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math.DS2015★ 55 cited
Variety of strange pseudohyperbolic attractors in three-dimensional generalized H'enon maps
Alexander Gonchenko, Sergey Gonchenko
In the present paper we focus on the problem of the existence of strange pseudohyperbolic attractors for three-dimensional diffeomorphisms. Such attractors are genuine strange attr…
math.DS2015
Homoclinic tangencies to resonant saddles and discrete Lorenz attractors
S. V. Gonchenko, I. I. Ovsyannikov
We study bifurcations of periodic orbits in three parameter general unfoldings of certain types quadratic homoclinic tangencies to saddle fixed points. We apply the rescaling techn…