бифуркация Неймарка–Сакера.

FOUR-DIMENSIONAL SYSTEM WITH TORUS ATTRACTOR BIRTH VIA SADDLE-NODE BIFURCATION OF LIMIT CYCLES IN CONTEXT OF FAMILY OF BLUE SKY CATASTROPHES

A new four-dimensional model with quasi-periodic dynamics is suggested. The torus attractor originates via the saddle-node bifurcation, which may be regarded as a member of a bifurcation family embracing different types of blue sky catastrophes.

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DYNAMIC REGIMES AND MULTISTABILITY IN THE SYSTEM OF NON- SYMMETRICALLY COUPLED TWO-DIMENSIONAL MAPS WITH PERIOD- DOUBLING AND NEIMARK–SACKER BIFURCATIONS

The phenomenon of multistability in the system of coupled universal two-dimensional maps which shows period-doubling and Neimark–Sacker bifurcations is investigated. The decreasing of possible coexisting attractors number, the evolution of the attractor basins, the disappearance of hyperchaos and three-dimensional torus while putting coupling asymmetryare exposed.

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