Published December 2001 | Version v1
Journal article

Dynamical ordering of non-Birkhoff periodic orbits in a forced pendulum

  • 1. Teikyo Heisei Univ., Ichihara, Chiba (Japan)
  • 2. National Astronomical Observatory, Mitaka, Tokyo (Japan)

Description

Forced pendulums induce reversible non-monotone twist mappings. Non-Birkhoff periodic orbits (NBO) are found in these mappings, and hence in the pendulums. The existence of an NBO is equivalent to the non-integrability of the system. Two types of dynamical ordering for NBOs are obtained. (author)

Additional details

Publishing Information

Journal Title
Progress of Theoretical Physics (Kyoto)
Journal Volume
106
Journal Issue
6
Journal Page Range
p. 1097-1114
ISSN
0033-068X

INIS

Country of Publication
Japan
Country of Input or Organization
Japan
INIS RN
33014938
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
BIFURCATION; DIFFERENTIAL EQUATIONS; DISTURBANCES; MAPPING; ORBIT STABILITY; ORDER PARAMETERS; OSCILLATIONS; SADDLE-POINT METHOD
Descriptors DEC
CALCULATION METHODS; EQUATIONS; STABILITY

Optional Information

Notes
23 refs., 9 figs., 3 tabs.