| [1] Kuramoto Y, Tsuzuki T. On the formation of dissipative structures in reaction-diffusionsy stem s[J]. Pro g Theor Phy, 1975, 54(3):687~699.
[2] Sivashinsky G I. Nonlinear analysis of hydrodynamic instability in laminar flames-I) :derivation of basic equations[J]. Acta Astronautica, 1977, 4:1177~1206.
[3] Sivashinsky G I, Michelson D M. On irregular flow of a liquid film dow n a vertical plane.
[J]. Prog Theor Phys, 1980, 63(6):2112~2114.
[4] Michelson D M, Sivashinsky G I. Nonlinear analysis of hydrodynamic instability in lami-nar flames-II:numerical experiments[J]. Acta Astronautica, 1977, 4:1206~1221.
[5] Kevrekidis I G, Nico laenko B, Scovel J C. Back in saddle again:a computer assistedstudy of the Kuramoto-Sivashinsky equation[J]. SIAM J Appl Math, 1990, 50(3):760~790.
[6] Licolaenko B, Scheurer B, Temam R. Some global dynamical properties of the Kuramoto-Sivashinsky equation:Nonlinear stability and attractors[J]. Physica D, 1985, 16(3):155~183.
[7] Collet P, Eckmann J P, Epstein H, Stubbe J. A global attracting se4t for the Kuramoto-Sivashinsky equation[J]. Commu Math Phy, 1993, 152(1):203~214.
[8] Goodman J. Stability of the Kuram oto-Sivashinsky and related systems[J]. Commu PureAppl Math, 1994, 97(5):293~306.
[9] Wang Guanxiang. On the dynamics of Kuramoto-Sivashinsky equation [D]. Ph. D. thesisSuzhou:Suzhou University, 1996. (in Chinese). |
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