Effects of delay, noises and fractional-order on the peaks in antiperiodic oscillations in Duffing oscillator

Autor:	H. Simo, R. Thepi Siewe, Jayanta Kumar Dutt, Paul Woafo
Rok vydání:	2019
Předmět:	Physics Quantitative Biology::Biomolecules Gain coefficient Amplitude Mathematical analysis General Physics and Astronomy Perturbation (astronomy) Duffing equation lipids (amino acids peptides and proteins) Astrophysics::Earth and Planetary Astrophysics
Zdroj:	Indian Journal of Physics. 94:2005-2015
ISSN:	0974-9845 0973-1458
Popis:	In this paper, we numerically analyze the effects of the time-delay feedback position, power noises, and fractional order on the peaks of antiperiodic oscillations (APOs) in a forced Duffing equation. It is found that the stability of the system depends on the sign of the gain coefficient about the delay. It is also found that the number, the shape, and the amplitude of the peaks of APO depend on the value of the time delay. When the system is subject to a stochastic perturbation, the number of peaks is not periodic. The effects of fractional order on the APOs are also studied. The results show that the number when the value of fractional-order derivative decreases, the number of the peaks of APO also decreases and the APO disappears for a certain value of fractional-order derivative.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::bda464035d11182032c51aa31c6f01d7 https://doi.org/10.1007/s12648-019-01653-x Zobrazit plný text záznamu Full text from SpringerLink