Non-autonomous curves on surfaces

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Consider a symplectic surface Σ with two properly embedded Hamiltonian isotopic curves L and L . Suppose g ∈ Ham(Σ) is a Hamiltonian diffeomorphism which sends L to L . Which dynamical properties of g can be detected by the pair (L,L )? We present two scenarios where one can deduce that g is “chaotic:” non-autonomous or even of positive entropy.

Original languageEnglish
Pages (from-to)305-317
Number of pages13
JournalJournal of Modern Dynamics
StatePublished - 2021


  • Hamiltonian dynamics
  • Non-autonomous diffeomorphisms

All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics


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