On the Hamilton approach of the dissipative systems

Standard

On the Hamilton approach of the dissipative systems. / Zimin, B. A.; Zorin, I. S.; Sventitskaya, V. E.

8th Polyakhov's Reading: Proceedings of the International Scientific Conference on Mechanics. ed. / Elena V. Kustova; Gennady A. Leonov; Mikhail P. Yushkov; Nikita F. Morosov; Mariia A. Mekhonoshina. American Institute of Physics, 2018. 070041 (AIP Conference Proceedings; Vol. 1959).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Zimin, BA, Zorin, IS & Sventitskaya, VE 2018, On the Hamilton approach of the dissipative systems. in EV Kustova, GA Leonov, MP Yushkov, NF Morosov & MA Mekhonoshina (eds), 8th Polyakhov's Reading: Proceedings of the International Scientific Conference on Mechanics., 070041, AIP Conference Proceedings, vol. 1959, American Institute of Physics, International Scientific Conference on Mechanics: 8th Polyakhov's Reading, Saint Petersburg, Russian Federation, 29/01/18. https://doi.org/10.1063/1.5034716

APA

Zimin, B. A., Zorin, I. S., & Sventitskaya, V. E. (2018). On the Hamilton approach of the dissipative systems. In E. V. Kustova, G. A. Leonov, M. P. Yushkov, N. F. Morosov, & M. A. Mekhonoshina (Eds.), 8th Polyakhov's Reading: Proceedings of the International Scientific Conference on Mechanics [070041] (AIP Conference Proceedings; Vol. 1959). American Institute of Physics. https://doi.org/10.1063/1.5034716

Vancouver

Zimin BA, Zorin IS , Sventitskaya VE. On the Hamilton approach of the dissipative systems. In Kustova EV, Leonov GA, Yushkov MP, Morosov NF, Mekhonoshina MA, editors, 8th Polyakhov's Reading: Proceedings of the International Scientific Conference on Mechanics. American Institute of Physics. 2018. 070041. (AIP Conference Proceedings). https://doi.org/10.1063/1.5034716

Author

Zimin, B. A. ; Zorin, I. S. ; Sventitskaya, V. E. / On the Hamilton approach of the dissipative systems. 8th Polyakhov's Reading: Proceedings of the International Scientific Conference on Mechanics. editor / Elena V. Kustova ; Gennady A. Leonov ; Mikhail P. Yushkov ; Nikita F. Morosov ; Mariia A. Mekhonoshina. American Institute of Physics, 2018. (AIP Conference Proceedings).

BibTeX

@inproceedings{5304d431e71341edb730686ea2dc2b24,

title = "On the Hamilton approach of the dissipative systems",

abstract = "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.",

author = "Zimin, {B. A.} and Zorin, {I. S.} and Sventitskaya, {V. E.}",

note = "Publisher Copyright: {\textcopyright} 2018 Author(s). Copyright: Copyright 2018 Elsevier B.V., All rights reserved.; International Scientific Conference on Mechanics: 8th Polyakhov's Reading ; Conference date: 29-01-2018 Through 02-02-2018",

year = "2018",

month = may,

day = "2",

doi = "10.1063/1.5034716",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics",

editor = "Kustova, {Elena V.} and Leonov, {Gennady A.} and Yushkov, {Mikhail P.} and Morosov, {Nikita F.} and Mekhonoshina, {Mariia A.}",

booktitle = "8th Polyakhov's Reading",

address = "United States",

}

RIS

TY - GEN

T1 - On the Hamilton approach of the dissipative systems

AU - Zimin, B. A.

AU - Zorin, I. S.

AU - Sventitskaya, V. E.

PY - 2018/5/2

Y1 - 2018/5/2

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85047202496&partnerID=8YFLogxK

U2 - 10.1063/1.5034716

DO - 10.1063/1.5034716

M3 - Conference contribution

AN - SCOPUS:85047202496

T3 - AIP Conference Proceedings

BT - 8th Polyakhov's Reading

A2 - Kustova, Elena V.

A2 - Leonov, Gennady A.

A2 - Yushkov, Mikhail P.

A2 - Morosov, Nikita F.

A2 - Mekhonoshina, Mariia A.

PB - American Institute of Physics

T2 - International Scientific Conference on Mechanics: 8th Polyakhov's Reading

Y2 - 29 January 2018 through 2 February 2018

ER -

ID: 75171893