Article ID Journal Published Year Pages File Type
4626086 Applied Mathematics and Computation 2016 14 Pages PDF
Abstract

This article reports an algebraic criterion of the eigenvalue assignment, transversality condition and non-resonance condition for fold-N–S bifurcations. By means of symbolic computation methods, we propose an algorithmic approach for systematically analyzing codimension 2 bifurcations for high-dimensional discrete systems. The effectiveness of the proposed symbolic approach is verified by experiments. In particular, the flip- and fold-N–S bifurcations of a five-dimensional discrete dynamical system with a washout-filter feedback controller are analyzed.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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