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Periodica Polytechnica: Mechanical Engineering
Article . 2012 . Peer-reviewed
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Analytical investigation of single and double Neimark-Sacker bifurcations

Authors: HABIB, Giuseppe; REGA, GIUSEPPE; Gabor Stepan;

Analytical investigation of single and double Neimark-Sacker bifurcations

Abstract

The analytical investigation of bifurcations is a very challenging task for many applied scientists and engineers. Often, numerical simulations cannot clarify the complicated dynamics of mechanical systems, in this cases, preprogrammed softwares can be of valid help during the investigation. Also, in the literature, methodology to study bifurcations are presented for most of the cases. However, the presented procedures, are often very hard to be understood from applied scientists with low mathematical background. In this paper we present in details the typical procedure to analyze single and double Neimark-Sacker bifurcations. Especially regarding the double Neimark-Sacker bifurcations of maps, very few sources can be found in the literature, although this kind of bifurcation is very common in many dynamical systems.

Country
Italy
Keywords

double neimark-sacker; neimark-sacker bifurcation; center manifold reduction; near identity transformation, Mechanical Engineering

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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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