Bifurcation analysis of the system with step f (u)
Bifurcation analysis of a first time delay chaotic system
... delay system with a constant time delay. We carry out stability analysis to identify the parameter zone for which the system shows a stable equilibrium ...the bifurcation analysis, the ...
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Stochastic bifurcation analysis in Brusselator system with white noise
... stochastic bifurcation of Brusselator system with multiplicative white ...original system is transformed into an Itô averaging diffusion ...original system is considered. And we investigate the ...
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Bifurcation Analysis for a Delayed Predator-Prey System with Stage Structure
... predator-prey system with stage structure is ...Hopf bifurcation and the stability of the bifurcating periodic solutions is derived by using the normal form and the center manifold ...theoretical ...
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Dynamical behavior and bifurcation analysis of a homogeneous reaction–diffusion Atkinson system
... Full list of author information is available at the end of the article Abstract In this paper, we are concerned with a homogeneous reaction–diffusion Atkinson oscillator system subject to homogeneous Neumann ...
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Bifurcation analysis of a three species ecological system with time delay and harvesting
... ecological system with time delay and ...Hopf bifurcation for the system are ...Hopf bifurcation are investigated using the center manifold theorem and normal form ...
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Bifurcation analysis of a predator prey system with sex structure and sexual favoritism
... predator-prey system with sex-structure and sexual favoritism is ...a bifurcation parameter, it is shown that a Hopf bifurcation can occur as it passes some critical value, and the stability of the ...
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Stability and bifurcation analysis of a tumor-immune system with two delays and diffusion
... tumor-immune system with di ffusion and delays is proposed in this ...the system undergoes Hopf bifurcation when delay passes through some critical ...Hopf bifurcation by applying the multiple ...
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Chaos control and Hopf bifurcation analysis of the Genesio system with distributed delays feedback
... Genesio system with distributed time delay feedback is ...the system is investigated by analyzing the characteristic equation, and then the existence of Hopf bifurcations is verified by choosing the mean ...
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Bifurcation Analysis of a Stage Structured Prey Predator System with Discrete and Continuous Delays
... A three-stage-structured prey-predator model with discrete and continuous time delays is studied. The characteristic equations and the stability of the boundary and positive equilibrium are analyzed. The conditions for ...
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Hopf Bifurcation Analysis for a Modified Time Delay Predator Prey System with Harvesting
... Abstract In this paper, we consider the direction and stability of time-delay induced Hopf bifurcation in a delayed predator-prey system with harvesting. We show that the positive equilibrium point is ...
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Bifurcation analysis in a diffusive predator–prey system with Michaelis–Menten type predator harvesting
... Hopf bifurcation analysis including the existence of Hopf bifurcation, bifurcation direction, and the stability of the bifurcating periodic solution by the theory of normal form and center ...
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Modelling and bifurcation analysis in a hybrid bioeconomic system with gestation delay and additive Allee effect
... prey–predator system, where commercial harvesting on predator and additive Allee effect on prey are ...of system are ...a bifurcation parameter, some sufficient conditions associated with additive Allee ...
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A nonlinear two species oscillatory system: bifurcation and stability analysis
... linearized system and it is indepen- dent of the parameter E involved with system ...The bifurcation theory plays a significant role in the be- haviour of nonlinear ...population system ...
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Differential Equation and Bifurcation Analysis
... the system has two limit cycles around the stable equilibrium (x + , y + ), the internal cycle is unstable while the external cycle is ...The bifurcation diagram of points out the existence of an hysteresis ...
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CiteSeerX — Bifurcation Analysis for Timesteppers
... r)N U ? u (H ? h) = RN U H ? RN H u ? RN U h ? N U Hr + O(u;h;r) 2 It may be that a continuous known branch of solutions U exists for all ...the system has a ...
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Hopf Bifurcation Analysis of the Repressilator Model
... Hopf bifurcation study of the repressilator model. The li- near analysis of the model yields analytical expressions for the steady state solu- tion and critical parameter ...the system to be close to ...
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Bifurcation Analysis of an Endogenous Growth Model
... Andronov-Hopf bifurcation is the birth of a limit cycle from an equilibrium in the dynamical ...Andronov-Hopf bifurcation are stable (supercritical bifurcation), there could be some unstable limit ...
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numerical toolbox for homoclinic bifurcation analysis.
... planar system arising from ecological modelling and a three-variable system proposed as a phenomenological model of chemical ...detailed step-by-step analysis of homoclinic bifurcations ...
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Bifurcation Analysis of Large Networks of Neurons
... g i with probability p 0 with probability 1 − p (3.36) when we have p = 1, the network is referred to as an all-to-all coupled network. When p 1, then the network is sparsely coupled. We will look at sparsely coupled ...
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Multi-parameter uncertainty analysis of a bifurcation point
... the system as a start- ing point, we first integrate the model until it reaches equilib- ...qualitative analysis using AUTO with this equilib- rium state and run a bifurcation analysis against ...
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