Computation of normal form coefficients of cycle bifurcations of maps by algorithmic differentiation

DOI10.1016/j.matcom.2010.07.014zbMath1203.65049OpenAlexW1992435184MaRDI QIDQ609084

Sumit K. Garg

Publication date: 30 November 2010

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://biblio.ugent.be/publication/1098628

zbMATH Keywords

numerical examplesbifurcationfinite differencesderivativesTaylor seriesMatlabmultilinear formpartial derivativesalgorithmic differentiationiterated mapsymbolic differentiation

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Numerical differentiation (65D25)

Related Items

Algorithm 948

Uses Software

• MATCONT
• Matlab
• ADMIT
• ADMAT
• CL_MATCONT
• MAD

Cites Work

• Unnamed Item
• An analysis of a nonlinear stage-structured cannibalism model with application to the Northeast Arctic cod stock
• Automatic differentiation in MATLAB
• Numerical bifurcation analysis of a nonlinear stage structured cannibalism population model
• Evaluating Derivatives
• Numerical Methods for Two-Parameter Local Bifurcation Analysis of Maps
• The Efficient Computation of Sparse Jacobian Matrices Using Automatic Differentiation
• ADMIT-1
• Numerical Normal Forms for Codim 2 Bifurcations of Fixed Points with at Most Two Critical Eigenvalues
• Elements of applied bifurcation theory