Construction of invariant tori and integrable Hamiltonians

Details Construction of invariant tori and integrable Hamiltonians Construction of invariant tori and integrable Hamiltonians

Oct 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994phrvl..73.2377k&link_type=abstract

Physical Review Letters, Volume 73, Issue 18, October 31, 1994, pp.2377-2381

Nonlinear Sciences

Chaotic Dynamics

17

Chaotic Dynamics, Mathematical Procedures And Computer Techniques

Scientific paper

We present a general nonperturbative method for constructing an integrable Hamiltonian that is close to a given nonintegrable one. The existing invariant tori of the original Hamiltonian are accurately approximated by the constructed one. We illustrate the method by applying it to apparently near-integrable gravitational potentials for which no underlying integrable Hamiltonians are known.

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