Publication: Nonlocal constants of motion and first integrals in higher-order Lagrangian Dynamics
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Date
2021
Authors
Journal Title
Journal ISSN
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Publisher
EUT Edizioni Università di Trieste
Abstract
We generalize the theory of nonlocal constants of motion to higher-order Lagrangian Dynamics. Novel first integrals are discovered, standard noetherian results are recovered. Applications include Pais-Uhlenbeck oscillator and models of modified gravity.
Description
Keywords
higher-order Lagrangian, nonlocal constant, first integral, Pais-Uhlenbeck oscillator, modified gravity.
Citation
Mattia Scomparin, "Nonlocal constants of motion and first integrals in higher-order Lagrangian Dynamics" in: "Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.53 (2021)", EUT Edizioni Università di Trieste, Trieste, 2021, pp. 17