Fractal Dimension of Attractors for a Stochastic Wave Equation with Nonlinear Damping and White Noise

Xiaoming Fan; Yaguang Wang

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Fractal Dimension of Attractors for a Stochastic Wave Equation with Nonlinear Damping and White Noise

机译：具有非线性阻尼和白噪声的随机波动方程吸引子的分形维数

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摘要

We investigate the existence of compact random attractors and their fractal dimension for the random dynamical system associated with a stochastic wave equation with nonlinear damping and white noise.

机译：我们研究了与带有非线性阻尼和白噪声的随机波动方程相关的随机动力系统的紧致随机吸引子的存在及其分形维数。

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来源
《Stochastic Analysis and Applications》 |2007年第2期|共16页
作者
Xiaoming Fan; Yaguang Wang;
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正文语种 eng
中图分类概率论与数理统计;
关键词
Fractal dimension; Random attractors; Wave equation; White noise;

机译：分形维数;随机吸引子;波动方程;白噪声;

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专利

1. Fractal Dimension of Attractors for a Stochastic Wave Equation with Nonlinear Damping and White Noise [J] . Xiaoming Fan, Yaguang Wang Stochastic Analysis and Applications . 2007,第2期

机译：具有非线性阻尼和白噪声的随机波动方程吸引子的分形维数
2. FRACTAL DIMENSION OF RANDOM ATTRACTOR FOR STOCHASTIC NON-AUTONOMOUS DAMPED WAVE EQUATION WITH LINEAR MULTIPLICATIVE WHITE NOISE [J] . SHENGFAN ZHOU, MIN ZHAO Discrete and continuous dynamical systems . 2016,第5期

机译：具有线性乘性白噪声的随机非自治阻尼波方程的吸引子的分形维数
3. Random attractors for non-autonomous stochastic wave equations with nonlinear damping and white noise [J] . Yao Huazhen, Zhang Jianwen Advances in Difference Equations . 2020,第a期

机译：非自动随机波方程随机吸引力，非线性阻尼和白噪声
4. Kolmogorov's e-Entropyfor a Class of Invariant Sets and Dimension of Global Attractors for Second-Order Evolution Equations with Nonlinear Damping [C] . Igor Chueshov, Irena Lasiecka Conference on Control Theory for Partial Differential Equations . 2005

机译：Kolmogorov的E-entropy是一类不变集和全局吸引子的尺寸，用于具有非线性阻尼的二阶进化方程
5. Algorithms for determination of embedding dimensions for nonlinear analysis of chaotic time series and a study of fractal dimensions and predictabilities of weather attractors over the Eastern United States. [D] . Gao, Shangzuo. 1996

机译：用于确定混沌时间序列非线性分析的嵌入维数的算法，以及美国东部天气吸引子的分形维数和可预测性的研究。
6. Rogue waves in the two dimensional nonlocal nonlinear Schrödinger equation and nonlocal Klein-Gordon equation [O] . Wei Liu, Jing Zhang, Xiliang Li 2012

机译：二维非局部非线性Schrödinger方程和非局部Klein-Gordon方程中的无赖波
7. Random attractors for non-autonomous stochastic wave equations with nonlinear damping and white noise [O] . Huazhen Yao, Jianwen Zhang 2020

机译：非自动随机波方程随机吸引力，非线性阻尼和白噪声

Fractal Dimension of Attractors for a Stochastic Wave Equation with Nonlinear Damping and White Noise

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