Relative Periodic Solutions of the Complex Ginzburg--Landau Equation
نویسندگان
چکیده
منابع مشابه
Relative Periodic Solutions of the Complex Ginzburg-Landau Equation
A method of finding relative periodic orbits for differential equations with continuous symmetries is described and its utility demonstrated by computing relative periodic solutions for the one-dimensional complex Ginzburg-Landau equation (CGLE) with periodic boundary conditions. A relative periodic solution is a solution that is periodic in time, up to a transformation by an element of the equ...
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Spatially periodic solutions to the Ginzburg-Landau equation are considered. In particular we obtain: criteria for primary and secondary bifurcation; limit cycle solutions; nonlinear dispersion relations relating spatial and temporal frequencies. Only relatively simple tools appear in the treatment and as a result a wide range of parameter cases are considered. Finally we briefly treat the case...
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ژورنال
عنوان ژورنال: SIAM Journal on Applied Dynamical Systems
سال: 2005
ISSN: 1536-0040
DOI: 10.1137/040618977