Chaotic dynamics of three-dimensional Hénon maps that originate from a homoclinic bifurcation

S. V. Gonchenko, J. D. Meiss, I. I. Ovsyannikov

We study bifurcations of a three-dimensional diffeomorphism, $g_0$, that has a quadratic homoclinic tangency to a saddle-focus fixed point with multipliers $(λe^{i\vphi}, λe^{-i\vp…