Spectra and Stability of Spatially Periodic Pulse Patterns: Evans Function Factorization via Riccati Transformation

DOI10.1137/15M1007264zbMath1336.35042arXiv1502.01503MaRDI QIDQ3460262

Jens D. M. Rademacher, Arjen Doelman, Björn de Rijk

Publication date: 7 January 2016

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.01503

zbMATH Keywords

exponential dichotomiesspectral stabilityRiccati transformationsemistrong interactionreduced Evans functionperiodic pulse patterns

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09) Second-order parabolic systems (35K40)

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