Results 51 to 60 of about 134,686 (230)
Discrete Dirac Structures and Implicit Discrete Lagrangian and Hamiltonian Systems [PDF]
AIP Conference Proceedings, 2010 We present discrete analogues of Dirac structures and the Tulczyjew’s triple by considering the geometry of symplectic maps and their associated generating functions. We demonstrate that this framework provides a means of deriving discrete analogues of implicit Lagrangian and Hamiltonian systems.
Melvin Leok +5 more
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Provenance of classical Hamiltonian time crystals
Journal of High Energy Physics, 2020 Classical Hamiltonian systems with conserved charges and those with constraints often describe dynamics on a pre-symplectic manifold. Here we show that a pre-symplectic manifold is also the proper stage to describe autonomous energy conserving ...
Anton Alekseev, Jin Dai, Antti J. Niemi
doaj +1 more source
Discrete Hamilton-Jacobi Theory
, 2011 We develop a discrete analogue of Hamilton-Jacobi theory in the framework of discrete Hamiltonian mechanics. The resulting discrete Hamilton-Jacobi equation is discrete only in time.
Anthony M. Bloch +3 more
core +2 more sources
Advanced Intelligent Systems, EarlyView.This paper proposes a novel control framework to ensure safety of a robotic swarm. A feedback optimization controller is capable of driving the swarm toward a target density while keeping risk‐zone exposure below a safety threshold. Theory and experiments show how safety is more effectively achieved for sparsely connected swarms.
Longchen Niu, Gennaro Notomista
wiley +1 more source
Equivalence of Discrete Euler Equations and Discrete Hamiltonian Systems
Journal of Mathematical Analysis and Applications, 1993 The following results are proved: (i) Under certain solvability hypotheses, discrete Hamiltonian systems of the form \[ \Delta y (n-1) = H_ z (n, y(n), z(n-1)),\;\Delta z (n-1) = H_ y (n, y (n), z (n- 1))\tag{1} \] are equivalent to the discrete Euler equation \(f_ y (n, y_ n, \Delta y_{n-1})=\Delta f_ r (n, y_ n, \Delta y_{n-1})\) (here \(r\) denotes ...
openaire +1 more source
J-Self-Adjoint Extensions for a Class of Discrete Linear Hamiltonian Systems
Abstract and Applied Analysis, 2013 This paper is concerned with formally J-self-adjoint discrete linear Hamiltonian systems on finite or infinite intervals. The minimal and maximal subspaces are characterized, and the defect indices of the minimal subspaces are discussed.
Guojing Ren, Huaqing Sun
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Advanced Intelligent Systems, EarlyView.This study refines the Crystal Hamiltonian Graph Network to predict energies, structures, and lithium‐ion dynamics in halide electrolytes. By generating ordered structural models and using an iterative fine‐tuning workflow, we achieve near‐ab initio accuracy for phase stability and ionic transport predictions.
Jonas Böhm, Aurélie Champagne
wiley +1 more source
Advanced Intelligent Systems, EarlyView.Physics‐Informed Neural Networks (PINNs) provide a framework for integrating physical laws with data. However, their application to Prognostics and Health Management (PHM) remains constrained by the limited uncertainty quantification (UQ) capabilities.
Ibai Ramirez +4 more
wiley +1 more source
New Results for Second Order Discrete Hamiltonian Systems
Taiwanese Journal of Mathematics, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Huiwen +3 more
openaire +3 more sources
Hamiltonian mechanics on discrete manifolds [PDF]
, 2004 The mathematical/geometric structure of discrete models of systems, whether these models are obtained after discretization of a smooth system or as a direct result of modeling at the discrete level, have not been studied much.
Clemente Gallardo, J. +2 more
core +5 more sources