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Update index.md
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ocots authored Jul 5, 2024
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It aims to provide tools to solve [mathematical flows](https://en.wikipedia.org/w/index.php?title=Flow_(mathematics)&oldid=1147546136#Flows_of_vector_fields_on_manifolds) of vector fields, and in particular [Hamiltonian vector fields](https://en.wikipedia.org/w/index.php?title=Hamiltonian_vector_field&oldid=1065470192) directly from the definition of the Hamiltonian, using automatic differentiation to construct the assiocated Hamiltonian vector field.

The flow is then computed thanks to [OrdinaryDiffEq.jl](https://docs.sciml.ai/DiffEqDocs/stable/) package.
The flow is then computed thanks to [OrdinaryDiffEq.jl](https://docs.sciml.ai/DiffEqDocs/stable/) package.

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