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We consider the dynamics of a scalar piecewise linear "saw map" with infinitely many linear segments. In particular, such maps are generated as a Poincaré 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.
Original language | English |
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Article number | 1930005 |
Journal | International Journal of Bifurcation and Chaos |
Volume | 29 |
Issue number | 2 |
DOIs | |
State | Published - 1 Feb 2019 |
ID: 71226423