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Construction of Exact Invariants for Classical Dynamical Systems in Three Dimensions

โœ Scribed by R.S. Kaushal; D. Parashar; Shalini Gupta; S.C. Mishra

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
328 KB
Volume
259
Category
Article
ISSN
0003-4916

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โœฆ Synopsis

Attempts are made to construct exact invariants for a variety of time-dependent classical dynamical systems in three dimensions. We make use of the dynamical algebraic method for this purpose and explore several new systems admitting the invariants. In particular, systems involving both momentum and time dependences in two and three dimensions are investigated within this framework. With reference to the time-dependent case in three dimensions some further generalizations of Ermakov systems are discussed.

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