Search results for: BODY SHADOWING

• FEW-BODY SYSTEMS

  Journals

  ISSN: 0177-7963 , eISSN: 1432-5411

• Technologia Wody

  Journals

  ISSN: 2080-1467

• Partial hyperbolicity and central shadowing

  Publication

  • S. Kryzhevich
  • S. Tikhomirov

  - Discrete & Continuous Dynamical Systems - A - Year 2013

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• Inverse shadowing and related measures

  Publication

  • S. Kryzhevich
  • S. Pilyugin

  - Science China-Mathematics - Year 2020

  We study various weaker forms of the inverse shadowing property for discrete dynamical systems on a smooth compact manifold. First, we introduce the so-called ergodic inverse shadowing property (Birkhoff averages of continuous functions along an exact trajectory and the approximating one are close). We demonstrate that this property implies the continuity of the set of invariant measures in the Hausdorff metric. We show that the...

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• Partial hyperbolicity and central shadowing

  Publication

  • S. Kryzhevich
  • S. Tikhomirov

  - DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS - Year 2013

  We study shadowing property for a partially hyperbolic diffeomor- phism f. It is proved that if f is dynamically coherent then any pseudotrajec- tory can be shadowed by a pseudotrajectory with “jumps” along the central foliation. The proof is based on the Tikhonov-Shauder fixed point theorem.

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• Shadowing is generic---a continuous map case

  Publication

  • P. Kościelniak
  • M. Mazur
  • P. Oprocha
  • P. Pilarczyk

  - Discrete & Continuous Dynamical Systems - A - Year 2014

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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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• BODY IMAGE

  Journals

  ISSN: 1740-1445 , eISSN: 1873-6807

• Body & Society

  Journals

  ISSN: 1357-034X , eISSN: 1460-3632

• The shadowing chain lemma for singular Hamiltonian systems involving strong forces

  Publication

  • M. Izydorek
  • J. Janczewska

  - Central European Journal of Mathematics - Year 2012

  W niniejszym artykule rozważamy autonomiczny układ Hamiltonowski na płaszczyźnie z potencjałem, który ma punkt osobliwy (studnię nieskończonej głębokości) i maksimum globalne właściwe równe zero przyjmowane w dwóch różnych punktach płaszczyzny. Przy założeniu, że w otoczeniu punktu osobliwego potencjał spełnia warunek Gordona(gradient tego potencjału w otoczeniu punktu osobliwego jest tzw. silną siłą, ang. a strong force) dowodzimy...

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