On the construction of Hamiltonians

DOI10.1063/1.528129zbMath0659.70014OpenAlexW2011495748MaRDI QIDQ3809332

C. Lucey, Ezra T. Newman

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1063/1.528129

zbMATH Keywords

canonical equationsfirst-order ordinary differential equationslocally defined nondegenerate symplectic structure

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (10)

Generalized conformal Hamiltonian dynamics and the pattern formation equations ⋮ The Hamiltonization problem from a global viewpoint ⋮ On the generalized Hamiltonian structure of 3D dynamical systems ⋮ A constant of motion in 3D implies a local generalized Hamiltonian structure. ⋮ SYMPLECTIC STRUCTURES AND HAMILTONIAN FUNCTIONS CORRESPONDING TO A SYSTEM OF ODES ⋮ Hamiltonian formulation for mechanical systems with nonholonomic constraints ⋮ New solutions of the Jacobi equations for three-dimensional Poisson structures ⋮ Characterization and global analysis of a family of Poisson structures ⋮ One solution of the 3D Jacobi identities allows determining an infinity of them ⋮ Hamiltonian structure and Darboux theorem for families of generalized Lotka–Volterra systems

Cites Work

• Chaos, Strange Attractors, and Fractal Basin Boundaries in Nonlinear Dynamics
• The Geometry of Quantum Chaos
• Ergodic theory of chaos and strange attractors
• Lagrangians for spherically symmetric potentials
• Generalized Hamiltonian Dynamics
• New Approach to Nonequilibrium Processes

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