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ebsd2021:tema3 [2021/08/31 15:18] escolaebsd2021:tema3 [2021/08/31 22:38] (current) escola
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-**Jacobi equation in Hamiltonian dynamics**+**Tema 3: Jacobi equation in Hamiltonian dynamics**
  
 Recall that the Jacobi equation is defined by the equation $J''+R(\gamma',J) Recall that the Jacobi equation is defined by the equation $J''+R(\gamma',J)
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 Therefore,  Therefore, 
 \begin{align*} \begin{align*}
-\dot{(B^{-1}A)}=-B^{-1}\dot{B}B^{-1}A+B^{-1}\dot{A}=B^{-1}(B^{-1})^TB(a)^T+\dot{\widehat{B^{-1}A}}=-B^{-1}\dot{B}B^{-1}A+B^{-1}\dot{A}=B^{-1}(B^{-1})^TB(a)^T
 \end{align*} \end{align*}
 and so and so
ebsd2021/tema3.1630433906.txt.gz · Last modified: 2021/08/31 15:18 by escola