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

J. F. G. Auchmuty; G. Nicolis

doi:10.1007/bf02459519

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—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

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—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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Steady state bifurcation analysis of reaction-diffusion equations—A critique

Bulletin of Mathematical Biology ◽

10.1016/s0092-8240(78)80014-7 ◽

1978 ◽

Vol 40 (6) ◽

pp. 865-872

Author(s):

T VANDERWERFF ◽

H WILHELM

Keyword(s):

Steady State ◽

Bifurcation Analysis ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Steady State Bifurcation

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On steady state solutions of a system of reaction-diffusion equations from biology

Nonlinear Analysis ◽

10.1016/0362-546x(82)90045-1 ◽

1982 ◽

Vol 6 (6) ◽

pp. 523-530 ◽

Cited By ~ 39

Author(s):

A.C. Lazer ◽

P.J. McKenna

Keyword(s):

Steady State ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Steady State Solutions

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Existence and stability of steady-state solutions of reaction–diffusion equations with nonlocal delay effect

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-021-01474-1 ◽

2021 ◽

Vol 72 (2) ◽

Author(s):

Wenjie Zuo ◽

Junping Shi

Keyword(s):

Steady State ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Delay Effect ◽

Nonlocal Delay ◽

Existence And Stability ◽

Steady State Solutions

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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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Remarks on the Stability of Steady-State Solutions of Reaction-Diffusion Equations

Bifurcation Phenomena in Mathematical Physics and Related Topics ◽

10.1007/978-94-009-9004-3_2 ◽

1980 ◽

pp. 47-56 ◽

Cited By ~ 3

Author(s):

C. Conley ◽

J. Smoller

Keyword(s):

Steady State ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

The Stability ◽

Steady State Solutions

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Steady state bifurcation analysis of reaction-diffusion equations-A critique

Bulletin of Mathematical Biology ◽

10.1007/bf02460612 ◽

1978 ◽

Vol 40 (6) ◽

pp. 865-872

Author(s):

Terry J. van der Werff ◽

Horst E. Wilhelm

Keyword(s):

Steady State ◽

Bifurcation Analysis ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Steady State Bifurcation

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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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