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arXiv · 1709.01962

Chaos in Saw Map

Nikita Begun·Pavel Kravetc·Dmitrii Rachinskii
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Abstract

We consider dynamics of a scalar piecewise linear "saw map" with infinitely many linear segments. In particular, such maps are generated as a Poincar\'e 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.

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Nikita Begun, Pavel Kravetc, Dmitrii Rachinskii. 2017-09-06. Chaos in Saw Map. https://arxiv.org/abs/1709.01962

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