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Non-stationary attractors in the blinking systems: ghost attractor of Lorenz type

Nikita Barabash, Vladimir Belykh
In this paper we consider blinking systems, i.e. the systems randomly changing its structure in each sequential fixed period of time. Our goal is to find ghost attractors which arise in a blinking system being unexpectively different with respect to the attractors of composing systems. We study two blinking systems. One of them is a nonlinear rotator with switching torque and another is a
blinking piecewise-linear Lorenz-type system. We prove the existence of ghost attractors in both cases for certain parameter ranges.
CYBERNETICS AND PHYSICS, Vol. 8, Is. 4, 2019 , 209–214, https://doi.org/10.35470/2226-4116-2019-8-4-209-214
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