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Pullback exponential attractors for nonautonomous equations. Part II: Applications to reaction-diffusion systems.
J. Math. Anal. Appl. 381, 766-780 (2011)
The existence of a pullback exponential attractor being a family of compact and positively invariant sets with a uniform bound on their fractal dimension which at a uniform exponential rate pullback attract bounded subsets of the phase space under the evolution process is proved for the nonautonomous logistic equation and a system of reaction-diffusion equations with time-dependent external forces including the case of the FitzHugh-Nagumo system.
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Publikationstyp
Artikel: Journalartikel
Dokumenttyp
Wissenschaftlicher Artikel
Schlagwörter
Exponential attractor; Pullback attractor; Fractal dimension; Nonautonomous dynamical systems; Reaction-diffusion equations
ISSN (print) / ISBN
0022-247X
e-ISSN
1096-0813
Quellenangaben
Band: 381,
Heft: 2,
Seiten: 766-780
Verlag
Elsevier
Begutachtungsstatus
Peer reviewed
Institut(e)
Institute of Biomathematics and Biometry (IBB)