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Conservative perturbation theory for nonconservative systems.
- Source :
-
Physical Review E: Statistical, Nonlinear & Soft Matter Physics . Dec2015, Vol. 92 Issue 6-B, p1-7. 7p. - Publication Year :
- 2015
-
Abstract
- In this paper, we show how to use canonical perturbation theory for dissipative dynamical systems capable of showing limit-cycle oscillations. Thus, our work surmounts the hitherto perceived barrier for canonical perturbation theory that it can be applied only to a class of conservative systems, viz., Hamiltonian systems. In the process, we also find Hamiltonian structure for an important subset of Liénard system--a paradigmatic system for modeling isolated and asymptotic oscillatory state. We discuss the possibility of extending our method to encompass an even wider range of nonconservative systems. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 15393755
- Volume :
- 92
- Issue :
- 6-B
- Database :
- Academic Search Index
- Journal :
- Physical Review E: Statistical, Nonlinear & Soft Matter Physics
- Publication Type :
- Academic Journal
- Accession number :
- 113223422
- Full Text :
- https://doi.org/10.1103/PhysRevE.92.062927