Is every pseudo-orbit of some homeomorphism near an exact orbit of a nearby homeomorphism? 1. introduction

HIGHLIGHTS

  • who: OF A NEARBY HOMEOMORPHISM? and colleagues from the (UNIVERSITY) have published the research: IS EVERY PSEUDO-ORBIT OF SOME HOMEOMORPHISM NEAR AN EXACT ORBIT OF A NEARBY HOMEOMORPHISM? 1. Introduction, in the Journal: (JOURNAL)
  • what: The aim of this paper is to present a relaxed notion of shadowing, essentially motivated from modeling of physical systems.

SUMMARY

    Shadowing is a fundamental property of dynamical systems, both for its theoretical significance and for numerical applications. Roughly speaking, a dynamical system has the shadowing property if every approximate orbit (a so-called pseudo . . .

     

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