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Interval computing periodic orbits of maps using a piecewise approach

  • Published:2018-11 Issue: Volume:336 Page:67-75
  • ISSN:0096-3003
  • Container-title:Applied Mathematics and Computation
  • language:en
  • Short-container-title:Applied Mathematics and Computation

Author:

Nepomuceno Erivelton G.ORCID,Rodrigues Junior Heitor M.,Martins Samir A.M.,Perc MatjažORCID,Slavinec Mitja

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference31 articles.

1. Can we trust in numerical computations of chaotic solutions of dynamical systems?;Lozi,2013

2. Chaos in Dynamical Systems (Second edition);Ott,2002

3. Do numerical orbits of chaotic dynamical processes represent true orbits?;Hammel;J Complex,1987

4. Numerical methods can suppress chaos;Corless;Phys. Lett. A,1991

5. How long do numerical chaotic solutions remain valid?;Sauer;Phys. Rev. Lett.,1997

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