1206.5061 (A. V. Tsiganov)

Simple non-Hamiltonian systems with an invariant measure    [PDF]

A. V. Tsiganov

We propose a simple construction of the non-Hamiltonian dynamical systems possessing an invariant measure. These non-Hamiltonian systems are deformations of the Hamiltonian systems associated with trivial deformations of the canonical Poisson brackets and time transformation. Sometimes these non-Hamiltonian systems can be identified with known nonholonomic systems and, therefore, the results are illustrated through the Chaplygin ball and the Veselova system.

View original: http://arxiv.org/abs/1206.5061