The study of the stability of cycles of discrete dynamical systems in the case of weak resonance

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Doklady Bashkirskogo Universiteta. 2017. Volume 2. No. 1. pp. 4-7.

Authors

Murtazina S. A.*
Bashkir State University, Sibay Branch (Institute)
21 Belova Street, 453833 Sibay, Republic of Bashkortostan, Russia

Abstract

This article examines the question of the stability of cycles that occur in the problem on bifurcation points of equilibria of discrete dynamical systems in the case of a weak resonance. Obtained new signs of stability cycles and equilibrium point, defined the characteristics that determine the properties of stability.

Keywords

  • dynamic systems
  • stability
  • bifurcation
  • periodic solution
  • equilibrium points
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