In this survey paper we present some recent results in the iteration theory. Mainly, we focus
on the problems concerning real iteration groups (flows) and semigroups (semiflows) such …

We present a method for finding continuous (and consequently homeomorphic) orientation
preserving iterative roots of a Brouwer homeomorphism which is embeddable in a flow. To …

We present two theorems describing the structure of the set of all regular points and the set
of all irregular points for a Brouwer homeomorphism which is embeddable in a flow. The …

This is a survey paper on selected topics concerning the embeddability of given mappings in
real flows. Particular attention will be paid to the relationship between the problem of the …

Full article: On the topological equivalence of flows of Brouwer homeomorphisms Skip to Main
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We study the set of all strongly irregular points of a Brouwer homeomorphism f which is
embeddable in a flow. We prove that this set is equal to the first prolongational limit set of …

We present properties of sets of invariant lines for Brouwer homeomorphisms which are not
necessarily embeddable in a flow. Using such lines we describe the structure of equivalence …

We study the problem of topological conjugacy of Brouwer flows. We give a sufficient and
necessary condition for Brouwer flows to be topologically conjugate. To obtain this result we …