDI QIDQ1975285

Pantelis A. Damianou, Christodoulos Sophocleous

Publication date: 8 April 2002

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

Full work available at URL: https://doi.org/10.1016/s0893-9659(99)00166-4

zbMATH Keywords

Lie point symmetriesautonomous Hamiltonian systemsymmetry group classificationthree-dimensional Hamiltonian system

Mathematics Subject Classification ID

Dynamical systems in classical and celestial mechanics (37N05) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

Related Items (5)

Partial Noether Operators and First Integrals for a System with two Degrees of Freedom ⋮ Group classification of charged particle motion in stationary electromagnetic fields ⋮ Differential invariants of a class of Lagrangian systems with two degrees of freedom ⋮ Symmetries of the Maxwell-Bloch equations with the rotating wave approximation ⋮ Symmetries of some classes of dynamical systems

Cites Work

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• Similarity methods for differential equations
• Symmetries of differential equations. IV
• Lie point symmetries for systems of second order linear ordinary differential equations
• Symmetries of the time-dependent N-dimensional oscillator
• A further note on the Hénon–Heiles problem
• GENERALIZED ERMAKOV SYSTEMS IN TERMS OFsl(2,R) INVARIANTS
• Symmetry-based algorithms to relate partial differential equations: I. Local symmetries

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