Abstract
The novel sufficient conditions for the existence of chaotic dynamics in n-dimensional autonomous polynomial dynamical systems are found. These conditions allowed to extend collections of known systems, for which the existence of chaotic attractors is rigorously proved and to complement these collections by new chaotic systems. As an example, a new chaotic attractor generated by the known Rabinovich–Fabrikant system is shown. In addition, new discrete maps generating chaos in Rabinovich–Fabrikant system are also represented. Besides, an application of got results for research of cubic dynamical systems is demonstrated.
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