TY - JOUR
T1 - Bifurcation analysis of the Kuramoto-Sivashinsky equation in one spatial dimension
AU - Li, Changpin
AU - Chen, Guanrong
PY - 2001/9
Y1 - 2001/9
N2 - In this Letter, we study the bifurcation of the Kuramoto-Sivashinsky (K-S) equation in one-spatial dimension with three kinds of boundary value conditions. Using the Liapunov-Schmidt reduction technique, the original equation is first reduced to one or two bifurcation equations, so that bifurcation analysis of the original equation can be transformed to that of the reduced-order systems, and can therefore be carried out in detail.
AB - In this Letter, we study the bifurcation of the Kuramoto-Sivashinsky (K-S) equation in one-spatial dimension with three kinds of boundary value conditions. Using the Liapunov-Schmidt reduction technique, the original equation is first reduced to one or two bifurcation equations, so that bifurcation analysis of the original equation can be transformed to that of the reduced-order systems, and can therefore be carried out in detail.
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U2 - 10.1142/S021812740100353X
DO - 10.1142/S021812740100353X
M3 - RGC 21 - Publication in refereed journal
SN - 0218-1274
VL - 11
SP - 2493
EP - 2499
JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
IS - 9
ER -