Simple non-Hamiltonian systems with an invariant measure

A. V. Tsiganov

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arXiv · 1206.5061

Simple non-Hamiltonian systems with an invariant measure

A. V. Tsiganov

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Abstract

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.

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A. V. Tsiganov. 2012-06-22. Simple non-Hamiltonian systems with an invariant measure. https://arxiv.org/abs/1206.5061

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