A Universal Hamilton-Jacobi Theory

Abstract

In this paper we develop a Hamilton-Jacobi theory in the setting of almost Poisson manifolds. The theory extends the classical Hamilton-Jacobi theory and can be also applied to very general situations including nonholonomic mechanical systems and time dependent systems with external forces.

19 pages

References in corpus (1)

• Hamilton-Jacobi Theory for Degenerate Lagrangian Systems with Holonomic and Nonholonomic Constraints

Cited by in corpus (2)

• Characteristics, Bicharacteristics, and Geometric Singularities of Solutions of PDEs
• Dirac Structures in Vakonomic Mechanics