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An algebraic approach to discrete mechanics

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Publication:1330305
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DOI10.1007/BF00761712zbMath0805.58031OpenAlexW2132676772WikidataQ62443667 ScholiaQ62443667MaRDI QIDQ1330305

John C. Baez, James W. Gilliam

Publication date: 18 July 1994

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00761712

zbMATH Keywords

symplectic structureNoether's theoremdiscrete mechanics


Mathematics Subject Classification ID

Topological dynamics (37B99) Lagrange's equations (70H03)


Related Items

Geometric integrators and nonholonomic mechanics, Asynchronous collision integrators: Explicit treatment of unilateral contact with friction and nodal restraints, Quantum circuit dynamics via path integrals: Is there a classical action for discrete-time paths?, On the complete integrability of nonlinear dynamical systems on functional manifolds within the gradient-holonomic approach, A discrete solution for the paradox of Achilles and the tortoise, A discrete nonlinear Schrödinger-type hierarchy, its finite-dimensional reduction analysis, and the numerical integration scheme



Cites Work

  • p-adic dynamics
  • Discrete Lagrange's equations and canonical equations based on the principle of least action
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