Results 261 to 270 of about 960,683 (280)

Amplitude equations for non-linear Rayleigh waves

Physics Letters A, 2001
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New Amplitude Equations for Thin Elastic Rods

Physical Review Letters, 1996
The stability of twisted straight rods is described within the framework of the time dependent Kirchhoff equations for thin elastic filaments. A perturbation method is developed to study the linear stability of this problem and find the dispersion relations. A nonlinear analysis results in a new amplitude equation, describing the deformation of the rod
, Goriely, , Tabor
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Amplitude Equations for Systems with Competing Instabilities

SIAM Journal on Applied Mathematics, 1983
The paper described a method for extracting amplitude equations from systems governed by PDE when such systems are near to points of bifurcation. It is supposed that the PDE is of the form \[ (1)\quad \partial_ tU=M_{\lambda}U+N_{\lambda}(U). \] Here t is the time, \(\lambda =(\lambda_ 1,...,\lambda_ p)\) represents a set of parameters and \(U=(U_ 1,...
Coullet, P. H., Spiegel, E. A.
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Probability amplitude structure of Fokker–Plank equation

Physica A: Statistical Mechanics and its Applications, 2003
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Torres, M. S. jun., Figueiredo, J. M. A.
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AMPLITUDE EQUATIONS AND PATTERN FORMATION

2008
Abstract This chapter begins with a discussion of reduced dynamics and amplitude equations. It then discusses the generic aspects of pattern selection and stability, the effect of external fields; group velocity, convective, and absolute instabilities; and pattern formation and front propagation.
Nasr M. Ghoniem, Daniel D. Walgraef
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Amplitude equation for modulated Rayleigh-Bénard convection

Physical Review A, 1991
Using a systematic perturbation expansion for slightly supercritical driving, the equation for the slow spatiotemporal variation of the amplitude of convective rolls is derived when the temperatures of the horizontal fluid boundaries are modulated harmonically in time.
, Schmitt, , Lücke
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Convection in Oldroyd-B fluid: Amplitude equation

Chaos, Solitons & Fractals, 1995
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Martinez-Mardones, J., Tiemann, R., Zeller, W.   +2 more
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Amplitude Equations and Their Applications

1998
In the preceding chapter, we saw how in the neighborhood of a bifurcation point at which a new spatial pattern arises, the equation describing the system in question can be reduced to a relatively simple form we refer to as an amplitude equation.
Hazime Mori, Yoshiki Kuramoto
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String amplitudes as solutions to soliton equations

Physical Review D, 1987
Tree and one-loop bosonic string amplitudes are shown to be given by solutions to the Kadomtsev-Petviashvili hierarchy of soliton equations whose solutions are completely known. Generalization to all Polyakov strings is discussed.
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Finite Amplitude Instabilities of Partial Difference Equations

SIAM Journal on Applied Mathematics, 1977
A theory is developed to account for the effect of finite amplitude perturbations on the stability of partial difference equations. A simple criterion is derived for determining whether finite amplitude perturbations can cause instabilities in the difference equation for values of the time step parameter below that predicted by linear theory. We find a
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