NDLI: Matlab Toolbox and GUI for Analyzing One-Dimensional Chaotic Maps

Content Provider	IEEE Xplore Digital Library
Author	Tomida, A.G.
Copyright Year	2008
Description	Author affiliation: Dept. of Appl. Math. & Comput. Sci., Cantabria Univ., Santander (Tomida, A.G.)
Abstract	Although the notion of chaos is usually associated with continuous systems, discrete systems can also exhibit chaotic behavior. In fact, discrete systems have less requirements than their continuous counterparts to show chaotic regime, as chaos can be found in simple one-dimensional non-invertible maps. This paper deals specifically with this last kind of systems. To this aim, the author introduces a new Matlab toolbox and GUI (graphical user interface) providing the user with a suitable toolkit for a complete analysis of those systems by computer. The paper describes the software developed to reach these goals, its main features and components and illustrates its performance by applying it to the analysis of important issues regarding one-dimensional maps, such as the calculation of fixed points, the study of their stability and the representation of their bifurcation diagram and Lyapunov exponents, cobweb plots and phase space graphs for various dimensions. In our opinion, the tool described here is very useful in order to carry out such calculations in an efficient and simple way.
Starting Page	321
Ending Page	330
File Size	1436498
Page Count	10
File Format	PDF
ISBN	9780769532431
DOI	10.1109/ICCSA.2008.7
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-06-30
Publisher Place	Italy
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Graphical user interfaces Chaos Continuous time systems Nonlinear systems Hardware Chemical lasers Differential equations Mathematics Computer interfaces Software performance chaotic maps Dynamical systems matlab toolbox
Content Type	Text
Resource Type	Article

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