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Singular perturbations approach to the limit cycle and global patterns in a nonlinear diffusion-reaction problem with autocatalysis and saturation law. (English) Zbl 0455.35107

MSC:
35Q99 Partial differential equations of mathematical physics and other areas of application
35B25 Singular perturbations in context of PDEs
35K55 Nonlinear parabolic equations
35B35 Stability in context of PDEs
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References:
[1] DOI: 10.1063/1.523532 · doi:10.1063/1.523532
[2] DOI: 10.1103/PhysRevA.18.750 · doi:10.1103/PhysRevA.18.750
[3] DOI: 10.1016/S0022-5193(75)80025-7 · doi:10.1016/S0022-5193(75)80025-7
[4] DOI: 10.1016/0375-9601(76)90664-2 · doi:10.1016/0375-9601(76)90664-2
[5] DOI: 10.1137/0120062 · Zbl 0198.30402 · doi:10.1137/0120062
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