Results 11 to 20 of about 1,139,400 (279)
An expansion term in Hamilton's equations [PDF]
Europhysics Letters (EPL), 1999 For any given spacetime the choice of time coordinate is undetermined. A particular choice is the absolute time associated with a preferred vector field. Using the absolute time Hamilton's equations are $- (δH_{c})/(δq)=\dotπ+Θπ, $+ (δH_{c})/(δπ)=\dot{q}$, where $Θ= V^{a}_{.;a}$ is the expansion of the vector field.
M. D Roberts, M. D. Roberts
openaire +3 more sources
What is liquid? Lyapunov instability reveals symmetry-breaking irreversibilities hidden within Hamilton's many-body equations of motion [PDF]
Condensed Matter Physics, 2015 Typical Hamiltonian liquids display exponential "Lyapunov instability", also called "sensitive dependence on initial conditions". Although Hamilton's equations are thoroughly time-reversible, the forward and backward Lyapunov instabilities can differ ...
Wm.G. Hoover, C.G. Hoover
doaj +2 more sources
Hamilton's equations in the covariant teleparallel equivalent of general relativity
, 2023 We present Hamilton's equations for the teleparallel equivalent of general relativity (TEGR), which is a reformulation of general relativity based on a curvatureless, metric compatible, and torsionful connection. For this, we consider the Hamiltonian for
Pati, Laxmipriya +2 more
core +1 more source
Flight Loads Analysis with Inertially Coupled Equations of Motion [PDF]
, 2005 In this work an approach for simulation of a large passenger aircraft with high precision equations of motion and a new method of dynamic loads calculation is presented, which can be used for maneuver and gust loads analysis in the time domain. Equations
Christian Reschke, Reschke, Christian
core +1 more source
Hamilton–Jacobi equations [PDF]
, 2010 In this chapter we discuss numerical methods for the solution of general Hamilton-Jacobi equations of the form $${\phi _t} + H\left( {\nabla \phi } \right) = 0$$ (5.1) where H can be a function of both space and time. In three spatial dimensions, we can write $${\phi _t} + H\left( {{\phi _x},{\phi _y},{\phi _z}} \right) = 0$$ (5.2 ...
Stanley Osher, Ronald Fedkiw
+5 more sources
Symmetries of the Hamilton–Jacobi equation [PDF]
Journal of Mathematical Physics, 1977 We present a detailed discussion of the infinit esimal symmetries of the Hamilton-Jacobi equation (an arbitrary first order partial equation) Our presentation clucidates the role played by the characteristic system in determining the symmetries. We then specialize to the case of a free particle in one space and one time dimension, and study of local ...
Boyer, C.P., Kalnins, Ernie G.
openaire +3 more sources
Shock and Vibration, 1993 Early derivations of the equations of motion for single rigid bodies, single flexible bodies, and flexible multibody systems in terms of quasi-coordinates have been carried out in two stages.
L. Meirovitch
doaj +1 more source
Optimal control of systems with time delays
Vietnam Journal of Mechanics, 1992 Hamilton's canonical equations and an algorithm of the conjugate gradient method are developed for systems with time delays. The results are applied to one concrete system.
Nguyen Nhat Le
doaj +1 more source
Passivity Analysis of Nonlinear Euler-Bernoulli Beams [PDF]
Modeling, Identification and Control, 2002 The Lagrangian equations for distributed-parameter systems based on Hamilton's principle are developed. These equations are subsequently used to derive nonlinear models for beams. The passivity properties of the flexible mechanical systems based on their
Mehrdad P. Fard
doaj +1 more source
Hamilton’s gradient estimates and Liouville theorems for porous medium equations
Journal of Inequalities and Applications, 2016 Let ( M n , g ) $(M^{n}, g)$ be an n-dimensional Riemannian manifold. In this paper, we derive a local gradient estimate for positive solutions of the porous medium equation u t = Δ ( u p ) , 1 < p < 1 + 1 n − 1 , $$u_{t}=\Delta\bigl(u^{p}\bigr),\quad 1<
Guangyue Huang, Ruiwei Xu, Fanqi Zeng
doaj +1 more source