Kolmogorov's e-Entropyfor a Class of Invariant Sets and Dimension of Global Attractors for Second-Order Evolution Equations with Nonlinear Damping

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

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This chapter contains several abstract results related to the finite fractal dimension of invariant compact sets arising in the study of global attractors for second-order (in time) evolution equations with nonlinear damping.

机译：本章包含几种摘要结果，其与非线性（时间速率）进化方程的全球吸引子研究中出现的不变小组的有限分形维数相关的摘要结果。

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《Conference on Control Theory for Partial Differential Equations》|2005年||共19页
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Igor Chueshov; Irena Lasiecka;
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中图分类 O175.2-532;
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专利

1. Attractors for Second-Order Evolution Equations with a Nonlinear Damping [J] . Igor Chueshov, Irena Lasiecka Journal of dynamics and differential equations . 2004,第2期

机译：具有非线性阻尼的二阶发展方程的吸引子
2. FINITE DIMENSIONAL BEHAVIOR OF GLOBAL ATTRACTORS FOR WEAKLY DAMPED NONLINEAR SCHRODINGER-BOUSSINESQ EQUATIONS [J] . Guo BL., Chen FX. Physica, D. Nonlinear phenomena . 1996,第1a2期

机译：弱阻尼非线性Schrodinger-Boussinesq方程整体吸引子的有限维行为
3. Robust exponential attractors for a class of non-autonomous semi-linear second-order evolution equation with memory and critical nonlinearity [J] . Zhang Fang-hong, Wang Shan-lin, Wang Li Applicable Analysis . 2019,第5a8期

机译：具有内存和关键非线性的一类非自主半线性二阶进化方程的强大指数吸引子
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. Computer-assisted studies and visualization of nonlinear phenomena: Two-dimensional invariant manifolds, global bifurcations, and robustness of global attractors. [D] . Johnson, Mark Edward. 1998

机译：非线性现象的计算机辅助研究和可视化：二维不变流形，整体分叉和整体吸引子的鲁棒性。
6. Symmetry reduction and exact solutions of two higher-dimensional nonlinear evolution equations [O] . Yongyi Gu, Jianming Qi -1

机译：两个高维非线性发展方程的对称约化和精确解
7. DIMENSION OF THE GLOBAL ATTRACTOR FOR DAMPED NONLINEAR WAVE EQUATIONS [O] . Zhou Shengfan, Communicated Michael H 2010

机译：阻尼非线性波方程全局吸引子的维数

Kolmogorov's e-Entropyfor a Class of Invariant Sets and Dimension of Global Attractors for Second-Order Evolution Equations with Nonlinear Damping

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