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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Format: | Article |
Language: | English |
Published: |
Samara State Technical University
2019-06-01
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Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
Subjects: | |
Online Access: | https://journals.eco-vector.com/1991-8615/article/viewFile/20634/16881 |
Summary: | 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 diagrams were constructed. Bifurcation diagrams made it possible to determine areas in which a chaotic oscillatory regime exists. Phase trajectories were also constructed, which confirmed the research results. |
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ISSN: | 1991-8615 2310-7081 |