Bifurcation analysis of nonlinear reaction-diffusion equations—I

J. F. G. Auchmuty; G. Nicolis

doi:10.1007/bf02462929

Bifurcation analysis of nonlinear reaction-diffusion equations—I

The Bulletin of Mathematical Biophysics ◽

10.1007/bf02462929 ◽

1977 ◽

Vol 39 (4) ◽

pp. 505-506 ◽

Cited By ~ 2

Author(s):

J. F. G. Auchmuty ◽

G. Nicolis

Keyword(s):

Bifurcation Analysis ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Nonlinear Reaction

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Bifurcation analysis of nonlinear reaction-diffusion equations—I. Evolution equations and the steady state solutions

The Bulletin of Mathematical Biophysics ◽

10.1007/bf02459519 ◽

1975 ◽

Vol 37 (4) ◽

pp. 323-365 ◽

Cited By ~ 11

Author(s):

J. F. G. Auchmuty ◽

G. Nicolis

Keyword(s):

Steady State ◽

Bifurcation Analysis ◽

Evolution Equations ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Nonlinear Reaction ◽

Steady State Solutions

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Bifurcation analysis of nonlinear reaction-diffusion equations—II. Steady state solutions and comparison with numerical simulations

The Bulletin of Mathematical Biophysics ◽

10.1007/bf02459527 ◽

1975 ◽

Vol 37 (6) ◽

pp. 589-636 ◽

Cited By ~ 92

Author(s):

M. Herschkowitz-Kaufman

Keyword(s):

Steady State ◽

Numerical Simulations ◽

Bifurcation Analysis ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Nonlinear Reaction ◽

Steady State Solutions

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Bifurcation analysis of nonlinear reaction-diffusion equations—I. Evolution equations and the steady state solutions

Bulletin of Mathematical Biology ◽

10.1016/s0092-8240(75)80036-x ◽

1975 ◽

Vol 37 ◽

pp. 323-365 ◽

Cited By ~ 11

Author(s):

J AUCHMUTY ◽

G NICOLIS

Keyword(s):

Steady State ◽

Bifurcation Analysis ◽

Evolution Equations ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Nonlinear Reaction ◽

Steady State Solutions

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Bifurcation analysis of nonlinear reaction-diffusion equations—II. Steady state solutions and comparison with numerical simulations

Bulletin of Mathematical Biology ◽

10.1016/s0092-8240(75)80050-4 ◽

1975 ◽

Vol 37 ◽

pp. 589-636 ◽

Cited By ~ 3

Author(s):

M HERSCHKOWITZKAUFMAN

Keyword(s):

Steady State ◽

Numerical Simulations ◽

Bifurcation Analysis ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Nonlinear Reaction ◽

Steady State Solutions

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A linearized spectral collocation method for Riesz space fractional nonlinear reaction‐diffusion equations

Computational and Mathematical Methods ◽

10.1002/cmm4.1177 ◽

2021 ◽

Author(s):

Mustafa Almushaira

Keyword(s):

Collocation Method ◽

Reaction Diffusion ◽

Riesz Space ◽

Reaction Diffusion Equations ◽

Spectral Collocation Method ◽

Diffusion Equations ◽

Spectral Collocation ◽

Nonlinear Reaction

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ADER finite volume schemes for nonlinear reaction–diffusion equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2007.12.001 ◽

2009 ◽

Vol 59 (1) ◽

pp. 73-100 ◽

Cited By ~ 29

Author(s):

Eleuterio F. Toro ◽

Arturo Hidalgo

Keyword(s):

Finite Volume ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Finite Volume Schemes ◽

Nonlinear Reaction

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Bounds on Solutions to Certain Nonlinear Reaction-Diffusion Equations

SIAM Journal on Applied Mathematics ◽

10.1137/0128031 ◽

1975 ◽

Vol 28 (2) ◽

pp. 362-366 ◽

Cited By ~ 3

Author(s):

F. J. Testa

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Nonlinear Reaction

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A Closer Look of Nonlinear Reaction-Diffusion Equations

10.52305/rrsy7475 ◽

2020 ◽

Author(s):

L. Rajendran ◽

R. Swaminathan ◽

M. Chitra Devi

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Nonlinear Reaction

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Global fuzzy adaptive asymptotic tracking control for nonlinear reaction-diffusion equations with time-varying coefficients

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2021.09.026 ◽

2021 ◽

Author(s):

Yanfang Lei ◽

Junmin Li ◽

Ailiang Zhao

Keyword(s):

Tracking Control ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Time Varying ◽

Varying Coefficients ◽

Nonlinear Reaction ◽

Asymptotic Tracking ◽

Time Varying Coefficients ◽

Fuzzy Adaptive

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The interplay of nonlinear reaction and convection in dead core behavior for reaction-diffusion equations

Nonlinear Analysis ◽

10.1016/0362-546x(92)90156-9 ◽

1992 ◽

Vol 18 (12) ◽

pp. 1113-1123 ◽

Cited By ~ 2

Author(s):

Ross Pinsky

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Nonlinear Reaction ◽

Dead Core

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