International Journal of Civil Engineering and Technology.
IAEME Publication.
Vol. 10.
2019.
P. 1942-1948
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
Publisher
World Scientific Publishing Co. Pte Ltd
Number of issue
2
Language
English
Status
Published
Link
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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Catalysts.
MDPI AG.
Vol. 9.
2019.