Geodesic
Local dynamics of equation with periodically distributed delay
Teoretičeskaâ i matematičeskaâ fizika, Tome 212 (2022) no. 2, pp. 273-286

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We study an equation with periodically distributed delay. The dependence of the equilibrium state stability on the parameters is investigated. We show that the stability region can have a complicated shape. For a long delay, we construct the asymptotic approximations of expressions for the stability region boundary in the parameter space. We construct the normal forms and determine the occurring bifurcations in the critical cases.
Keywords: delay, dynamics, asymptotics, normal form. 
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     author = {I. S. Kashchenko and E. M. Glushevskii},
     title = {Local dynamics of equation with periodically distributed delay},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {273--286},
     publisher = {mathdoc},
     volume = {212},
     number = {2},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2022_212_2_a7/}
}
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I. S. Kashchenko; E. M. Glushevskii. Local dynamics of equation with periodically distributed delay. Teoretičeskaâ i matematičeskaâ fizika, Tome 212 (2022) no. 2, pp. 273-286. http://geodesic.mathdoc.fr/item/TMF_2022_212_2_a7/