S Abenda 1997 J. Phys. A: Math. Gen. 30 143 doi:10.1088/0305-4470/30/1/011
Asymptotic analysis of time singularities for a class of time-dependent Hamiltonians
S Abenda
Show affiliationsWe analyse the local and global structure of time singularities for a class of quasi-integrable Hamiltonian systems in the Arnold - Liouville sense. We show that there is good agreement between the numerically observed local behaviour of the solutions and the perturbative scheme we produce using asymptotic approximations of the solution around the singularities. We also prove the convergence of the Psi-series associated to the movable singularities of the systems considered. We also propose a simple model in order to analyse the global structure of the singularities in the directions of exponential growth of the potential in time.
- PACS
- MSC
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41A60 Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (See also 30E15)
70H08 Nearly integrable Hamiltonian systems, KAM theory
34M55 Painlevé and other special equations; classification, hierarchies; isomonodromic deformations
- Subjects
- Dates
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Issue 1 (7 January 1997)
Received 14 March 1996, in final form 4 September 1996
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Asymptotic analysis of time singularities for a class of time-dependent Hamiltonians
S Abenda 1997 J. Phys. A: Math. Gen. 30 143
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