ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)


дифференциально-разностное уравнение

Local dynamics of difference and difference-differential equations

We study local dynamics of difference and singular perturbed difference-differential systems in the neighborhood of zero equilibrium state. All critical cases in this problem have infinite dimension. We construct special nonlinear equations that play the role of normal form. Their nonlocal dynamics describes the behavior of solution of initial system.