"Nonsymmetric Lorenz Attractors from a Homoclinic Bifurcation"

This paper considers a bifurcation of a flow in three dimensions from a double homoclinic connection to a fixed point satisfying a resonance condition between the eigenvalues. For correctly chosen parameters in the unfolding, we prove that there is a transitive attractor of Lorenz type. We do not assume any symmetry condition, so we need to discuss nonsymmetric one dimensional Poincare maps with one discontinuity and absolute value of the derivative always greater than one.

It is available in the following formats:

Return to list of Clark Robinson's Preprints