A center manifold for second order semilinear differential equations on the real line and applications to the existence of wave trains for the Gurtin–McCamy equation

DOI10.1090/tran/7780zbMath1422.37057OpenAlexW2924352173WikidataQ115280318 ScholiaQ115280318MaRDI QIDQ5227992

Pierre Magal, Arnaut Ducrot

Publication date: 7 August 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/tran/7780

zbMATH Keywords

Hopf bifurcationperiodic wave trainscenter manifoldintegrated semigroupssecond-order semilinear equationsGurtin-McCamy equation

Mathematics Subject Classification ID

Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Integrated semigroups (47D62) Semilinear elliptic equations (35J61) Traveling wave solutions (35C07)

Related Items

Hopf bifurcation theorem for second-order semi-linear Gurtin-MacCamy equation, On multilayer reaction-diffusion problems: a semigroup approach, Part I, Properties of the semigroup in L_1 associated with age-structured diffusive properties, An integrated semigroup approach for age structured equations with diffusion and non-homogeneous boundary conditions, Existence of periodic wave trains for an age-structured model with diffusion, Asymptotic behaviour of an age and infection age structured model for the propagation of fungal diseases in plants

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