On Ginzburg-landau Equation Coupled with a Mean Field: Finite Domain Case
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چکیده
We consider the following system of equations 8 < : A(x; t) has period L where > > 0. For any nite L, we completely classify the existence of solutions with minimal period and the stability and instability of all periodic solutions. 1. Introduction In this paper, we continue our study on the following amplitude equations which arise when expanding the problem in terms of fast and slow (or envelope) variables near a critical set of parameter values that lead to supercritical bifurcation:
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We consider the following system of equations 8 < : A(x; t) has period L where > > 0. For any nite L, we completely classify the existence of solutions with minimal period L and determine the stability and instability of all such solutions. 1. Introduction In this paper, we continue our study on the following amplitude equations proposed by P.C. Matthews and S.M. Cox 4], 8] which arise in therm...
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تاریخ انتشار 2007