Results 11 to 20 of about 7,006 (279)
An Expansion Term In Hamilton's Equations [PDF]
, 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 $- (\delta H_{c})/(\delta q)=\dot{\pi}+\Theta\pi,
Adkins C. J. +9 more
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Stochastic chaos: An analog of quantum chaos [PDF]
, 1993 Some intriging connections between the properties of nonlinear noise driven systems and the nonlinear dynamics of a particular set of Hamilton's equation are discussed.
Millonas, Mark M.
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Hamilton's equations for a fluid membrane [PDF]
, 2005 Consider a homogenous fluid membrane described by the Helfrich-Canham energy, quadratic in the mean curvature of the membrane surface. The shape equation that determines equilibrium configurations is fourth order in derivatives and cubic in the mean ...
Capovilla, Riccardo +2 more
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Fluids, 2022 Hamiltonian variational principles have provided, since the 1960s, the means of developing very successful wave theories for nonlinear free-surface flows, under the assumption of irrotationality.
Constantinos P. Mavroeidis +1 more
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, 2014 We construct a discrete form of Hamilton's Ricci flow (RF) equations for a d-dimensional piecewise flat simplicial geometry, S. These new algebraic equations are derived using the discrete formulation of Einstein's theory of general relativity known as ...
David Gu +6 more
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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
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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
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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
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Subthreshold dynamics of a single neuron from a Hamiltonian perspective [PDF]
, 2008 We use Hamilton's equations of classical mechanics to investigate the behavior of a cortical neuron on the approach to an action potential. We use a two-component dynamic model of a single neuron, due to Wilson, with added noise inputs.
Steyn-Ross, D. Alistair +1 more
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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
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