A pedagogical exposition of the Hamilton-Ostrogradski formalism applied to the Pais-Uhlenbeck model and coupled oscillators for advanced classical mechanics courses.
(30) The Hamiltonian can be obtained from Eq.(12): H=P 1Q2 + P2 2 2 − 1 2 (ω2 1 +ω 2 2)Q2 2 +ω 2 1ω2 2Q2 1 .(31) It is important to emphasize that the Hamiltonian of Eq
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Introduction to Higher Order Classical Dynamics: Pais-Uhlenbeck Model and Coupled Oscillators
A pedagogical exposition of the Hamilton-Ostrogradski formalism applied to the Pais-Uhlenbeck model and coupled oscillators for advanced classical mechanics courses.