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Adiabatic Invariants of Periodic Classical Systems

โœ Scribed by Gardner, C.


Book ID
115537838
Publisher
The American Physical Society
Year
1959
Tongue
English
Weight
281 KB
Volume
115
Category
Article
ISSN
0031-899X

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๐Ÿ“œ SIMILAR VOLUMES


Adiabatic invariance V: Multiple periods
โœ J.E Littlewood ๐Ÿ“‚ Article ๐Ÿ“… 1964 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 615 KB

We consider a system of n linear differential equations where the & , Bx,, are slowly varying functions of t in -\* < t < m . Suppose that if the coefficients are frozen at their values for any value 7 of t the modified equations have distinct real periods 27r/wk(7). We now ask whether, subject to

Construction of Complex Invariants for C
โœ R.S. Kaushal; Shweta Singh ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 144 KB

With a view to extracting some further insight into the features of a dynamical system, we investigate here the possibility of its admitting complex dynamical invariants. For this purpose, both the rationalization and the Lie algebraic methods are employed to study the one-dimensional Hamiltonian sy