Browsing by Author "Begun, Nikita"
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Item Chaos In Saw Map(World Scientific Publ Co Pte Ltd, 2019-02) Begun, Nikita; Kravetc, Pavel; Rachinskiy Dmitry I.; Rachinskii, Dmitry I.We consider the dynamics of a scalar piecewise linear "saw map" with infinitely many linear segments. In particular, such maps are generated as a Poincare map of simple two-dimensional discrete time piecewise linear systems involving a saturation function. Alternatively, these systems can be viewed as a feedback loop with the so-called stop hysteresis operator. We analyze chaotic sets and attractors of the "saw map" depending on its parameters.