A Novel Method for Computing the Lyapunov Exponent Based on Differential Transform Method

Alireza Ghomi Taheri; Farbod Setoudeh; Mohsen Najafi

doi:10.15866/ireaco.v9i5.9790

A Novel Method for Computing the Lyapunov Exponent Based on Differential Transform Method

Alireza Ghomi Taheri^(1*), Farbod Setoudeh⁽²⁾, Mohsen Najafi⁽³⁾

^(*) Corresponding author

Authors' affiliations

DOI: https://doi.org/10.15866/ireaco.v9i5.9790

Abstract

This paper proposed a new analytic method to calculate the Lyapunov exponent based on the Differential Transform Method (DTM). In this work, the DTM method is applied for finding approximate variable coefficients. In this method, first the time series of the dynamical system is estimated based on DTM method, then the Lyapunov exponent is calculated analytically. The Lorenz system and the Colpitts oscillator are used as a practical case study of this research to validate the results. Simulation results are used to show the main points of this paper. We have calculated of the Lyapunov exponent based on DTM method for the first time.
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Keywords

Analytic; Calculate; Differential Transform Method; Lyapunov Exponent; Time Series

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