The existence of chaotic regimes of the fractional analogue of the Duffing-type oscillator

The existence of chaotic regimes of the fractional analogue of the Duffing-type oscillator

In this paper, we study the chaotic regimes of the fractional Duffing oscillator. To do this, using the Wolf algorithm with Gram-Schmidt orthogonalization, we calculated the spectra of maximum Lyapunov exponents depending on the values of the control parameters, on the basis of which bifurcation dia...

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Bibliographic Details
Main Author: Roman Ivanovich Parovik
Format: Article
Language:English
Published: Samara State Technical University 2019-06-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Subjects:
duffing-type fractal oscillator
gram-schmidt orthogonalization
wolf's algorithm
maximum exponent spectrum
fractional derivative gerasimov-caputo
bifurcation diagrams
phase trajectories
Online Access:https://journals.eco-vector.com/1991-8615/article/viewFile/20634/16881

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https://journals.eco-vector.com/1991-8615/article/viewFile/20634/16881

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