Analyzing Double Pendulum Dynamics with Approximate Entropy and Maximal Lyapunov Exponent

DOI

10.2991/978-94-6463-152-4_19How to use a DOI?

Keywords

Double pendulum; Approximate entropy; Lyapunov exponent

Abstract

Two methods were used to study the aperiodicity of a double pendulum based on its chaotic behavior: approximate entropy and maximum Lyapunov exponents. These methods were applied to analyze the aperiodicity of a signal obtained from the angular velocity of the first pendulum. The nonlinear system of differential equations were modeled using Langrage’s equation of motion and solved using the computational software MATLAB. Both maximal Lyapunov exponents and approximate entropy values exhibited an increase in magnitude with increasing initial conditions.

Copyright

© 2023 The Author(s)

Open Access

Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

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TY  - CONF
AU  - Jonathan Ting
AU  - Dan B. Marghitu
PY  - 2023
DA  - 2023/05/30
TI  - Analyzing Double Pendulum Dynamics with Approximate Entropy and Maximal Lyapunov Exponent
BT  - Proceedings of the International Conference of Mechanical Engineering (ICOME-2022)
PB  - Atlantis Press
SP  - 167
EP  - 174
SN  - 2589-4943
UR  - https://doi.org/10.2991/978-94-6463-152-4_19
DO  - 10.2991/978-94-6463-152-4_19
ID  - Ting2023
ER  -