论文标题
部分可观测时空混沌系统的无模型预测
Monotonicity of the period map for the equation $-φ''+φ-φ^{k}=0$
论文作者
论文摘要
在本文中，我们根据方程的某些周期解决方案的能量水平$-φ''+φ-φ-φ^{k} = 0 $建立了周期图的单调性，其中$ k> 1 $是一个实数。我们提出了一种新的方法来证明这种属性，利用相应的线性化操作员的光谱信息围绕与浮雕理论相关的定期解决方案和工具。
In this paper, we establish the monotonicity of the period map in terms of the energy levels for certain periodic solutions of the equation $-φ''+φ-φ^{k}=0$, where $k>1$ is a real number. We present a new approach to demonstrate this property, utilizing spectral information of the corresponding linearized operator around the periodic solution and tools related to Floquet theory.
