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Homoclinic Bifurcation to a Transitive Attractor of Lorenz Type, II

Homoclinic Bifurcation to a Transitive Attractor of Lorenz Type, II

In this paper it is proven that there is a codimension two bifurcation of a double homoclinic connection of a fixed point with a resonance condition among the eigenvalues to a transitive attractor that is like that of the geometric model of the Lorenz equations. The two key parameters are …