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Symbolic Dynamics for Transition Tori-II

In: New Advances in Celestial Mechanics and Hamiltonian Systems

Author

Listed:
  • Marian Gidea

    (Northeastern Illinois University, Department of Mathematics)

  • Clark Robinson

    (Northwestern University, Departament de Mathematics)

Abstract

We use Conley index theory to approach the problem of the transition tori of Arnold which have transverse intersections. We prove that near any finite collection of transition tori, there exists a set invariant for a certain power of the symplectic diffeomorphism, on which the dynamics is semi-conjugate to a full shift. Our treatment relies on an earlier article of C. Robinson.

Suggested Citation

  • Marian Gidea & Clark Robinson, 2004. "Symbolic Dynamics for Transition Tori-II," Springer Books, in: J. Delgado & E. A. Lacomba & J. Llibre & E. Pérez-Chavela (ed.), New Advances in Celestial Mechanics and Hamiltonian Systems, pages 95-108, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4419-9058-7_6
    DOI: 10.1007/978-1-4419-9058-7_6
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