Journal
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Volume 32, Issue 6, Pages 2079-2088Publisher
AMER INST MATHEMATICAL SCIENCES
DOI: 10.3934/dcds.2012.32.2079
Keywords
Semigroups; absorbing and attracting sets; global attractors; invariant sets
Categories
Funding
- Russian Foundation of Basic Researches [11-01-00339, 10-01-00293]
- Italian GNAMPA
- Italian PRIN
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For a semigroup S(t) : X -> X acting on a metric space (X, d), we give a notion of global attractor based only on the minimality with respect to the attraction property. Such an attractor is shown to be invariant whenever S(t) is asymptotically closed. As a byproduct, we generalize earlier results on the existence of global attractors in the classical sense.
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