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Hopf Bifurcation and Chaos in Tabu Learning Neuron Models [PDF]
, 2004 In this paper, we consider the nonlinear dynamical behaviors of some tabu leaning neuron models. We first consider a tabu learning single neuron model. By choosing the memory decay rate as a bifurcation parameter, we prove that Hopf bifurcation occurs in
CHUNGUANG LI +6 more
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Nonlinear Analysis: Modelling and Control, 2022 In the present study, we deal with the stability and the onset of Hopf bifurcation of two type delayed BAM neural networks (integer-order case and fractional-order case).
Changjin Xu +7 more
semanticscholar +1 more source
Experiment and Theoretical Analysis Study of ETFE Inflatable Tubes
International Journal of Aerospace Engineering, 2014 The load bearing capacity of an ETFE (ethylene-tetra-fluoro-ethylene) inflatable tube is tested in this paper, and a comparative study of two wrinkling theories, the bifurcation theory and the tension field theory, is carried out for wrinkling analysis ...
YanLi He, WuJun Chen
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Electronic Research Archive, 2023 In this paper, a discrete predator-prey model incorporating Allee effect and cannibalism is derived from its continuous version by semidiscretization method.
Zhuo Ba , Xianyi Li
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Using Bifurcation Theory for Exploring Pain
bioRxiv, 2019 Pain is a common sensation which inescapably arises due to injuries, as well as, various diseases and disorders. However, for the same intensity of disturbance arising due to the forgoing causes, the threshold for pain sensation and perception varies ...
Parul Verma +3 more
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Stability and Hopf Bifurcation Analysis of a Vector-Borne Disease with Time Delay
Journal of Applied Mathematics, 2014 A delay-differential modelling of vector-borne is investigated. Its dynamics are studied in terms of local analysis and Hopf bifurcation theory, and its linear stability and Hopf bifurcation are demonstrated by studying the characteristic equation.
Yuanyuan Chen, Ya-Qing Bi
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Advances in Difference Equations, 2020 A synthetic drug transmission model with psychological addicts and time delay is proposed in this paper. By analyzing the corresponding characteristic equation and choosing the time delay as the bifurcation parameter, a set of sufficient criteria ...
Zizhen Zhang, Fangfang Yang, Wanjun Xia
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Dynamical Analysis of the Lorenz-84 Atmospheric Circulation Model
Journal of Applied Mathematics, 2014 The dynamical behaviors of the Lorenz-84 atmospheric circulation model are investigated based on qualitative theory and numerical simulations. The stability and local bifurcation conditions of the Lorenz-84 atmospheric circulation model are obtained.
Hu Wang, Yongguang Yu, Guoguang Wen
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Stability and bifurcation analysis for a single-species discrete model with stage structure
Advances in Difference Equations, 2018 In this paper, a single-species discrete model with stage structure is investigated. By analyzing the corresponding characteristic equations, the local asymptotic stability of non-negative equilibrium points and the existence of flip bifurcation are ...
Daiyong Wu, Min Zhao, Hai Zhang
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Global Hopf bifurcation for differential-algebraic equations with state dependent delay
, 2017 We develop a global Hopf bifurcation theory for differential equations with a state-dependent delay governed by an algebraic equation, using the $S^1$-equivariant degree.
Hu, Qingwen
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