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Neimark–Sacker bifurcation of discrete Pielou model with delay
Journal of Difference Equations and ApplicationsZhimin He
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Neimark–Sacker Bifurcation of Discrete Fractional Chaotic Systems
International Journal of Bifurcation and ChaosFractional chaotic maps have been recently proposed to describe long-memory effects. However, their bifurcation analysis is complicated. This paper considers a linearized system and introduces necessary and sufficient conditions of Neimark–Sacker (N–S) bifurcation by complex analysis method.
Guo-Cheng Wu 0001 +2 more
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Control of Neimark-Sacker Bifurcation in One Cycle Controlled Cuk Converters
2020 IEEE 29th International Symposium on Industrial Electronics (ISIE), 2020One cycle controlled Cuk converters are prone to exhibit slow-scale oscillations caused by Neimark-Sack bifurcation in the input stage of the converter. In this paper, sampled-data model is applied to analyze the dynamics of Cuk converters. And a novel control method is presented for eliminating the bifurcation from the perspective of improving the ...
Yongliang Guo, Lei Wang 0109, Q. H. Wu
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A FREQUENCY-ANALYTIC APPROACH FOR CONTROLLING NEIMARK-SACKER BIFURCATIONS
IFAC Proceedings Volumes, 2006Abstract A frequency-analytic methodology for controlling the amplitudes and stability of Neimark-Sacker bifurcations exhibited by discrete-time systems is presented. The proposed controller consists of a nonlinear static feedback law and a highpass filter used to preserve the dynamical behaviors of the system's equilibria.
María Belén D'Amico +3 more
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Neimark-Sacker bifurcation and control of a discrete epidemic model
2010 2nd International Asia Conference on Informatics in Control, Automation and Robotics (CAR 2010), 2010In this paper, a discrete epidemic model with nonlinear incidence rate obtained by the forward Euler method is investigated. The conditions of existence for Neimark-Sacker bifurcation are derived by using bifurcation theory. In order to eliminate the Neimark-Sacker bifurcation of the discrete epidemic model, a tracking controller is designed such that ...
null Na Yi +3 more
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Global stability and Neimark-Sacker bifurcation of a host-parasitoid model
International Journal of Systems Science, 2016We investigate qualitative behaviour of a density-dependent discrete-time host-parasitoid model. Particularly, we study boundedness of solutions, existence and uniqueness of positive steady-state, local and global asymptotic stability of the unique positive equilibrium point and rate of convergence of modified host-parasitoid model.
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A Neimark--Sacker bifurcation in a discrete SIS model
Mathematica Applicanda, 2023openaire +1 more source
Memristive Hénon map with hidden Neimark–Sacker bifurcations
Nonlinear Dynamics, 2022Kang Rong +4 more
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