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• Weak forms of shadowing in topological dynamics

  Publication

  • D. Cherkashin
  • S. Kryzhevich

  - Topological Methods in Nonlinear Analysis - Year 2017

  We consider continuous maps of compact metric spaces. It is proved that every pseudotrajectory with sufficiently small errors contains a subsequence of positive density that is point-wise close to a subsequence of an exact trajectory with the same indices. Also, we study homeomor- phisms such that any pseudotrajectory can be shadowed by a finite number of exact orbits. In terms of numerical methods this property (we call it multishadowing)...

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