环形区域中的自组织流体动力学：模态分析和非线性效应
Self-organized Hydrodynamics in an Annular Domain: Modal Analysis and Nonlinear Effects
摘要：
在环形区域上研究了集体行为的自组织流体动力学模型。在理想极化稳态附近对线性化模型进行了模态分析。结果表明，该模型只有可数个纯虚模，因此是稳定的。低阶模式的数值计算。对完全非线性模型进行了数值求解，分析了非线性模式耦合。最后，模态分解的非线性模型的复杂特征的分析的有效性进行了证明。
英文摘要：
The Self-Organized Hydrodynamics model of collective behavior is studied on an annular domain. A modal analysis of the linearized model around a perfectly polarized steady-state is conducted. It shows that the model has only pure imaginary modes in countable number and is hence stable. Numerical computations of the low-order modes are provided. The fully non-linear model is numerically solved and nonlinear mode-coupling is then analyzed. Finally, the efficiency of the modal decomposition to analyze the complex features of the nonlinear model is demonstrated.
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