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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

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
Full Text: DOI
[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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