Certain stability type and integrable two-dimensional Hamiltonian systems

Authors

Foek T. Hioe, Saint John Fisher UniversityFollow

Document Type

Article

Publication Date

3-1-1989

Abstract

We present the results of applying an analytical method, using a new concept involving a periodic stability around a line of initial values, to two Hamiltonian systems with two degrees of freedom each with several parameters. By requiring the systems to have this type of stability, we have been led to known integrable cases for the systems. For one of the systems, our analysis gives six other cases, two of which turn out to be nonintegrable. The status of the remaining four cases has not been established.

DOI

10.1103/PhysRevA.39.2628

Comments

©March 1 1989, The American Physical Society. Original publication is available at http://link.aps.org/doi/10.1103/PhysRevA.39.2628

Publication Information

Hioe, Foek T. (1989). "Certain stability type and integrable two-dimensional Hamiltonian systems." Physical Review A 39.5, 2628-2634.

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