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Dynamical equation for polarization dispersion
Optics Letters, 1991Polarization dispersion in single-mode fiber that contains arbitrary birefringence is described through a vector differential equation. Monte-Carlo simulations using this equation show good agreement with experimental measurements in a randomly birefringent fiber and with a previously reported analytic expression for the length dependence of the ...
C D, Poole, J H, Winters, J A, Nagel
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The General Equations of Analytical Dynamics
Journal of Applied Mathematics and Mechanics, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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DYNAMICS OF LATTICE DIFFERENTIAL EQUATIONS
International Journal of Bifurcation and Chaos, 1996In 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 +2 more
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Robot dynamics: equations and algorithms
Proceedings 2000 ICRA. Millennium Conference. IEEE International Conference on Robotics and Automation. Symposia Proceedings (Cat. No.00CH37065), 2002This paper reviews some of the accomplishments in the field of robot dynamics research, from the development of the recursive Newton-Euler algorithm to the present day. Equations and algorithms are given for the most important dynamics computations, expressed in a common notation to facilitate their presentation and comparison.
Roy Featherstone, David E. Orin
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The Structure of Multibody Dynamics Equations
Journal of Guidance and Control, 1978Several 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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Dynamical symmetries of the Geodesic equation
International Journal of Theoretical Physics, 1983A 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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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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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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The geometric equation of dislocation dynamics
Czechoslovak Journal of Physics, 1962Recent advances in the continuum theory of dislocations have been achieved mainly in two directions: (1) the differential geometric (non-linear) theory of stationary dislocations, and (2) the formal linear dislocation dynamics. These two are unified here to form a differential geometric dynamical theory of continuous distributions of dislocations.
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Dynamics of the nonclassical diffusion equations
Asymptotic Analysis, 2008We 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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Dynamical Actuators for the Heat Equation
IFAC Proceedings Volumes, 1989Abstract We consider the transient heat equation in the moving domain D\B(t) with Dirichlet boundary conditions. B(t) modellizes a moving actuator on the boundary of which temperature is kept constant. We give necessary conditions for optimal trajectories following a Dynamic Programming approach.
P. Cannarsa, G. Da Prato, J.-P. Zolésio
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