Integrable and non-integrble Hamiltonian
β Kozlov, ValeriΔ Viktorovich
π Library
π
1989
π Harwood Academic Publishers
π English
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Integrable Hamiltonian systems with vector potentials
β Scribed by Pucacco G., Rosquist K.
- Year
- 2005
- Tongue
- English
- Leaves
- 25
- Category
- Library
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β¦ Synopsis
We investigate integrable two-dimensional Hamiltonian systems with scalar andvector potentials, admitting second invariants which are linear or quadratic in themomenta. In the case of a linear second invariant, we provide some examples ofweakly integrable systems. In the case of a quadratic second invariant, we recoverthe classical strongly integrable systems in Cartesian and polar coordinates andprovide some new examples of integrable systems in parabolic and ellipticalcoordinates
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π BirkhΓ€user Basel
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