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.
|Number of pages||27|
|Journal||Journal of Mathematical Sciences|
|State||Published - 1 Jan 2005|
ASJC Scopus subject areas
- Statistics and Probability
- Mathematics (all)
- Applied Mathematics