Chaos in saw map

Nikita Begun, Pavel Kravetc, Dmitrii Rachinskii

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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 languageEnglish
Article number1930005
JournalInternational Journal of Bifurcation and Chaos
Issue number2
StatePublished - 1 Feb 2019

Scopus subject areas

  • Modelling and Simulation
  • Engineering (miscellaneous)
  • General
  • Applied Mathematics


  • chaotic attractor
  • Map of the interval
  • piecewise linear two-dimensional map
  • saw map
  • skew tent map


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