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Prog. Theor. Phys. Vol. 102 No. 5 (1999) pp. 937-946
Dynamics near Resonance Junctions in Hamiltonian Systems
Shin-itiro Goto and
Kazuhiro Nozaki
Department of Physics, Nagoya University, Nagoya 464-8602, Japan
(Received June 17, 1999)
Abstract:
An approximate Poincaré map near equally strong multiple resonances is
reduced by means of the method of averaging. Near the resonance junction of
three degrees of freedom, we find that some homoclinic orbits (“whiskers”)
in single resonance lines survive and form nearly periodic orbits, each of
which looks like a pair of homoclinic orbits.
URL :
http://ptp.ipap.jp/link?PTP/102/937/
DOI : 10.1143/PTP.102.937
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