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Dynamics of Dissipative Systems with Hamiltonian Structures.
- Source :
-
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering . 2021, Vol. 31 Issue 14, p1-9. 9p. - Publication Year :
- 2021
-
Abstract
- In this work, we study a class of dissipative, nonsmooth n degree-of-freedom dynamical systems. As the dissipation is assumed to be proportional to the momentum, the dynamics in such systems is conformally symplectic, allowing us to use some of the Hamiltonian structure. We initially show that there exists an integral invariant of the Poincaré–Cartan type in such systems. Then, we prove the existence of a generalized Liouville Formula for conformally symplectic systems with rigid constraints using the integral invariant. A two degree-of-freedom system is analyzed to support the relevance of our results. [ABSTRACT FROM AUTHOR]
- Subjects :
- *HAMILTONIAN systems
*SYSTEM dynamics
*DYNAMICAL systems
*INTEGRALS
Subjects
Details
- Language :
- English
- ISSN :
- 02181274
- Volume :
- 31
- Issue :
- 14
- Database :
- Academic Search Index
- Journal :
- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 153739273
- Full Text :
- https://doi.org/10.1142/S0218127421502175