Analysis of codimension 2 bifurcations for high-dimensional discrete systems using symbolic computation methods

Wei Niu, Jian Shi and Chenqi Mou

Applied Mathematics and Computation, 2016, vol. 273, issue C, 934-947

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.

Keywords: Fold-Neimark–Sacker bifurcation; Flip-Neimark–Sacker bifurcation; Symbolic computation; Discrete dynamical system (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:273:y:2016:i:c:p:934-947

DOI: 10.1016/j.amc.2015.10.009

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