Pseudospectral Discretization of Nonlinear Delay Equations: New Prospects for Numerical Bifurcation Analysis

DOI10.1137/15M1040931zbMath1352.34101OpenAlexW2284323722MaRDI QIDQ3465251

Mats Gyllenberg, Francesca Scarabel, Odo Diekmann, Rossana Vermiglio, Dimitri Breda

Publication date: 21 January 2016

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

Full work available at URL: https://doi.org/10.1137/15m1040931

zbMATH Keywords

pseudospectral methoddelay differential equationsstability of equilibriarenewal equationsphysiologically structured populationsnumerical bifurcationVolterra delay equations

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Computational methods for bifurcation problems in dynamical systems (37M20) Numerical bifurcation problems (65P30) Numerical solutions to abstract evolution equations (65J08)

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Uses Software

• MATCONT
• Matlab
• AUTO
• DDE-BIFTOOL
• PyDSTool
• Knut

Cites Work

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