Geodesic
The dynamics of the logistic equation with delay and delayed control
Modelirovanie i analiz informacionnyh sistem, Tome 21 (2014) no. 5, pp. 61-77

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Dynamical properties of a logistic equation with delay and delay control are studied by asymptotic methods. It is shown that e ective control of characteristics of relaxation cycle is possible. A new method for studying the dynamics in the case of suffitiently large delay control coeffitient is worked out. It is found that the original problem of the dynamics of equations with delays is reduced to the problem of non-local dynamics of special nonlinear boundary value problems of parabolic type.
Mots-clés : relaxation oscillations
Keywords: large parameter, asymptotic behavior, delay, periodic solution. 
@article{MAIS_2014_21_5_a3,
     author = {S. A. Kashchenko},
     title = {The dynamics of the logistic equation with delay and delayed control},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {61--77},
     publisher = {mathdoc},
     volume = {21},
     number = {5},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2014_21_5_a3/}
}
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S. A. Kashchenko. The dynamics of the logistic equation with delay and delayed control. Modelirovanie i analiz informacionnyh sistem, Tome 21 (2014) no. 5, pp. 61-77. http://geodesic.mathdoc.fr/item/MAIS_2014_21_5_a3/