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Zero-Hopf Bifurcations of 3D Quadratic Jerk System
Mathematics, 2020 This paper is devoted to local bifurcations of three-dimensional (3D) quadratic jerk system. First, we start by analysing the saddle-node bifurcation. Then we introduce the concept of canonical system.
Bo Sang, Bo Huang
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Hopf-zero bifurcation of Oregonator oscillator with delay
Advances in Difference Equations, 2018 In this paper, we study the Hopf-zero bifurcation of Oregonator oscillator with delay. The interaction coefficient and time delay are taken as two bifurcation parameters. Firstly, we get the normal form by performing a center manifold reduction and using
Yuting Cai, Liqin Liu, Chunrui Zhang
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Stability and Bifurcation Analysis in a Class of Two-Neuron Networks with Resonant Bilinear Terms
Abstract and Applied Analysis, 2011 A class of two-neuron networks with resonant bilinear terms is considered. The stability of the zero equilibrium and existence of Hopf bifurcation is studied.
Changjin Xu, Xiaofei He
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Abstract and Applied Analysis, 2014 We consider a predator-prey system with Michaelis-Menten type functional response and two delays. We focus on the case with two unequal and non-zero delays present in the model, study the local stability of the equilibria and the existence of Hopf ...
Yunxian Dai, Yiping Lin, Huitao Zhao
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On the interaction of a system with multifrequency oscillations with a chaotic generator [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамикаThe purpose of the work: to study the influence of the dynamics of a chaotic system on a system with multi-frequency quasi-periodicity and the Landau-Hopf scenario.
Kuznetsov, Aleksandr Petrovich +1 more
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Hopf bifurcation on one of tumor models
Lietuvos Matematikos Rinkinys, 2005 The article deals with qualitative analysis of model of pulsing tumor. The model is described by the system of second order differential equations.
Algis Kavaliauskas
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Hopf Bifurcation Analysis for a Four-Dimensional Recurrent Neural Network with Two Delays
Journal of Applied Mathematics, 2013 A four-dimensional recurrent neural network with two delays is considered. The main result is given in terms of local stability and Hopf bifurcation. Sufficient conditions for local stability of the zero equilibrium and existence of the Hopf bifurcation ...
Zizhen Zhang, Huizhong Yang
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Advances in Difference Equations, 2017 In this paper, we consider a two-dimensional predator-prey model with a time delay and square root response function. We analyze the stability of equilibria with the delay τ increasing and the critical value of τ when Hopf bifurcation occurs. Because the
Xinyu Zhu +3 more
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Delayed Feedback Control and Bifurcation Analysis of an Autonomy System
Abstract and Applied Analysis, 2013 An autonomy system with time-delayed feedback is studied by using the theory of functional differential equation and Hassard’s method; the conditions on which zero equilibrium exists and Hopf bifurcation occurs are given, the qualities of the Hopf ...
Zhen Wang, Huitao Zhao, Xiangyu Kong
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Traveling waves in a parabolic problem with a rotation on the circle [PDF]
Компьютерные исследования и моделирование, 2017 Optical systems with two-dimensional feedback demonstrate wide possibilities for studying the nucleation and development processes of dissipative structures.
Yuliya Aleksandrovna Khazova
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