Codimension-Two Bifurcations in Animal Aggregation Models with Symmetry

DOI10.1137/130932272zbMath1328.37048OpenAlexW2138385728MaRDI QIDQ2940729

Pietro-Luciano Buono, Raluca Eftimie

Publication date: 20 January 2015

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://discovery.dundee.ac.uk/ws/files/51734058/SymmetryCod2Aggmodels_Buono_Eftimie_SIADS_FinalVersion.pdf

zbMATH Keywords

nonlocal interactionshyperbolic partial differential equationscodimension-two bifurcationsequivariant bifurcation theoryanimal aggregation

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) First-order nonlinear hyperbolic equations (35L60) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Animal behavior (92D50)

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