Chaos in saw map

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. © 2019 World Scientific Publishing Company.

Authors
Begun N. 1, 3, 4 , Kravetc P. 2 , Rachinskii D. 2
Journal
International Journal of Bifurcation and Chaos
Publisher
World Scientific Publishing Co. Pte Ltd
Issue number
2
Language
English
State
Published
Link
External link
DOI
10.1142/S0218127419300052
Number
1930005
Volume
29
Year
2019
Organizations
  • 1 Institut für Mathematik, Freie Universität Berlin, Arnimallee 3D, Berlin, 14195, Germany
  • 2 Department of Mathematical Sciences, University of Texas at Dallas, 800 W Campbell Rd, Richardson, TX, United States
  • 3 Saint Petersburg State University, University Embankment, Saint-Petersburg, 199034, Russian Federation
  • 4 People's Friendship University of Russia, RUDN University, Miklouho-Maclay St 6, Moscow, 117198, Russian Federation
Keywords
chaotic attractor; Map of the interval; piecewise linear two-dimensional map; saw map; skew tent map
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