Results 271 to 280 of about 90,190 (300)

Intrinsic variational equations in three dimensions

Celestial Mechanics, 1981
The variational equations along an orbit in a conservative dynamic system with three degrees of freedom may be separated into (i) a linear system of order four involving only the normal and binormal displacements and (ii) a quadrature to produce the tangential displacement.
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Intrinsic characterisation of orthogonal R separation for Laplace equations

Journal of Physics A: Mathematical and General, 1982
Gives a coordinate-free characterisation of R separation for the Laplace equation on a pseudo-Riemannian manifold in terms of commuting conformal symmetry operators. The coordinates can be computed from a knowledge of the operators.
Kalnins, E. G., Miller, W. jun.
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Intrinsic localized modes as solitons of the discrete Hirota equation

Physical Review E, 1996
It is shown that intrinsic localized modes in a nonlinear lattice with a hard quartic nonlinearity are governed by the discrete Hirota equation. The requirement for the solution to be real results in a very restricted class of admissible soliton solutions corresponding to the localized excitations.
, Konotop, , Takeno
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Auto-calibration - Kruppa's Equations and the Intrinsic Parameters of a Camera

Procedings of the British Machine Vision Conference 1994, 1994
Auto-calibration may be defined as the process of finding the intrinsic parameters of a camera from real image data. Recent techniques for finding these parameters rely upon solving equations which relate the epipolar geometry of two camera positions with the intrinsic parameters, equations known as Kruppa's equations[4, 2].
S. D. Hippisley-Cox, John Porrill
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Intrinsic equations of motion in dynamical meteorology

Geofisica pura e applicata, 1951
Tangential and normal equations of horizontal motion along and normal to the characteristic lines (for example: stream lines, isobars, isotherms, etc.) are derived in general form. Then the later section of this paper is devoted to applications to natural coordinates and the coordinates chosen to lie parallel and normal to the isobars.
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On the intrinsic geometry of certain nonlinear equations: The sine-Gordon equation

Journal of Mathematical Physics, 1980
The classical relation between two-dimensional spaces of constant curvature and certain nonlinear partial differential equations is formulated in group-theoretic terms by means of the underlying semisimple isometry group. Rather than working with the metric and curvature in the given constant curvature space, it is then possible to consider the ...
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On Lotka--Volterra Equations with Identical Minimal Intrinsic Growth Rate

SIAM Journal on Applied Dynamical Systems, 2015
Summary: We investigate the long-run behavior of time-dependent Lotka-Volterra equations \[ (\mathrm{E}_{\phi}):\frac{dx_i}{dt}=x_i(1+\phi(t)+\sum_{j=1}^na_{ij}x_j), \quad i=1,\dots,n, \] on the positive orthant. It is proved that the system \((\mathrm{E}_{\phi})\) is decomposed into \((\mathrm{E}_0)\) and the logistic equation \[ (\mathrm{L}):\frac{dg}
Xiaojing Chen, Jifa Jiang, Lei Niu
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Intrinsic characterization of the variable separation in the Hamilton–Jacobi equation

Journal of Mathematical Physics, 1997
The nonorthogonal separation of variables in the Hamilton–Jacobi equation corresponding to a natural Hamiltonian H=12gijpipj+V, with a metric tensor of any signature, is intrinsically characterized by geometrical objects on the Riemannian configuration manifold: Killing vectors, Killing tensors, and Killing webs.
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Nonlinear aeroelastic stability analysis of a folding wing by using geometrically exact fully intrinsic beam equations

Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, 2023
Sayed Hossein Moravej Barzani, Hossein Shahverdi   +1 more
exaly  

Intrinsic filtering equations

1982 21st IEEE Conference on Decision and Control, 1982
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