On the Hamilton approach of the dissipative systems

B. A. Zimin, I. S. Zorin, V. E. Sventitskaya

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


In this paper we consider the problem of constructing equations describing the states of dissipative dynamical systems (media with absorption or damping). The approaches of Lagrange and Hamilton are discussed. A non-symplectic extension of the Poisson brackets is formulated. The application of the Hamiltonian formalism here makes it possible to obtain explicit equations for the dynamics of a nonlinear elastic system with damping and a one-dimensional continuous medium with internal friction.

Original languageEnglish
Title of host publication8th Polyakhov's Reading
Subtitle of host publicationProceedings of the International Scientific Conference on Mechanics
EditorsElena V. Kustova, Gennady A. Leonov, Mikhail P. Yushkov, Nikita F. Morosov, Mariia A. Mekhonoshina
PublisherAmerican Institute of Physics
ISBN (Electronic)9780735416604
StatePublished - 2 May 2018
EventInternational Scientific Conference on Mechanics: 8th Polyakhov's Reading - Saint Petersburg, Russian Federation
Duration: 29 Jan 20182 Feb 2018

Publication series

NameAIP Conference Proceedings
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616


ConferenceInternational Scientific Conference on Mechanics: 8th Polyakhov's Reading
CountryRussian Federation
CitySaint Petersburg

Scopus subject areas

  • Physics and Astronomy(all)


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