Complicated Behavior in Rotary Motions of a Forced, Damped Pendulum

• YAGASAKI Kazuyuki

  Gifu University

Bibliographic Information

Other Title

• 223 強制減衰振子の回転運動における複雑な挙動

Abstract

We study rotary motions in a damped pendulum subjected to periodically varying torque. Using a Melinikov-type technique and the averaging method, we detect the occurrence of quasiperiodic rotations constructing a stable invariant torus in nonresonance and resonance domains. We also show that in the resonance zones there are narrow regions with exponentially small upper bounds in which the stable and unstable manifolds of periodic rotary orbits intersect. Moreover, we give direct numerical analyses to demonstrate the theoretical results.

Journal

• Dynamics and Design Conference : 機械力学・計測制御講演論文集 : D & D

  Dynamics and Design Conference : 機械力学・計測制御講演論文集 : D & D 2000 (0), 73-, 2000-09-01

  The Japan Society of Mechanical Engineers

Keywords

• Chaos
• Bifurcation
• Forced Pendulum
• Melnikov Method
• Averaging

Details

• CRID: 1573105977004219392
• NII Article ID: 110002482437
• NII Book ID: AA11901770
• ISSN: 13480235
• Text Lang: ja
• Data Source:
  • CiNii Articles