具有非线性阻尼的强阻尼格系的吸引子

2018 IEEE 15th International Conference on e-Business Engineering (ICEBE) Pub Date : 2018-10-01 DOI:10.1109/ICEBE.2018.00057

Hongyan Li, Rui Zhang

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引用次数: 0

摘要

证明了具有阻尼力q(u_i) u_i+β(u_i)的强阻尼格系的全局吸引子的存在性，其中耦合算子是非负定对称的，并得到了全局吸引子的上Hausdorff维数，该维数在大阻尼时保持有界。

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Attractor for a Strongly Damped Lattice System with Nonlinear Damping

We prove the existence of a global attractor of a strongly damped lattice system with the damped force q(u_i) u_i+β(u_i) where the coupled operator is nonnegative definite symmetric and obtain an upper Hausdorff dimension of the global attractor, which keeps bounded for large damping.

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2018 IEEE 15th International Conference on e-Business Engineering (ICEBE)

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