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One family of conformally Hamiltonian systems

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Abstract

We propose a method for constructing conformally Hamiltonian systems of dynamical equations whose invariant measure arises from the Hamiltonian equations of motion after a change of variables including a change of time. As an example, we consider the Chaplygin problem of the rolling ball and the Veselova system on the Lie algebra e*(3) and prove their complete equivalence.

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Authors and Affiliations

  1. St. Petersburg State University, St. Petersburg, Russia

    A. V. Tsiganov

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  1. A. V. Tsiganov
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Correspondence to A. V. Tsiganov.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 173, No. 2, pp. 179–196, November, 2012.

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Tsiganov, A.V. One family of conformally Hamiltonian systems. Theor Math Phys 173, 1481–1497 (2012). https://doi.org/10.1007/s11232-012-0128-0

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