... X.Below we call the semigroup of mappings f(t, ·, k) under fixed k a semiflow of homeomorphisms (or, for short, semiflow), and the mapping (1.1) a family of semiflows or simply a system (1.1). It is obvious ... 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 thesehomeomorphisms form monoparametric semigroup:f(0, ... otherpeculiarities of dynamics for general dynamical system under small pertur-bations are the same as for the Morse-Smale systems, and, in particular,the same as for rough two-dimensional systems.(5)...