Lectures on the free period Lagrangian action functional |
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Authors: | Alberto Abbondandolo |
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Institution: | 1. Ruhr Universit?t Bochum Fakult?t für Mathematik, Geb?ude NA 4/33, D-44801, Bochum, Germany
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Abstract: | In this expository article we study the question of the existence of periodic orbits of prescribed energy for classical Hamiltonian systems on compact configuration spaces.We use a variational approach, by studying how the behavior of the free period Lagrangian action functional changes when the energy crosses certain values, known as the Mañé critical values. |
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