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Suppression of period doubling in the dynamics of a bouncing ball

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Publication:1088246
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DOI10.1016/0167-2789(87)90232-6zbMath0612.58034OpenAlexW2076152754MaRDI QIDQ1088246

Kurt Wiesenfeld

Publication date: 1987

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(87)90232-6


zbMATH Keywords

period doubling bifurcationbouncing ball systemnear-resonant perturbationnear-resonant perturbations


Mathematics Subject Classification ID

Topological dynamics (37B99) Local and nonlocal bifurcation theory for dynamical systems (37G99)


Related Items

Subharmonic bifurcations and chaotic dynamics of an air damping completely inelastic bouncing ball ⋮ A new mechanical model for particle transport by surface waves and applications



Cites Work

  • Unnamed Item
  • Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
  • Chaotic dynamics of a bouncing ball
  • Applications of centre manifold theory
  • The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
  • The dynamics of repeated impacts with a sinusoidally vibrating table
  • On the Origin of the Cosmic Radiation
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