Dynamical behaviors of Bazykin-Berezovskaya model with fractional-order and its discretization
عنوان مقاله: Dynamical behaviors of Bazykin-Berezovskaya model with fractional-order and its discretization
شناسه ملی مقاله: JR_CMDE-9-4_006
منتشر شده در در سال 1400
شناسه ملی مقاله: JR_CMDE-9-4_006
منتشر شده در در سال 1400
مشخصات نویسندگان مقاله:
Mohammad Hossein Akrami - Department of Mathematics, Yazd University, ۸۹۱۹۵-۷۴۱ Yazd, Iran.
خلاصه مقاله:
Mohammad Hossein Akrami - Department of Mathematics, Yazd University, ۸۹۱۹۵-۷۴۱ Yazd, Iran.
This paper is devoted to study dynamical behaviors of the fractional-order BazykinBerezovskaya model and its discretization. The fractional derivative has been described in the Caputo sense. We show that the discretized system, exhibits more complicated dynamical behaviors than its corresponding fractional-order model. Specially, in the discretized model Neimark-Sacker and flip bifurcations and also chaos phenomena will happen. In the final part, some numerical simulations verify the analytical results.
کلمات کلیدی: Fractional-order dynamical system, Neimark-Sacker bifurcation, Flip bifurcation, chaos
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1597911/