The Hojman Construction and Hamiltonization of Nonholonomic Systems

Abstract

In this paper, using the Hojman construction, we give examples of various Poisson brackets which differ from those which are usually analyzed in Hamiltonian mechanics. They possess a nonmaximal rank, and in the general case an invariant measure and Casimir functions can be globally absent for them.

References in corpus (2)

• On the Integration Theory of Equations of Nonholonomic Mechanics
• A 'User-Friendly' Approach to the Dynamical Equations of Non-Holonomic Systems

Cited by in corpus (4)

• Infinitesimal time reparametrisation and its applications
• Superintegrable Cases of Four Dimensional Dynamical Systems
• Inverse Jacobi multiplier as a link between conservative systems and Poisson structures
• (2+1)-dimensional f(R) gravity solutions via Hojman symmetry