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Akrami, Mohammad Hossein. (1400). Dynamical behaviors of Bazykin-Berezovskaya model with fractional-order and its discretization. سامانه مدیریت نشریات علمی, 9(4), 1013-1027. doi: 10.22034/cmde.2020.30802.1460
Mohammad Hossein Akrami. "Dynamical behaviors of Bazykin-Berezovskaya model with fractional-order and its discretization". سامانه مدیریت نشریات علمی, 9, 4, 1400, 1013-1027. doi: 10.22034/cmde.2020.30802.1460
Akrami, Mohammad Hossein. (1400). 'Dynamical behaviors of Bazykin-Berezovskaya model with fractional-order and its discretization', سامانه مدیریت نشریات علمی, 9(4), pp. 1013-1027. doi: 10.22034/cmde.2020.30802.1460
Akrami, Mohammad Hossein. Dynamical behaviors of Bazykin-Berezovskaya model with fractional-order and its discretization. سامانه مدیریت نشریات علمی, 1400; 9(4): 1013-1027. doi: 10.22034/cmde.2020.30802.1460

Dynamical behaviors of Bazykin-Berezovskaya model with fractional-order and its discretization

Computational Methods for Differential Equations
مقاله 6، دوره 9، شماره 4، دی 2021، صفحه 1013-1027    اصل مقاله (745.14 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2020.30802.1460
نویسنده
Mohammad Hossein Akrami*
Department of Mathematics, Yazd University, 89195-741 Yazd, Iran.
چکیده
‎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.
کلیدواژه‌ها
Fractional-order dynamical system؛ Neimark-Sacker bifurcation؛ Flip bifurcation؛ Chaos
مراجع
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