Journal of Mathematical Sciences

, Volume 126, Issue 4, pp 1317–1343 | Cite as

On dynamic properties of diffeomorphisms with homoclinic tangency

  • S. V. Gonchenko
  • D. V. Turaev
  • L. P. Shil’nikov
Article

Abstract

We study dynamic properties of systems in Newhouse domains near a diffeomorphism having a saddle fixed point with a homoclinic tangency in the following cases: one-dimensional, two-dimensional, where a fixed point is a saddle-focus with one real and two complex-conjugate multipliers, and four-dimensional saddle-focus with two pairs of complex-conjugate multipliers.

Keywords

Dynamic Property Homoclinic Tangency Newhouse Domain Saddle Fixed Point 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • S. V. Gonchenko
  • D. V. Turaev
  • L. P. Shil’nikov

There are no affiliations available

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