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

Dynamical Systems 2010-10-18 v1

Abstract

We study the structure of C1C^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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Cite

@article{arxiv.1010.3257,
  title  = {Sets of vector fields with various properties of shadowing of pseudotra-jectories},
  author = {Sergei Yu. Pilyugin and Sergey Tikhomirov},
  journal= {arXiv preprint arXiv:1010.3257},
  year   = {2010}
}

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3 pages