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Bifurcation and chaos in a one mass discrete time vocal fold dynamical model | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 12، شماره 2، بهمن 2021، صفحه 305-315 اصل مقاله (854.54 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2020.19373.2074 | ||
| نویسندگان | ||
| Mehdi Fatehi Nia1؛ Mohamad Hossein Akrami* 2 | ||
| 1Department of Mathematics, Yazd University, Yazd, Iran | ||
| 2Department of Mathematics, Yazd University, Yazd, Iran. | ||
| تاریخ دریافت: 03 دی 1398، تاریخ بازنگری: 16 اردیبهشت 1399، تاریخ پذیرش: 19 خرداد 1399 | ||
| چکیده | ||
| In this article, we are going to study the stability and bifurcation of a two-dimensional discrete time vocal fold model. The existence and local stability of the unique fixed point of the model is investigated. It is shown that a Neimark-Sacker bifurcation occurs and an invariant circle will appear. We give sufficient conditions for this system to be chaotic in the sense of Marotto. Numerically it is shown that our model has positive Lyapunov exponent and is sensitive dependence on initial conditions. Some numerical simulations are presented to illustrate our theoretical results. | ||
| کلیدواژهها | ||
| Vocal fold؛ Neimark-Sacker bifurcation؛ Limit cycle؛ Marotto's chaos؛ Lyapunov exponent؛ Sensitive dependence on initial conditions | ||
| مراجع | ||
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