Characterization of topologically transitive attractors for analytic plane flows | Zendy

Martin Shoptrajanov | Zendy; Nikita Shekutkovski | Zendy

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Characterization of topologically transitive attractors for analytic plane flows

Author(s) -

Martin Shoptrajanov,

Nikita Shekutkovski

Publication year - 2015

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1501089s

Subject(s) - mathematics , transitive relation , attractor , characterization (materials science) , plane (geometry) , limit (mathematics) , flow (mathematics) , set (abstract data type) , pure mathematics , open set , topology (electrical circuits) , mathematical analysis , combinatorics , geometry , materials science , computer science , programming language , nanotechnology

We give necessary conditions for a set to be topologically transitive attractor of an analytic plane flow using topological characterization of !-limit sets and the concept of upper semi-continuity of multi valued maps.

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