A POINCARE-BENDIXSON THEOREM FOR SCALAR REACTION DIFFUSION-EQUATIONS

被引:60
作者
FIEDLER, B [1 ]
MALLETPARET, J [1 ]
机构
[1] BROWN UNIV,DIV APPL MATH,PROVIDENCE,RI 02912
关键词
D O I
10.1007/BF00251553
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
收藏
页码:325 / 345
页数:21
相关论文
共 52 条
[1]   THE ZERO-SET OF A SOLUTION OF A PARABOLIC EQUATION [J].
ANGENENT, S .
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1988, 390 :79-96
[2]   THE DYNAMICS OF ROTATING WAVES IN SCALAR REACTION DIFFUSION-EQUATIONS [J].
ANGENENT, SB ;
FIEDLER, B .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 307 (02) :545-568
[3]   THE MORSE-SMALE PROPERTY FOR A SEMILINEAR PARABOLIC EQUATION [J].
ANGENENT, SB .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1986, 62 (03) :427-442
[4]  
[Anonymous], [No title captured]
[5]   On the defined curves of some differential equations [J].
Bendixson, I .
ACTA MATHEMATICA, 1901, 24 (01) :1-88
[6]  
BILLOTTI JP, 1971, B AM MATH SOC, V6, P1082
[7]   NUMBERS OF ZEROS ON INVARIANT-MANIFOLDS IN REACTION-DIFFUSION EQUATIONS [J].
BRUNOVSKY, P ;
FIEDLER, B .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1986, 10 (02) :179-193
[8]  
BRUNOVSKY P, 1988, DYNAMICS REPORTED, V1, P57
[9]  
BRUNOVSKY P, IN PRESS J DIFF EQ
[10]  
CHEN XY, UNPUB CONVERGENCE SO