TY - JOUR
T1 - On the Number of Determining Nodes for the Generalized Ginzburg-Landau Equation
JO - Journal of Partial Differential Equations
VL - 2
SP - 97
EP - 106
PY - 1997
DA - 1997/10
SN - 10
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5584.html
KW - Generalized Ginzburg-Landau equation
KW - determining nodes
KW - winding number
KW - stationary solutions
AB -  In this paper, we obtain that the number of determining nodes for the generalized Ginzburg-Landau equation is two closely points, as a consequence, an upper bound for the winding number of stationary is established in terrns of the parameters in the equation. It is also proven that the fractal dimension of the set of stationary solution is less than or equal to 4.