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INERTIAL FRACTAL SET AND FRACTAL STRUCTURE OF ATTRACTORS FOR THE GINZBURG-LANDAN EQUATION

INERTIAL FRACTAL SET AND FRACTAL STRUCTURE OF ATTRACTORS FOR THE GINZBURG-LANDAN EQUATION
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摘要 This paper proves that the Ginzburg-Landan partial differential equation admits an inertial fractal set whose fractal dimension is finite. Purthermore, We produce an exponentially approximating Sequence of localizing compact fractal sets and a fractal structure of the attractor. This paper proves that the Ginzburg-Landan partial differential equation admits an inertial fractal set whose fractal dimension is finite. Purthermore, We produce an exponentially approximating Sequence of localizing compact fractal sets and a fractal structure of the attractor.
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 1998年第4期396-403,共8页 应用数学学报(英文版)
关键词 Ginzburg-Landan INERTIAL FRACTAL LOCALIZATION structure Ginzburg-Landan, inertial, fractal, localization, structure
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参考文献1

  • 1Keith Promislow,Roger Temam. Localization and approximation of attractors for the Ginzburg-Landau equation[J] 1991,Journal of Dynamics and Differential Equations(4):491~514

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