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arxiv: 1010.3257 · v1 · pith:TLGF65WHnew · submitted 2010-10-15 · 🧮 math.DS

Sets of vector fields with various properties of shadowing of pseudotra-jectories

classification 🧮 math.DS
keywords fieldsshadowinginteriorspropertiessetsvariousvectorclasses
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We study the structure of $C^1$-interiors of sets of smooth vector fields with various properties of shadowing of pseudotrajectories. It is shown for which classes of reparametrizations of shadowing trajectories the corresponding interiors consist of structurally stable fields.

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