Canards and bifurcation delays of spatially homogeneous and inhomogeneous types in reaction-diffusion equations

zbMath1184.35042MaRDI QIDQ1038573

Tasso J. Kaper, Nikola Popović, Peter De Maesschalck

Publication date: 18 November 2009

Published in: Advances in Differential Equations (Search for Journal in Brave)

zbMATH Keywords

van der Pol equationmethod of sub- and supersolutions

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Bifurcations of singular points in dynamical systems (37G10) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Bifurcations in context of PDEs (35B32) Semilinear parabolic equations (35K58)

Related Items (7)

Multi-mode attractors and spatio-temporal canards ⋮ Bifurcation Analysis of Wilson-Cowan Model with Singular Impulses ⋮ Local Theory for Spatio-Temporal Canards and Delayed Bifurcations ⋮ Ducks in space: from nonlinear absolute instability to noise-sustained structures in a pattern-forming system ⋮ Stability on time-dependent domains ⋮ Problems on time-varying domains: formulation, dynamics, and challenges ⋮ Slowly varying control parameters, delayed bifurcations, and the stability of spikes in reaction-diffusion systems

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