Pulse Replication and Accumulation of Eigenvalues

DOI10.1137/20M1340113zbMath1490.35034arXiv2005.11683OpenAlexW3176613917MaRDI QIDQ5003319

Paul Carter, Björn Sandstede, Jens D. M. Rademacher

Publication date: 21 July 2021

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

Full work available at URL: https://arxiv.org/abs/2005.11683

zbMATH Keywords

spectral stabilitygeometric singular perturbation theorycanardsFitzHugh-Nagumo equationtraveling pulsesabsolute spectrum

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Estimates of eigenvalues in context of PDEs (35P15) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Traveling wave solutions (35C07) Semilinear parabolic equations (35K58) Canard solutions to ordinary differential equations (34E17)

Related Items (6)

Continuation and bifurcation in nonlinear PDEs - algorithms, applications, and experiments ⋮ Wiggly canards: growth of traveling wave trains through a family of fast-subsystem foci ⋮ Simple and multiple traveling waves in a reaction-diffusion-mechanics model ⋮ Weak and strong interaction of excitation kinks in scalar parabolic equations ⋮ Dynamics of waves and patterns. Abstracts from the workshop held August 8--14, 2021 (hybrid meeting) ⋮ Stability of traveling wave in a PDE approximation of coupled arrays of Chua's circuit

Uses Software

• pde2path

Cites Work

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