# Compact Global Chaotic Attractors of Discrete Control Systems

Nonautonomous Dynamical Systems (2014)

- Volume: 1, page 10-25, electronic only
- ISSN: 2353-0626

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topDavid Cheban. "Compact Global Chaotic Attractors of Discrete Control Systems." Nonautonomous Dynamical Systems 1 (2014): 10-25, electronic only. <http://eudml.org/doc/266954>.

@article{DavidCheban2014,

abstract = {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).},

author = {David Cheban},

journal = {Nonautonomous Dynamical Systems},

keywords = {Global attractor; set-valued dynamical system; control system; chaotic attractor; collage; cocycle; global attractor},

language = {eng},

pages = {10-25, electronic only},

title = {Compact Global Chaotic Attractors of Discrete Control Systems},

url = {http://eudml.org/doc/266954},

volume = {1},

year = {2014},

}

TY - JOUR

AU - David Cheban

TI - Compact Global Chaotic Attractors of Discrete Control Systems

JO - Nonautonomous Dynamical Systems

PY - 2014

VL - 1

SP - 10

EP - 25, electronic only

AB - 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).

LA - eng

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

UR - http://eudml.org/doc/266954

ER -

## References

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