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Mode competition in a system of two parametrically driven pendulums with nonlinear coupling

Author

Listed:
  • Banning, E.J.
  • van der Weele, J.P.
  • Ross, J.C.
  • Kettenis, M.M.

Abstract

This paper is part three in a series on the dynamics of two coupled, parametrically driven pendulums. In the previous parts Banning and van der Weele (1995) and Banning et al. (1997) studied the case of linear coupling; the present paper deals with the changes brought on by the inclusion of a nonlinear (third-order) term in the coupling. Special attention will be given to the phenomenon of mode competition.

Suggested Citation

  • Banning, E.J. & van der Weele, J.P. & Ross, J.C. & Kettenis, M.M., 1997. "Mode competition in a system of two parametrically driven pendulums with nonlinear coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 245(1), pages 49-98.
    • Handle: RePEc:eee:phsmap:v:245:y:1997:i:1:p:49-98
    DOI: 10.1016/S0378-4371(97)00275-6
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    References listed on IDEAS

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    1. Banning, E.J. & van der Weele, J.P. & Kettenis, M.M., 1997. "Mode competition in a system of two parametrically driven pendulums; the role of symmetry," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 247(1), pages 281-311.
    2. Banning, E.J. & van der Weele, J.P. & Ross, J.C. & Kettenis, M.M. & de Kleine, E., 1997. "Mode competition in a system of two parametrically driven pendulums; the dissipative case," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 245(1), pages 11-48.
    3. Banning, E.J & van der Weele, J.P, 1995. "Mode competition in a system of two parametrically driven pendulums; the Hamiltonian case," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 220(3), pages 485-533.
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    Cited by:

    1. Banning, E.J. & van der Weele, J.P. & Kettenis, M.M., 1997. "Mode competition in a system of two parametrically driven pendulums; the role of symmetry," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 247(1), pages 281-311.
    2. Banning, E.J. & van der Weele, J.P. & Ross, J.C. & Kettenis, M.M. & de Kleine, E., 1997. "Mode competition in a system of two parametrically driven pendulums; the dissipative case," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 245(1), pages 11-48.

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    1. Banning, E.J. & van der Weele, J.P. & Ross, J.C. & Kettenis, M.M. & de Kleine, E., 1997. "Mode competition in a system of two parametrically driven pendulums; the dissipative case," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 245(1), pages 11-48.
    2. Banning, E.J. & van der Weele, J.P. & Kettenis, M.M., 1997. "Mode competition in a system of two parametrically driven pendulums; the role of symmetry," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 247(1), pages 281-311.

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