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 obtain...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.展开更多
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
文摘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.