Hyperbolic sets and shift automorhpisms

  • Charles C. Conley
III. Nonlinear Differential Equations
Part of the Lecture Notes in Physics book series (LNP, volume 38)


An elementary discussion of hyperbolic invariant sets is presented and a proof of the theorem that “near any nonperiodic chain recurrent point there lies an embedded shift automorphism” is indicated.


Periodic Orbit Periodic Point Stable Manifold Vertical Strip Homoclinic Point 
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Copyright information

© Springer-Verlag 1975

Authors and Affiliations

  • Charles C. Conley
    • 1
  1. 1.Department of MathematicsUniversity of WisconsinMadison

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