id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-48	Gorban, Alexander N.	Singularities of transition processes in dynamical systems: Qualitative theory of critical delays	2004	55	.pdf	application/pdf	31094	2088	79	For a given parameter value k ∈ K and an initial state x ∈ X, the ω-limit set ω(x, k) is the set of all limit points of f(t, x, k) as t→∞: y is in ω(x, k) if and only if there exists a sequence ti ≥ 0 such that ti →∞ and f(ti, x, k) → y. Examples of ω-limit points are stationary (fixed) points, points of limit cycles and so on. [0,∞)×X ×K → X (1.1) be a continuous mapping for any t ≥ 0, k ∈ K; let mapping f(t, ·, k) : X → X be homeomorphism of X into subset of X and under every k ∈ K let these homeomorphisms form monoparametric semigroup: f(0, ·, k)	cache/ejde-48.pdf	txt/ejde-48.txt