Lyapunov Exponent Diagram for 1D Chaotic Maps

版本 1.0.0 (2.4 KB) 作者: Lazaros Moysis
Plot the Lyapunov Exponent Diagram for any Chaotic Map
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更新时间 2024/3/3

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The code computes the Lyapunov exponent for a 1d chaotic map. The logistic map is used as an example, but you can replace this with any given map.
The methodology is implemented from the following work:
Bovy, J. (2004). Lyapunov exponents and strange attractors in discrete and continuous dynamical systems. Theoretica Phys. Project, Catholic Univ. Leuven, Flanders, Belgium, Tech. Rep, 9, 1-19.
Relevant references:
https://www.mdpi.com/2073-8994/15/12/2138
https://www.mdpi.com/2073-8994/15/3/726
https://www.mdpi.com/2227-7390/10/15/2801
https://dergipark.org.tr/en/pub/chaos/issue/54264/756229
The code below is broken into 2 parts. The first section is used to plot the LE diagram.
The second part is used to plot the bifurcation diagram, and overlap the LE diagram above it. This combination can be done to illustrate that the LE is negative on non-chaotic regions, and positive on chaotic regions.
Lazaros Moysis
Youtube channel: https://www.youtube.com/@lazarosmoysis5095
RG: https://www.researchgate.net/profile/Lazaros-Moysis

引用格式

Lazaros Moysis (2024). Lyapunov Exponent Diagram for 1D Chaotic Maps (https://www.mathworks.com/matlabcentral/fileexchange/160556-lyapunov-exponent-diagram-for-1d-chaotic-maps), MATLAB Central File Exchange. 检索时间: .

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1.0.0