On singularly perturbed ordinary differential equations with measure-valued limits
On the rate of convergence to the neutral attractor of a family of one-dimensional maps
For a family of maps , d ∈ [2,∞], p ∈ [0,1]. we analyze the speed of convergence (including constants) to the globally attracting neutral fixed point p = 0. The study is motivated by a problem in the optimization of routing. The aim of this paper is twofold: (1) to extend the usage of dynamical systems to unexplored areas of algorithms and (2) to provide a toolbox for a precise analysis of the iterates near a non-degenerate neutral fixed point.
Persistence and bifurcation analysis on a predator–prey system of holling type
We present a Gause type predator–prey model incorporating delay due to response of prey population growth to density and gestation. The functional response of predator is assumed to be of Holling type II. In absence of prey, predator has a density dependent death rate. Sufficient criterion for uniform persistence is derived. Conditions are found out for which system undergoes a Hopf–bifurcation.
Persistence and bifurcation analysis on a predator–prey system of holling type
We present a Gause type predator–prey model incorporating delay due to response of prey population growth to density and gestation. The functional response of predator is assumed to be of Holling type II. In absence of prey, predator has a density dependent death rate. Sufficient criterion for uniform persistence is derived. Conditions are found out for which system undergoes a Hopf–bifurcation.
Pullback incremental attraction
A pullback incremental attraction, a nonautonomous version of incremental stability, is introduced for nonautonomous systems that may have unbounded limiting solutions. Its characterisation by a Lyapunov function is indicated.
Qualitative properties of a predator-prey model with delay.
Synchronization of nonautonomous dynamical systems.
Teorie deterministického chaosu a některé její aplikace (1. část)
Teorie deterministického chaosu a některé její aplikace (2. část)
Uniform exponential stability of linear periodic systems in a Banach space.
Upper semicontinuity of attractors of non-autonomous dynamical systems for small perturbations.
Замечание к моей работе "Об одном способе аппроксимации аттракторов" (Зап. научн. семин.ЛОМИ, 1991, т.188, с.87-104)
Об одном способе аппроксимации аттракторов
Регулярный подход в задаче об аттракторах сингулярно возмущенных уравнений