Variational principles for the invariant toroids of classical dynamics

Autor:	I C Percival
Rok vydání:	1974
Předmět:	Physics Toroid Finite volume method Integrable system Physics::Plasma Physics Phase space Quantum mechanics Bounded function General Physics and Astronomy Invariant (physics) Mathematics::Symplectic Geometry Mathematical physics
Zdroj:	Journal of Physics A: Mathematical, Nuclear and General. 7:794-802
ISSN:	0301-0015
DOI:	10.1088/0305-4470/7/7/005
Popis:	Kolmogorov (1957), Arnol'd (1973) and Moser (1962) proved that invariant toroids of N dimensions occupy a finite volume of the 2N-dimensional phase space of nearly integrable bounded systems of N degrees of freedom. Variational principles are stated for such invariant toroids.
Databáze:	OpenAIRE
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