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Dynamics on Bi-Lagrangian Structures and Cherry maps
We consider a bi-Lagrangian structure $(ω,\mathcal{F}_1,\mathcal{F}_2)$ on a manifold $M$; that is, $(M,ω,\mathcal{F}_1,\mathcal{F}_2)$ is a bi-Lagrangian manifold. We prolong bi-Lagrangian structures on $M$ and lift a given dynamics to its tangent and cotangent bundles in several ways. In some case
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