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FINITE DIMENSION OF GLOBAL ATTRACTORS FOR DISSIPATIVE EQUATIONS GOVERNING MODULATED WAVE 被引量:1

FINITE DIMENSION OF GLOBAL ATTRACTORS FOR DISSIPATIVE EQUATIONS GOVERNING MODULATED WAVE
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摘要 The finite dimension of the global attractors for the systems of the perturbed and unperturbed dissipative Hamiltonian amplitude equations governing modulated wave are investigated.An interesting result is also obtained that the upper bound of the dimension of the global attractor for the perturbed equation is independent of ε. The finite dimension of the global attractors for the systems of the perturbed and unperturbed dissipative Hamiltonian amplitude equations governing modulated wave are investigated.An interesting result is also obtained that the upper bound of the dimension of the global attractor for the perturbed equation is independent of ε.
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2003年第4期421-430,共10页 高校应用数学学报(英文版)(B辑)
基金 Supported Partially by the National Natural Science Foundation of China ( 1 0 1 31 0 5 0 ) ,theEducation Ministry of China and Shanghai Science and Technology Committee( 0 3QMH1 40 7)Supported by the National Natural Science Foundation of China( 1 986
关键词 Hausdorff and fractal dimension Frechet differential exterior product coercive Hausdorff and fractal dimension, Frechet differential, exterior product, coercive
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