Geometric approaches to the problem of instability in Hamiltonian systems. An informal presentation

  • Amadeu Delshams
  • Marian Gidea
  • Rafael de la Llave
  • Tere M. Seara
Conference paper
Part of the NATO Science for Peace and Security Series book series (NAPSB)

We present (informally) some geometric structures that imply instability in Hamiltonian systems. We also present some finite calculations which can establish the presence of these structures in a given near integrable systems or in systems for which good numerical information is available. We also discuss some quantitative features of the diffusion mechanisms such as time of diffusion, Hausdorff dimension of diffusing orbits, etc.


Hamiltonian System Invariant Manifold Unstable Manifold Implicit Function Theorem Homoclinic Orbit 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science + Business Media B.V 2008

Authors and Affiliations

  • Amadeu Delshams
    • 1
  • Marian Gidea
    • 2
  • Rafael de la Llave
    • 3
  • Tere M. Seara
    • 1
  1. 1.Departament de Matemàtica AplicadaUniversitat Politècnica de CatalunyaSpain
  2. 2.Department of MathematicsNortheastern Illinois UniversityChicagoUSA
  3. 3.Department of MathematicsUniversity of TexasAustinUSA

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