The second variation formula of vertical energy functional for a submersion between Riemannian manifolds is calculated with a simple and direct manner.

对于黎曼流形的浸没建立了垂直能量泛函的二阶变分公式，研究强垂直调和映射的稳定性。

youdao

In this paper we consider second order nonlinear terms, set up more precise dynamic system's model and derive the computation formula of terminal perturbation deviation by state variation.

本文考虑到二阶非线性项，建立起更加精密的系统模型，推导出利用状态变分计算终端干扰偏差的公式。

youdao