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Hoti, Marvin. (1401). Analysis of non-hyperbolic equilibria for Caputo fractional system. سامانه مدیریت نشریات علمی, 10(2), 298-306. doi: 10.22034/cmde.2021.41486.1799
Marvin Hoti. "Analysis of non-hyperbolic equilibria for Caputo fractional system". سامانه مدیریت نشریات علمی, 10, 2, 1401, 298-306. doi: 10.22034/cmde.2021.41486.1799
Hoti, Marvin. (1401). 'Analysis of non-hyperbolic equilibria for Caputo fractional system', سامانه مدیریت نشریات علمی, 10(2), pp. 298-306. doi: 10.22034/cmde.2021.41486.1799
Hoti, Marvin. Analysis of non-hyperbolic equilibria for Caputo fractional system. سامانه مدیریت نشریات علمی, 1401; 10(2): 298-306. doi: 10.22034/cmde.2021.41486.1799

Analysis of non-hyperbolic equilibria for Caputo fractional system

Computational Methods for Differential Equations
مقاله 1، دوره 10، شماره 2، تیر 2022، صفحه 298-306    اصل مقاله (136.08 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2021.41486.1799
نویسنده
Marvin Hoti*
Department of Mathematics, Ryerson University, Toronto, Canada.
چکیده
In this manuscript, a center manifold reduction of the flow of a non-hyperbolic equilibrium point on a planar dynamical system with the Caputo derivative is proposed. The stability of the non-hyperbolic equilibrium point is shown to be locally asymptotically stable, under suitable conditions, by using the fractional Lyapunov direct method.
کلیدواژه‌ها
Caputo derivative؛ Stability؛ Center manifold
مراجع
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