A Physical Dissipative System with a Poincaré Homoclinic Figure-Eight

  • C. SimóEmail author
  • A. Vieiro
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 54)


We consider 2D diffeomorphisms with a homoclinic figure-eight to a dissipative saddle under a periodic forcing. These systems are natural simplified models of phenomena with forcing and dissipation. As a physical example we study the dynamics of a parametrically driven dissipative pendulum with a magnetic kick forcing acting on it.


Bifurcation Diagram Invariant Manifold Invariant Curve Bifurcation Problem Invariant Curf 
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This work has been supported by grants MTM2010-16425 (Spain) and 2009 SGR 67 (Catalonia). We thank J. Timoneda for the technical support on the computing facilities of the Dynamical Systems Group of the Universitat de Barcelona, largely used in this work.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Departament de Matemàtica Aplicada i AnàlisiUniversitat de BarcelonaBarcelonaSpain

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