Results 1 to 10 of about 188,624 (266)

The Structure of Multibody Dynamics Equations

Journal of Guidance and Control, 1978
Several alternative formulations for the dynamics of multibody systems are described. These alternatives include momentum and velocity formulations with decoupling or coupling of constraints. The presentation of equations is facilitated by the introduction of a path matrix and a reference matrix that describe the topology of the H-body configurations ...
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Efficient dynamical equations for gyrostats

Journal of Guidance, Control, and Dynamics, 2001
To formulate equations of motion, the analyst must choose constants that characterize the mass distribution of system components. Traditionally, one chooses as constants the mass of each particle and the mass and central inertia scalars of each rigid body.
Paul C. Mitiguy, Keith J. Reckdahl
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DYNAMICS OF LATTICE DIFFERENTIAL EQUATIONS

International Journal of Bifurcation and Chaos, 1996
In this paper recent work on the dynamics of lattice differential equations is surveyed. In particular, results on propagation failure and lattice induced anisotropy for traveling wave or plane wave solutions in higher space dimensions spatially discrete bistable reaction–diffusion systems are considered.
Chow, Shui-Nee, Mallet-Paret, John, Van Vleck, Erik S.   +2 more
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The Dynamical Equations

2005
Abstract Modern derivations of the fundamental equations for non-viscous fluids have an air of evidence. The fluid is divided into volume elements, and the acceleration of a volume element is equated to a force divided by a mass. The force on the element dτ is the sum of an external action fdτ (e.g. gravity) and of the resultant -( ▽P)dt
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Dynamics of the nonclassical diffusion equations

Asymptotic Analysis, 2008
We consider the dynamical behavior of the nonclassical diffusion equation with critical nonlinearity for both autonomous and nonautonomous cases. For the autonomous case, we obtain the existence of a global attractor when the forcing term only belongs to H −1 , this result simultaneously ...
Chunyou Sun, Meihua Yang
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Dynamics of a rational difference equation

Applied Mathematics and Computation, 2005
The authors investigate the periodic character, invariant intervals, oscillation and global stability of all positive solutions of the equation \[ {x_{n+1}=\frac{px_{n}+x_{n-k}}{q+x_{n-k}}~\;,~\;\;n=0,1,\dots,}\tag{*} \] where \(p\) and \(q\) and the initial conditions \(x_{-k},\dots,x_{0}\) are nonnegative real numbers.
Wan-Tong Li, Hong-Rui Sun
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Dynamical symmetries of the Geodesic equation

International Journal of Theoretical Physics, 1983
A class of dynamical symmetries for the Euler-Lagrange equations with the Lagrangian \(L=(1/2)g_{ab}\dot q^ a\dot q^ b\) is determined \((g_{ab}\) are components of Riemannian metric). This class consists of symmetries such that their natural projection onto the configuration manifold yields a vector field or is generated by a totally symmetric tensor ...
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New dynamical equation for cracks

Physical Review Letters, 1991
Summary: If a long-standing selection problem in brittle fracture is to be resolved, one must begin with dynamical equations suited to comparison with experiment. Such an equation is derived here in closed form by finding the energy flux to the tip of a slowly accelerating crack in a brittle strip.
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Dynamics of a rational difference equation

Applied Mathematics and Computation, 2006
Abstract In this note, we investigate the solution of the difference equation x n + 1 = x n - 1 a - x n - 1 x n , n = 0 , 1 , 2 , … , where x - 1 , x 0 ∈ R and a > 0. Moreover, we discuss the stability properties and semi-cycle behavior of this solution.
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On dynamic equations with deviating arguments

Applied Mathematics and Computation, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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