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Multistability in nonlinear parabolic systems with low diffusion

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Publication:542318
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DOI10.1134/S1064562410060104zbMath1227.35041MaRDI QIDQ542318

I. S. Kashchenko

Publication date: 8 June 2011

Published in: Doklady Mathematics (Search for Journal in Brave)


zbMATH Keywords

periodic boundary conditionsinfinitely many roots with small real part


Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51)


Related Items

Local Dynamics of the Two-Component Singular Perturbed Systems of Parabolic Type, Bifurcations in the generalized Korteweg-de Vries equation, Normal form for the KdV-Burgers equation, Dynamics of the logistic delay equation with a large spatially distributed control coefficient, Quasi-normal forms of two-component singularly perturbed systems, Rapidly oscillating solutions of a generalized Korteweg-de Vries equation, Bifurcations in Kuramoto-Sivashinsky equations, Wave propagation in the Kolmogorov-Petrovskii-Piskunov problem with delay, Local dynamics of two-component singularly perturbed parabolic systems, The interaction of waves in the Fermi-Pasta-Ulam model



Cites Work

  • NORMALIZATION IN THE SYSTEMS WITH SMALL DIFFUSION
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