Signs of stability of bifurcation periodic solutions of systems with periodic coefficients

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Doklady Bashkirskogo Universiteta. 2019. Volume 4. No. 1. pp. 24-31.

Authors

Yumagulov M. G.
Bashkir State University
32 Zaki Validi Street, 450074 Ufa, Republic of Bashkortostan, Russia
Murtazina S. A.*
Bashkir State University, Sibay Branch (Institute)
21 Belova Street, 453833 Sibay, Republic of Bashkortostan, Russia

Abstract

This article discusses a two-parameter system with periodic coefficients. The problems of stability of periodic solutions arising from bifurcation are studied. New signs of stability are given in cases of strong and weak resonance.

Keywords

  • systems with periodic coefficients
  • periodic solutions
  • stability
  • bifurcation
  • subharmonic oscillations
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