Geodesic
Asymptotics of Solutions of the Generalized Hutchinson's Equation
Modelirovanie i analiz informacionnyh sistem, Tome 19 (2012) no. 3, pp. 32-61

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We discuss the dynamics of the Hutchinson's equation and its generalizations. An estimate of the global stability region of a positive steady state is obtained. The main results refer to existence, stability and asymptotics of a slow oscillating solution. New asymptotic methods are applied to a problem of dynamical properties of ODE system describing Belousov–Zhabotinsky reaction.
Keywords: delay differential equation, Hutchinson's equation, large parameter, asymptotic, periodic solution. 
@article{MAIS_2012_19_3_a1,
     author = {S. A. Kaschenko},
     title = {Asymptotics of {Solutions} of the {Generalized} {Hutchinson's} {Equation}},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {32--61},
     publisher = {mathdoc},
     volume = {19},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2012_19_3_a1/}
}
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S. A. Kaschenko. Asymptotics of Solutions of the Generalized Hutchinson's Equation. Modelirovanie i analiz informacionnyh sistem, Tome 19 (2012) no. 3, pp. 32-61. http://geodesic.mathdoc.fr/item/MAIS_2012_19_3_a1/