Chaotic Dynamics and Control of a Discrete-Time Chen System

نویسندگان

چکیده

We investigate a discrete-time Chen system. First, we give the topological classifications of fixed points this Then, analytically show that discrete system underlies Neimark–Sacker (NS) bifurcation and period doubling (PD) under specific parametric circumstances. confirm existence PD NS via explicit PD-NS criterion determine direction both bifurcations with help center manifold theory. performed numerical simulations to our analytical results. Furthermore, use 0-1 chaos test quantify whether there is in or not. At end, hybrid control strategy OGY (Ott, Grebogi, Yorke) method are applied eliminate chaotic trajectories

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ژورنال

عنوان ژورنال: Mathematical Problems in Engineering

سال: 2023

ISSN: ['1026-7077', '1563-5147', '1024-123X']

DOI: https://doi.org/10.1155/2023/7795246