@book{3062ffb8d73341fe8ea29f4b5d109907,

title = "Numerical Bifurcation Analysis of Double +1 Multiplier in Z3-Symmetric Maps",

abstract = "We consider a resonance 1:1 bifurcation with Z3-symmetry in a discrete-time dynamical system. We employ standard normalization and center manifold reduction techniques. With this, we obtain the normal form up to cubic order and also explicit formulas for the critical normal form coefficients. We provide an implementation of our algorithm that can be used in the numerical bifurcation toolbox matcontm. We illustrate our analysis with a Cournot triopoly model from economics.",

keywords = "EWI-27788, IR-104021",

author = "Reza Mazrooei-Sebdani and Zohreh Eskandari and Meijer, {Hil Ga{\'e}tan Ellart}",

year = "2017",

month = feb,

language = "Undefined",

series = "Memorandum / Department of Applied Mathematics",

publisher = "University of Twente, Department of Applied Mathematics",

number = "2058",

}