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Decomposition of almost-Poisson structure of generalised Chaplygin's nonholonomic systems
- Source :
- Chinese Physics B. 19:030302
- Publication Year :
- 2010
- Publisher :
- IOP Publishing, 2010.
-
Abstract
- This paper constructs an almost-Poisson structure for the non-self-adjoint dynamical systems, which can be decomposed into a sum of a Poisson bracket and the other almost-Poisson bracket. The necessary and sufficient condition for the decomposition of the almost-Poisson bracket to be two Poisson ones is obtained. As an application, the almost-Poisson structure for generalised Chaplygin's systems is discussed in the framework of the decomposition theory. It proves that the almost-Poisson bracket for the systems can be decomposed into the sum of a canonical Poisson bracket and another two noncanonical Poisson brackets in some special cases, which is useful for integrating the equations of motion.
- Subjects :
- Nonholonomic system
Dynamical systems theory
Mathematical analysis
Structure (category theory)
General Physics and Astronomy
Poisson distribution
symbols.namesake
Poisson bracket
Nonlinear Sciences::Exactly Solvable and Integrable Systems
Bracket (mathematics)
Mathematics::Quantum Algebra
Poisson manifold
symbols
Mathematics::Symplectic Geometry
Poisson algebra
Mathematics
Subjects
Details
- ISSN :
- 16741056
- Volume :
- 19
- Database :
- OpenAIRE
- Journal :
- Chinese Physics B
- Accession number :
- edsair.doi...........5a504aa5d4bf2f8250b5759681fbd831