Pullback Exponential Attractor for Second Order Nonautonomous Lattice System | Zendy

Shengfan Zhou | Zendy; Hong Chen | Zendy; Zhaojuan Wang | Zendy

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Pullback Exponential Attractor for Second Order Nonautonomous Lattice System

Author(s) -

Shengfan Zhou,

Hong Chen,

Zhaojuan Wang

Publication year - 2014

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2014/237027

Subject(s) - mathematics , attractor , exponential function , pullback , exponential decay , fractal dimension , lattice (music) , fractal , pullback attractor , exponential growth , order (exchange) , dimension (graph theory) , mathematical analysis , space (punctuation) , upper and lower bounds , pure mathematics , physics , computer science , finance , nuclear physics , acoustics , economics , operating system

We first present some sufficient conditions for the existence of a pullback exponential attractor for continuous process on the product space of the weighted spaces of infinite sequences. Then we prove the existence and continuity of a pullback exponential attractor for second order lattice system with time-dependent coupled coefficients in the weighted space of infinite sequences. Moreover, we obtain the upper bound of fractal dimension and attracting rate for the attractor

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