Construction of exact invariants for classical dynamical systems in three dimensions

DOI10.1006/aphy.1997.5713zbMath0937.70012OpenAlexW2042776007MaRDI QIDQ1290562

K. Appert

Publication date: 25 May 2000

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aphy.1997.5713

zbMATH Keywords

invariantsPoisson bracketsfirst integralstime-dependent HamiltoniansErmakov dynamical systems

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Hamilton's equations (70H05)

Related Items (3)

Classical and quantum integrability for a class of potentials in two dimensions. ⋮ Construction of complex invariants for classical dynamical systems ⋮ Construction of exact invariants of time-dependent linear nonholonomic dynamical systems

Cites Work

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• Noether's theorem and dynamical groups in quantum mechanics
• Generalized Hamiltonian dynamics
• Rational Ermakov systems of Fuchsian type
• Chaos in gauge theories possessing vortices and monopole solutions
• Construction of the second constant of motion for two-dimensional classical systems
• Noether’s theorem, time-dependent invariants and nonlinear equations of motion
• Dynamical Noether invariants for time-dependent nonlinear systems
• Construction of new integrable Hamiltonians in two degrees of freedom
• Dynamical algebraic approach and invariants for time-dependent Hamiltonian systems in two dimensions
• On geometric phases and dynamical invariants
• Exact Quantization Conditions. II

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