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The shadowing chain lemma for singular Hamiltonian systems involving strong forces
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Rendiconti di Matematica e delle Sue Applicazioni, 1995 The aim of this article is to study the existence of heteroclinic orbits for second order Hamiltonian systems \[ D_t \dot x (t) + \nabla V \bigl( t,x (t) \bigr) = 0, \tag{1} \] where \(x(t) \in {\mathcal M}\), \(({\mathcal M}, \langle \cdot, \cdot \rangle)\) is a smooth, complete, connected finite-dimensional Riemannian manifold, \(\dot x\) is the ...
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