Finite Dimension of Global Attractor of Nonlinear Strain Waves in Elastic Waveguides  

Finite Dimension of Global Attractor of Nonlinear Strain Waves in Elastic Waveguides

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作  者:Dacai MA and Murong JIANG(Department of Mathematics, Shangrao Teacher’s College, Shangrao 334000,China)(Department of Mathematics, Yunnan University, Kunming 650091, China)E-mail: jemail@ynu.edu.cn 

出  处:《Communications in Nonlinear Science and Numerical Simulation》1998年第3期173-176,共4页非线性科学与数值模拟通讯(英文版)

摘  要:Consider herein are the finite dimension of global attractor of nonlinearstrain waves in elastic waveguides. By constructing two appropriate bounded coerciveguadratic forms and analysis of evolution of volume in E1 space, the finiteness of theHausdorff and fractal dimensions of the attractors is obtained.Consider herein are the finite dimension of global attractor of nonlinearstrain waves in elastic waveguides. By constructing two appropriate bounded coerciveguadratic forms and analysis of evolution of volume in E1 space, the finiteness of theHausdorff and fractal dimensions of the attractors is obtained.

关 键 词:strain wave ATTRACTOR Hausdorff and fractal dimensions 

分 类 号:O175.29[理学—数学]

 

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