Name: Geodesics with Unbounded Speed on Fluctuating Surfaces
Creator: Clarke, Andrew Michael
Keywords: Non-autonomous perturbation, Àrees temàtiques de la UPC::Matemàtiques i estadística, Dynamical Systems (math.DS), 530, 01 natural sciences, Hamiltonian dynamics, 510, Fermi acceleration, Arnold diffusion, 0103 physical sciences

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 May 2024Embargo end date: 01 Jan 2023 English Publisher:Pleiades Publishing LtdJournal:Regular and Chaotic Dynamics, volume 29, pages 435-450 (issn: 1560-3547, eissn: 1468-4845,

Authors: Clarke, Andrew Michael;

doi: 10.1134/s1560354724030018 , 10.48550/arxiv.2304.13566

arXiv: http://arxiv.org/abs/2304.13566

handle: 2117/415428

Geodesics with Unbounded Speed on Fluctuating Surfaces

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Abstract

We construct $C^{\infty}$ time-periodic fluctuating surfaces in $\mathbb{R}^3$ such that the corresponding nonautonomous geodesic flow has orbits along which the energy, and thus the speed, goes to infinity.

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Keywords

Non-autonomous perturbation, Àrees temàtiques de la UPC::Matemàtiques i estadística, Dynamical Systems (math.DS), 530, Hamiltonian dynamics, 510, Fermi acceleration, Arnold diffusion, Geodesic flow, FOS: Mathematics, Sistemes hamiltonians, and nonholonomic systems, Hamiltonian systems, Mathematics - Dynamical Systems, Classificació AMS::37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems, Classificació AMS::37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, Lagrangian, contact

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