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

Mathematics and Computers in Simulation

Volumn 81, Issue 1, 2010, Pages 109-119

  Pryce, J D ^a   Khoshsiar Ghaziani, R ^b   De Witte, V ^c   Govaerts, W ^c  

^a CRANFIELD UNIVERSITY   (United Kingdom)

^b SHAHREKORD UNIVERSITY   (Iran)

^c GHENT UNIVERSITY   (Belgium)

Author keywords

Bifurcation; Iterated map; Matlab; Multilinear form; Taylor series

Indexed keywords

ALGORITHMIC DIFFERENTIATIONS; ARBITRARY ORDER; BIFURCATION; BIFURCATION POINTS; CODIMENSION; ELAPSED TIME; FINITE DIFFERENCE; ITERATED MAP; ITERATION NUMBERS; MULTILINEAR FORMS; NORMAL FORM; PARTIAL DERIVATIVES; STATE VARIABLES; SYMBOLIC DIFFERENTIATION;

FINITE DIFFERENCE METHOD; TAYLOR SERIES;

BIFURCATION (MATHEMATICS);

EID: 77956265334     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matcom.2010.07.014     Document Type: Article

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