WIAS Preprint No. 968, (2004)

Homoclinic tangencies of arbitrarily high orders in conservative and dissipative two-dimensional maps


  • Gonchenko, Sergey V.
  • Shilnikov, Leonid
  • Turaev, Dmitry

2010 Mathematics Subject Classification

  • 37J45 37J25 37C29


  • non-hyperbolic dynamics, global bifurcations, Hamiltonian chaos, elliptic islands


We show that maps with infinitely many homoclinic tangencies of arbitrarily high orders are dense among real-analytic area-preserving diffeomorphisms in the Newhouse regions.

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