ANALYSIS OF HOPF/HOPF BIFURCATIONS IN NONLOCAL HYPERBOLIC MODELS FOR SELF-ORGANISED AGGREGATIONS

DOI10.1142/S0218202513400101zbMath1282.35041OpenAlexW2002581511MaRDI QIDQ2873519

Pietro-Luciano Buono, Raluca Eftimie

Publication date: 24 January 2014

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202513400101

zbMATH Keywords

weakly nonlinear analysisstability resultsbifurcation and symmetry

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Ecology (92D40) Initial-boundary value problems for first-order hyperbolic systems (35L50) Bifurcations in context of PDEs (35B32) Group-invariant bifurcation theory in infinite-dimensional spaces (58E09) Integro-partial differential equations (35R09) Pattern formations in context of PDEs (35B36)

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Cites Work

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• Weakly nonlinear analysis of a hyperbolic model for animal group formation
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• Regenerative tool chatter near a codimension 2 Hopf point using multiple scales
• Fredholm alternative for periodic-Dirichlet problems for linear hyperbolic systems
• ON THE MATHEMATICAL THEORY OF THE DYNAMICS OF SWARMS VIEWED AS COMPLEX SYSTEMS
• FROM EMPIRICAL DATA TO INTER-INDIVIDUAL INTERACTIONS: UNVEILING THE RULES OF COLLECTIVE ANIMAL BEHAVIOR
• Double Hopf Bifurcations in the Differentially Heated Rotating Annulus
• Complex spatial group patterns result from different animal communication mechanisms

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