Global attractors of non-autonomous quasi-homogeneous dynamical systems.
Upper semicontinuity of attractors of non-autonomous dynamical systems for small perturbations.
Invariant manifolds and almost automorphic solutions of second-order monotone equations
Asymptotic stability of switching systems.
Heteroclinic points of multi-dimensional dynamical systems.
Compact Global Chaotic Attractors of Discrete Control Systems
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...
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