sigma11-006. 398KB Jun 04 2011 12:10:47 AM
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We solve completely these cyclic singular cosmologies at the level of their zero modes showing that an acceptable shift parameter should be purely imaginary, which in turn introduces
In addition, we show that the explicit information supplied by the special function recurrence relations allows us to prove, for the first time in 4 cases, that the symmetry
For cases where numerical analysis is required, it is also relatively straightforward to construct graphs of the phase-space curves using the series solutions, augmented by
The St¨ackel transform is applied to the geodesic motion on Euclidean space, through the harmonic oscillator and Kepler–Coloumb potentials, in order to obtain ma-
The fluid limits and large deviations asymptotics presented here show new phenomenon that we believe are shared by many processes similar to the Yule process, including random
We consider a system of nonlinear partial differential equations with stochastic dynamical boundary conditions that arises in models of neurophysiology for the diffusion of
We show how an initial-boundary problems for a 4-th order parabolic differential equation can be represented by BP P with various boundary conditions for the two particles:
In the present paper, some characteristic examples of the symmetries are presented for var- ious plasma theory models: electron magnetohydrodynamics, collisionless electron plasma