Existence and Stability Analysis of Multiple-peaked Solutions
نویسنده
چکیده
We consider the following Gierer-Meinhardt system in R 1 : A 0 (?1) = A 0 (1) = H 0 (?1) = H 0 (1) = 0; where (p; q; r; s) satisses 1 < qr (s + 1)(p ? 1) < +1; 1 < p < +1: We rigorously show that the existence and stability of symmetric and asymmetric N?peaked steady-states can be reduced to computing two matrices in terms of the coeecients D; N; p; q; r; s. The main techniques are the Liapunov-Schmidt reduction method and asymptotic analysis.
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تاریخ انتشار 2007