A 5-MODE BIFURCATION-ANALYSIS OF A KURAMOTO-SIVASHINSKY EQUATION WITH DISPERSION

被引：6

作者：

ALFARO, CM

DEPASSIER, MC

机构：

[1] Facultad de Física, P. Universidad Católica de Chile, Santiago, 22

来源：

PHYSICS LETTERS A | 1994年 / 184卷 / 02期

关键词：

D O I：

10.1016/0375-9601(94)90774-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the bifurcation structure of the equation ut u(t) + uu(x) + delta u(xxx) + u(xx) + u(xxxx) = 0 in a small domain L by using a five-mode truncation. As dispersion increases quantitative and qualitative changes occur. A characteristic feature due to dispersion is the coexistence of stable travelling waves of different basic wavenumber and speed.

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页码：184 / 189

页数：6

相关论文

共 23 条

[1] FINITE MODE ANALYSIS OF THE GENERALIZED KURAMOTO-SIVASHINSKY EQUATION [J].

ALFARO, CM ;

BENGURIA, RD ;

DEPASSIER, MC .

PHYSICA D, 1992, 61 (1-4) :1-5

[2] HETEROCLINIC CYCLES AND MODULATED TRAVELING WAVES IN SYSTEMS WITH O(2) SYMMETRY [J].

ARMBRUSTER, D ;

GUCKENHEIMER, J ;

HOLMES, P .

PHYSICA D, 1988, 29 (03) :257-282

[3]

ARMBRUSTER D, 1989, SIAM J APPL MATH, V49, P679

[4] EVOLUTION EQUATION OF SURFACE-WAVES IN A CONVECTING FLUID [J].

ASPE, H ;

DEPASSIER, MC .

PHYSICAL REVIEW A, 1990, 41 (06) :3125-3128

[5] 3-MODE TRUNCATION OF A MODEL EQUATION FOR SYSTEMS WITH A LONG-WAVELENGTH OSCILLATORY INSTABILITY [J].

BENGURIA, RD ;

DEPASSIER, MC .

PHYSICAL REVIEW A, 1992, 45 (08) :5566-5571

[6] LONG WAVES ON LIQUID FILMS [J].

BENNEY, DJ .

JOURNAL OF MATHEMATICS AND PHYSICS, 1966, 45 (02) :150-&

[7] BIFURCATIONS AND PATTERN-FORMATION IN THE REGULARIZED KURAMOTO-SIVASHINSKY EQUATION [J].

BROWN, HS ;

KEVREKIDIS, IG ;

ORON, A ;

ROSENAU, P .

PHYSICS LETTERS A, 1992, 163 (04) :299-308

[8] FORCED REFLECTIONAL SYMMETRY-BREAKING OF AN O(2)-SYMMETRICAL HOMOCLINIC CYCLE [J].

CHOSSAT, P .

NONLINEARITY, 1993, 6 (05) :723-731

[9]

COHEN BI, 1976, NUCL FUSION, V16, P6

[10] HOPF-BIFURCATION WITH BROKEN CIRCULAR SYMMETRY [J].

DANGELMAYR, G ;

KNOBLOCH, E .

NONLINEARITY, 1991, 4 (02) :399-427