Turing bifurcation in the Swift-Hohenberg equation on deterministic and random graphs

DOI10.1007/s00332-024-10054-2zbMath1547.35055MaRDI QIDQ6599774

Georgi S. Medvedev, Dmitry E. Pelinovsky

Publication date: 6 September 2024

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

zbMATH Keywords

normal formrandom graphsCayley graphsSwift-Hohenberg equationTuring bifurcation

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Bifurcation theory for random and stochastic dynamical systems (37H20) Semilinear parabolic equations (35K58) Pattern formations in context of PDEs (35B36) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

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