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On attractors and repellers of codimension one

TitleOn attractors and repellers of codimension one
AuthorsV. Z. Grines1, E. D. Kurenkov1
1National Research University Higher School of Economics (Nizhny Novgorod)
AnnotationThe present paper is devoted to the study of the dynamics of the restriction of smooth $A$-endomorphisms of closed manifolds of dimension greater than one to basic sets of codimension one, under the assumption that these sets are topological submanifolds of type $(n-1, 1) $ or $(n, 0)$.
Keywordsendomorphism, axiom $A$, basic set
CitationGrines V. Z., Kurenkov E. D. ''On attractors and repellers of codimension one'' [Electronic resource]. Proceedings of the XIII International scientific conference ''Differential equations and their applications in mathematical modeling''. (Saransk, July 12-16, 2017). Saransk: SVMO Publ, 2017. - pp. 370-374. Available at: https://conf.svmo.ru/files/deamm2017/papers/paper52.pdf. - Date of access: 13.12.2024.