Abstract
On the basis of simple two-component nonlinear incommensurate fractional-order systems with positive and negative feedbacks, some general properties of fractional auto-oscillation systems are established. By linear stability analysis and numerical simulation, it is shown that fractional derivative orders and ratio between them can substantially change the stability conditions of the system and lead to appearing of complex oscillations and attractors, which cannot be found in their integer counterparts.
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Datsko, B. (2020). Complex Dynamics in Basic Two-Component Auto-Oscillation Systems with Fractional Derivatives of Different Orders. In: Malinowska, A., Mozyrska, D., Sajewski, Ł. (eds) Advances in Non-Integer Order Calculus and Its Applications. RRNR 2018. Lecture Notes in Electrical Engineering, vol 559. Springer, Cham. https://doi.org/10.1007/978-3-030-17344-9_8
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