Bifurcation Structures in a Bimodal Piecewise Linear Map

Bifurcation Structures in a Bimodal Piecewise Linear Map

In this paper we present an overview of the results concerning dynamics of a piecewise linear bimodal map. The organizing principles of the bifurcation structures in both regular and chaotic domains of the parameter space of the map are discussed. In addition to the previously reported structures, a...

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Bibliographic Details
Main Authors: Anastasiia Panchuk, Iryna Sushko, Viktor Avrutin
Format: Article
Language:English
Published: Frontiers Media S.A. 2017-05-01
Series:Frontiers in Applied Mathematics and Statistics
Subjects:
bimodal piecewise linear map
border collision bifurcation
border collision normal form
degenerate bifurcation
homoclinic bifurcation
Online Access:http://journal.frontiersin.org/article/10.3389/fams.2017.00007/full

Internet

http://journal.frontiersin.org/article/10.3389/fams.2017.00007/full

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