Compact Global Chaotic Attractors of Discrete Control Systems

• Autorzy: David Cheban
• Języki publikacji: EN

Abstrakty

EN

The paper is dedicated to the study of the problem of existence of compact global chaotic attractors of discrete control systems and to the description of its structure. We consider so called switched systems with discrete time xn+1 = fν(n)(xn), where ν : ℤ+ ⃗ {1,2,...,m}. If m ≥ 2 we give sufficient conditions (the family M := {f1,f2,...,fm} of functions is contracting in the extended sense) for the existence of a compact global chaotic attractor. We study this problem in the framework of non-autonomous dynamical systems (cocycles).

Słowa kluczowe

EN

Global attractor; set-valued dynamical system; control system; chaotic attractor; collage; cocycle

• Wydawca: De Gruyter Open
• Czasopismo: Nonautonomous Dynamical Systems
• Rocznik: 2014
• Tom: 1

Daty

otrzymano

2012-10-26

zaakceptowano

2013-06-10

online

2013-07-03

Twórcy

autor

David Cheban

• State University of Moldova
  Department of Mathematics and Informatics
  A. Mateevich Street 60
  MD–2009 Chi³in˘au, Moldova

Bibliografia

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Identyfikatory

DOI

10.2478/msds-2013-0002