Abstract
The author proves that a cubic differential equation in three dimensions has a transitive attractor similar to that of the geometric model of the Lorenz equations. In fact, what is proved is that such an attractor results if a double homoclinic connection of a fixed point with a resonance condition among the eigenvalues is broken in a careful way.
| Original language | English (US) |
|---|---|
| Article number | 001 |
| Pages (from-to) | 495-518 |
| Number of pages | 24 |
| Journal | Nonlinearity |
| Volume | 2 |
| Issue number | 4 |
| DOIs | |
| State | Published - 1989 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- General Physics and Astronomy
- Applied Mathematics