Normalization of a system with two large delays
I Kashchenko - International Journal of Bifurcation and Chaos, 2014 - World Scientific
International Journal of Bifurcation and Chaos, 2014•World Scientific
In this paper, the local dynamics of differential equations is studied with two asymptotically
large proportional delays. Depending on the parameters, critical cases in the problem of the
stability of the equilibrium state are identified. In all critical cases, special evolutionary
equations (quasinormal forms) are built. Their nonlocal dynamics determine the local
behavior of solutions of the original equations.
large proportional delays. Depending on the parameters, critical cases in the problem of the
stability of the equilibrium state are identified. In all critical cases, special evolutionary
equations (quasinormal forms) are built. Their nonlocal dynamics determine the local
behavior of solutions of the original equations.
In this paper, the local dynamics of differential equations is studied with two asymptotically large proportional delays. Depending on the parameters, critical cases in the problem of the stability of the equilibrium state are identified. In all critical cases, special evolutionary equations (quasinormal forms) are built. Their nonlocal dynamics determine the local behavior of solutions of the original equations.
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