This work is a review of recent results, which have been obtained within the framework of the mathematical theory of dynamical chaos and are related to the discovery of its third new form, the so-called mixed dynamics. This type of chaos considerably differs from its two classical forms, namely, conservative chaos and dissipative chaos, and the main difference is that attractors and repellers can intersect without coincidence. This work offers theoretical substantiation of this phenomenon without involving a serious mathematical apparatus and also provides a number of examples of the systems from applications in which the mixed dynamics is observed. We show that the mixed dynamics can be of different types, ranging from that close to conservative to the strongly dissipative one, and that it can result from various bifurcation mechanisms.

这项工作是对最近在动力学混沌数学理论框架内获得的结果的回顾，这些结果与发现其第三种新形式，即所谓的混合动力学有关。这种混沌与其两种经典形式，即保守混沌和耗散混沌有很大不同，主要区别在于吸引子和排斥器可以相交而不会巧合。这项工作在不涉及严肃的数学仪器的情况下为这种现象提供了理论证实，并且还提供了许多来自观察混合动力学的应用的系统示例。我们表明混合动力学可以是不同类型的，从接近保守的到强耗散的，并且它可以由各种分叉机制产生。