Results 21 to 30 of about 431 (175)
Discretization analysis of bifurcation based nonlinear amplifiers [PDF]
Advances in Radio Science, 2017 Recently, for modeling biological amplification processes, nonlinear amplifiers based on the supercritical Andronov–Hopf bifurcation have been widely analyzed analytically.
S. Feldkord, M. Reit, W. Mathis
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Neimark–Sacker bifurcation of a chemotherapy treatment of glioblastoma multiform (GBM) [PDF]
Advances in Difference Equations, 2019 Abstract In this paper, we propose a system of differential equations with piecewise constant arguments to describe the growth of GBM under chemotherapeutic treatment and the interaction among the glial cells, the cancer cells, and the chemotherapeutic agents. In this work, the cancer cells are considered as two populations: the sensitive
Bozkurt Yousef, Fatma, Yousef, Ali
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Entropy, 2017 Wind-induced vegetation patterns were proposed a long time ago but only recently a dynamic vegetation-sand relationship has been established. In this research, we transformed the continuous vegetation-sand model into a discrete model.
Feifan Zhang +4 more
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Discrete Dynamics in Nature and Society, 2018 We present in this paper an investigation on a discrete predator-prey system with Crowley-Martin type functional response to know its complex dynamics on the routes to chaos which are induced by bifurcations.
Huayong Zhang +5 more
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Numerical bifurcation and hybrid control of a Gompertz model with time delay
Journal of Hebei University of Science and Technology, 2019 In order to study the stability of species, the biological systems are required to reduce or expand the stable region. For a Gompertz model with time delay, a hybrid control Euler method is proposed in which state feedback and parameter perturbation are ...
Jizhi SONG, Yuanyuan WANG
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Journal of Physics: Conference Series, 2008 The coefficients of the simplest normal forms of both high-dimensional Neimark-Sacker and generalized Neimark-Sacker bifurcation systems were discussed. On the basis of the simplest normal form theory, using appropriate nonlinear transformations, direct computation and the second complete induction, the central manifold equations were further reduced ...
Q-C Zhang, R-L Tian
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Analyzing Predator-Prey Interaction in Chaotic and Bifurcating Environments
Chaos Theory and Applications, 2023 An analysis of discrete-time predator-prey systems is presented in this paper by determining the minimum amount of prey consumed before predators reproduce, as well as by analyzing the system's stability and bifurcation. In order to investigate the local
Abdul Khaliq, Ansar Abbas
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From Hopf to Neimark Sacker bifurcation: a computational algorithm [PDF]
International Journal of Computing Science and Mathematics, 2008 To be published in International Journal of Computing Science and Mathematics Volume 1, No.
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Bifurcation Analysis for a Two-Dimensional Discrete-Time Hopfield Neural Network with Delays
International Journal of Mathematics and Mathematical Sciences, 2007 A bifurcation analysis is undertaken for a discrete-time Hopfield neural network with four delays. Conditions ensuring the asymptotic stability of the null solution are obtained with respect to two parameters of the system.
Yaping Ren, Yongkun Li
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NEIMARK-SACKER BIFURCATION OF A SEMI-DISCRETE HEMATOPOIESIS MODEL
Journal of Applied Analysis & Computation, 2018 Summary: In this paper, we derive a semi-discrete system for a nonlinear model of blood cell production. The local stability of its fixed points is investigated by employing a key lemma from [\textit{C. Wang} and \textit{X. Li}, J. Appl. Anal. Comput. 4, No. 4, 419--435 (2014; Zbl 1323.92193), J. Math. Anal. Appl. 422, No.
Li, Wei, Li, Xianyi
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