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Prog. Theor. Phys. Vol. 78 No. 6 (1987) pp. 1351-1363
Extraction of a Collective Submanifold for the Hénon-Heiles System
Kunio Takabayashi
Department of Physics, Hiroshima University, Hiroshima 730
(Received February 7, 1987)
Abstract:
The maximal-decoupling procedure of a collective submanifold formulated within the framework of the time-dependent Hartree-Fock theory is applied to a classical Hamiltonian system numerically investigated by Hénon and Heiles. The periodic orbits are obtained from the condition that the terms with zero denominators vanish in the collective Hamiltonian and they are in agreement with the numerical results by computer simulation.
URL :
http://ptp.ipap.jp/link?PTP/78/1351/
DOI : 10.1143/PTP.78.1351
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