Stability of the Simplest Periodic Solutions in the Stuart--Landau Equation with Large Delay
Modelirovanie i analiz informacionnyh sistem, Tome 19 (2012) no. 3, pp. 136-141
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We study the local dynamics of the Stuart–Landau equation with large delay in the neibourhood of periodic solutions. We find sufficient conditions of instability of periodic solutions and sufficient conditions of their stability.
Keywords:
Stuart—Landau equation, small parameter, large delay, stability, periodic solution.
@article{MAIS_2012_19_3_a9,
author = {A. A. Kashchenko},
title = {Stability of the {Simplest} {Periodic} {Solutions} in the {Stuart--Landau} {Equation} with {Large} {Delay}},
journal = {Modelirovanie i analiz informacionnyh sistem},
pages = {136--141},
publisher = {mathdoc},
volume = {19},
number = {3},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MAIS_2012_19_3_a9/}
}
TY - JOUR AU - A. A. Kashchenko TI - Stability of the Simplest Periodic Solutions in the Stuart--Landau Equation with Large Delay JO - Modelirovanie i analiz informacionnyh sistem PY - 2012 SP - 136 EP - 141 VL - 19 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MAIS_2012_19_3_a9/ LA - ru ID - MAIS_2012_19_3_a9 ER -
%0 Journal Article %A A. A. Kashchenko %T Stability of the Simplest Periodic Solutions in the Stuart--Landau Equation with Large Delay %J Modelirovanie i analiz informacionnyh sistem %D 2012 %P 136-141 %V 19 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/MAIS_2012_19_3_a9/ %G ru %F MAIS_2012_19_3_a9
A. A. Kashchenko. Stability of the Simplest Periodic Solutions in the Stuart--Landau Equation with Large Delay. Modelirovanie i analiz informacionnyh sistem, Tome 19 (2012) no. 3, pp. 136-141. http://geodesic.mathdoc.fr/item/MAIS_2012_19_3_a9/