WIAS Preprint No. 968, (2004)
Homoclinic tangencies of arbitrarily high orders in conservative and dissipative two-dimensional maps
Authors
- Gonchenko, Sergey V.
- Shilnikov, Leonid
- Turaev, Dmitry
2010 Mathematics Subject Classification
- 37J45 37J25 37C29
Keywords
- non-hyperbolic dynamics, global bifurcations, Hamiltonian chaos, elliptic islands
DOI
Abstract
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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