Begun, NikitaKravetc, PavelRachinskiy Dmitry I.2020-09-172020-09-172019-020218-1274https://dx.doi.org/10.1142/S0218127419300052https://hdl.handle.net/10735.1/8905We 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.en©2019 World Scientific Publishing Co.Bifurcation theoryMathematicsarticleBegun, Nikita, Pavel Kravetc, and Dmitry Rachinskii. 2019. "Chaos in Saw Map." International Journal of Bifurcation and Chaos 29(2): art. 1930005, doi: 10.1142/S0218127419300052292