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.
Original language | English |
---|---|
Pages (from-to) | 1317-1343 |
Number of pages | 27 |
Journal | Journal of Mathematical Sciences |
Volume | 126 |
Issue number | 4 |
State | Published - 1 Jan 2005 |
ASJC Scopus subject areas
- Statistics and Probability
- General Mathematics
- Applied Mathematics