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扩散驱动的不稳定性与布鲁塞尔系统中的霍普夫分岔复制

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李明、王明
应用数学与力学，2008年
施普林格
利用霍普夫分岔定理研究了布鲁塞尔常微分方程（ODE）模型的霍普夫分岔关系及其对应的偏微分方程（PDE）模型。通过应用正规形理论和中心流形定理，讨论了霍普夫分岔周期解的稳定性。当参数满足某些条件时，空间均匀平衡解和空间均匀周期解变得不稳定。我们的结果表明，如果参数被正确选择......

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