Phys. Rev. Lett. 73, 2377–2381 (1994)Construction of Invariant Tori and Integrable HamiltoniansReceived 25 February 1994; published in the issue dated 31 October 1994 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. © 1994 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.73.2377
DOI:
10.1103/PhysRevLett.73.2377
PACS:
03.20.+i, 05.45.+b, 95.10.Fh, 95.75.Pq
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