Hyperchaotic pseudohyperbolic attractors and quasiattractors in minimal ensembles of oscillators

We present a study of two minimal ensembles of oscillators of principally different types. The first ensemble describes the dynamics of two coupled classical Lorenz system. We demonstrate that it can generate robust chaotic dynamics associated with pseodohyperbolic attractors by Turaev-Shilnikov. The second ensemble describes dynamics of two coupled generators of quasiperiodic oscillations. It exhibits non-robust chaotic dynamics associated with quasiattractors of Afraimovich-Shilnikov type. Hyperchaotic dynamics are shown for both types of ensembles. Characteristic structures of parameter planes are demonstrated.