Asymptotics of Solutions of the Generalized Hutchinson's Equation

S. A. Kaschenko

Modelirovanie i analiz informacionnyh sistem, Tome 19 (2012) no. 3, pp. 32-61.

Résumé

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.

Détail

Keywords: delay differential equation, Hutchinson's equation, large parameter, asymptotic, periodic solution.

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