BIFURCATION DIAGRAM OF A MODEL CHEMICAL-REACTION .2. 2 DIMENSIONAL TIME-PERIODIC PATTERNS

被引：7

作者：

ERNEUX, T

HERSCHKOWITZKAUFMAN, M

机构：

[1] Faculté des Sciences, Université Libre de Bruxelles, Bruxelles, 1050, Chimie-physique II, Campus plaine C.P.231, Boulevard du Triomphe

来源：

BULLETIN OF MATHEMATICAL BIOLOGY | 1979年 / 41卷 / 06期

关键词：

D O I：

10.1007/BF02462375

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The bifurcation equations of a general reaction-diffusion system are derived for a circular surface. Particular attention is directed to the deformation of the circular boundary into an elliptic shape. This leads to a new bifurcation diagram which may involve secondary bifurcation, but which retains however the basic characteristics of the solutions for the circular case. Numerical simulations of the various coexisting, time-periodic and space-dependent solutions, are presented for a simple model reaction and circular geometry. © 1979 Society for Mathematical Biology.

引用

页码：767 / 790

页数：24

共 44 条

[1]

ASHKENAZI M, 1978, J MATH BIOL, V5, P305

[2] BIFURCATION ANALYSIS OF REACTION-DIFFUSION EQUATIONS .3. CHEMICAL OSCILLATIONS [J].

AUCHMUTY, JFG ;

NICOLIS, G .

BULLETIN OF MATHEMATICAL BIOLOGY, 1976, 38 (04) :325-350

[3]

AUCHMUTY JFG, 1975, B MATH BIOL, V37, P323, DOI 10.1007/BF02459519

[4]

AUCHMUTY JFG, UNPUBLISHED

[5] INSTABILITIES, OSCILLATIONS AND CHEMICAL WAVES IN AN OLIGOMERIC MODEL FOR MEMBRANE-TRANSPORT [J].

BLUMENTHAL, R .

JOURNAL OF THEORETICAL BIOLOGY, 1975, 49 (01) :219-239

[6] CHEMICAL OSCILLATIONS IN A MEMBRANE [J].

CAPLAN, SR ;

NAPARSTE.A ;

ZABUSKY, NJ .

NATURE, 1973, 245 (5425) :364-366

[7]

COHEN D, UNPUBLISHED

[8] ROTATING WAVES AS ASYMPTOTIC SOLUTIONS OF A MODEL CHEMICAL-REACTION [J].

ERNEUX, T ;

HERSCHKOWITZKAUFMAN, M .

JOURNAL OF CHEMICAL PHYSICS, 1977, 66 (01) :248-250

[9]

ERNEUX T, 1979, B MATH BIOL, V41, P21

[10]

ERNEUX T, 1978, THESIS U LIBRE

← 1 2 3 4 5 →