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.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)
- Applied Mathematics