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Geometric shadowing in slow–fast Hamiltonian systems

Geometric shadowing in slow–fast Hamiltonian systems

We study a class of slow–fast Hamiltonian systems with any finite number of degrees of freedom, but with at least one slow one and two fast ones. At ε = 0 the slow dynamics is frozen. We assume that the frozen system (i.e. the unperturbed fast dynamics) has families of …