In the present paper we focus on the problem of the existence of strangepseudohyperbolic attractors for three-dimensional diffeomorphisms. Suchattractors are genuine strange attractors in that sense that each orbit in theattractor has a positive maximal Lyapunov exponents and this property isrobust, i.e. it holds for all close systems. We restrict attention to the studyof pseudohyperbolic attractors that contain only one fixed point. Then we showthat three-dimensional maps may have only 5 different types of such attractors,which we call the discrete Lorenz, figure-8, double-figure-8, super-figure-8,and super-Lorenz attractors. We find the first four types of attractors inthree-dimensional generalized H\'enon maps of form $\bar x = y, \; \bar y = z,\; \bar z = Bx + Az + Cy + g(y,z)$, where $A,B$ and $C$ are parameters ($B$ isthe Jacobian) and $g(0,0) = g^\prime(0,0) =0$.
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机译：在本文中，我们专注于存在于三维微分态的奇伪双曲线吸引子的问题。从这个意义上说，吸引子是真正的奇异吸引子，因为吸引子中的每个轨道都有一个正的最大Lyapunov指数，并且该属性是稳健的，即，它适用于所有封闭系统。我们将注意力集中在仅包含一个固定点的伪双曲线吸引子的研究上。然后，我们显示三维地图可能只有5种不同类型的此类吸引子，我们将其称为离散的Lorenz，Figure-8，double-figure-8，super-figure-8和super-Lorenz吸引子。我们在形式为$ \ bar x = y，\;的三维广义H \'enon映射中找到前四种吸引子。 \ bar y = z，\; \ bar z = Bx + Az + Cy + g（y，z）$，其中$ A，B $和$ C $是参数（$ B $是雅可比行列式），$ g（0,0）= g ^ \ prime （0,0）= 0 $。
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