Results 1 to 10 of about 1,058 (137)
On the Numerical Integration of the Fokker–Planck Equation Driven by a Mechanical Force and the Bismut–Elworthy–Li Formula [PDF]
EntropyOptimal control theory aims to find an optimal protocol to steer a system between assigned boundary conditions while minimizing a given cost functional in finite time.
Julia Sanders +1 more
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Analyzing Riemann-Liouville constraints in second-order Lagrangian fractional electrodynamic models. [PDF]
PLoS ONEThis study used second-order fractional derivatives to constrain singular Lagrangians to construct comprehensive Hamilton-Dirac equations. Notable contributions include resolving the difficulties associated with fractional derivatives.
Yazen M Alawaideh +2 more
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The Hamilton–Jacobi Theory for Contact Hamiltonian Systems
Mathematics, 2021 The aim of this paper is to develop a Hamilton–Jacobi theory for contact Hamiltonian systems. We find several forms for a suitable Hamilton–Jacobi equation accordingly to the Hamiltonian and the evolution vector fields for a given Hamiltonian function ...
Manuel de León +2 more
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Extended Hamilton–Jacobi Theory, Symmetries and Integrability by Quadratures
Mathematics, 2021 In this paper, we study the extended Hamilton–Jacobi Theory in the context of dynamical systems with symmetries. Given an action of a Lie group G on a manifold M and a G-invariant vector field X on M, we construct complete solutions of the Hamilton ...
Sergio Grillo +2 more
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Frontiers in Physics, 2023 In this work, we present two finite-dimensional Lie–Poisson Hamiltonian systems associated with the Hirota–Satsuma modified Boussinesq equation by using the nonlinearization method. Moreover, the separation of variables on the common level set of Casimir
Xue Geng, Dianlou Du, Xianguo Geng
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Inverse Optimal-Based Attitude Control for Fixed-Wing Unmanned Aerial Vehicles
IEEE Access, 2023 This article presents a novel design of an attitude control system for fixed-wing unmanned aerial vehicles (UAV) based on inverse optimal control theory.
Nhat-Minh Le-Phan +3 more
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The Hamilton-Jacobi equation and holographic renormalization group flows on sphere
Journal of High Energy Physics, 2020 We study the Hamilton-Jacobi formulation of effective mechanical actions associated with holographic renormalization group flows when the field theory is put on the sphere and mass terms are turned on.
Nakwoo Kim, Se-Jin Kim
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Mathematics, 2021 This work is devoted to review the modern geometric description of the Lagrangian and Hamiltonian formalisms of the Hamilton–Jacobi theory. The relation with the “classical” Hamiltonian approach using canonical transformations is also analyzed ...
Narciso Román-Roy
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Covariant GUP Deformed Hamilton-Jacobi Method
Advances in High Energy Physics, 2017 We first briefly revisit the original Hamilton-Jacobi method and show that the Hamilton-Jacobi equation for the action I of tunneling of a fermionic particle from a charged black hole can be written in the same form of that for a scalar particle.
Benrong Mu, Peng Wang, Haitang Yang
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Hamiltonian approach to GR – Part 1: covariant theory of classical gravity
European Physical Journal C: Particles and Fields, 2017 A challenging issue in General Relativity concerns the determination of the manifestly covariant continuum Hamiltonian structure underlying the Einstein field equations and the related formulation of the corresponding covariant Hamilton–Jacobi theory ...
Claudio Cremaschini, Massimo Tessarotto
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