Hopf Bifurcation Control
Hopf Bifurcation Control in a Lorenz Type System
... paper Hopf bifurcation control is implemented in order to change the bifurcation from supercritical to subcritical in a differential equations system of Lorenz ...supercritical Hopf ...
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Hopf bifurcation control for a class of delay differential systems with discrete-time delayed feedback controller
... solutions, bifurcation and global existence of periodic solutions and chaotic behavior, have been researched ...the Hopf bifurcation using the basic theories in functional differential ...
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Hopf bifurcation analysis in a fractional order survival red blood cells model and \(\mathit{PD}^{\alpha} \) control
... Hopf bifurcation. When the delay transcends the threshold, a series of Hopf bifurcations occur at the positive ...the Hopf bifurcation ...of Hopf bifurcations. Therefore the ...
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HOPF BIFURCATION IN A CHEMICAL MODEL
... known, Hopf bifurcation gives rise to limit cycles, which represent typical oscillatory behaviors of many nonlinear systems in physical, social, economic, biological, and chemical ...modern control ...
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Hybrid control of Hopf bifurcation in a Lotka Volterra predator prey model with two delays
... the Hopf bifurcation control for a Lotka-Volterra predator-prey model with two delays is studied by using a hybrid control ...of Hopf bifurcation with respect to both delays are ...
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Chaos control and Hopf bifurcation analysis of the Genesio system with distributed delays feedback
... stable Hopf bifurcation occurs as the mean time delay reaches a certain ...the Hopf bifurcation oc- curs at, which is of great help when choosing appropriate parameter values to realize ...
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Stability and hopf bifurcation analysis of an epidemiological model incorporating delay and media coverage
... Thirdly, the time delay τ is a fixed time period, of which the recovered individual is in sus- ceptible people again. Time delay really impacts the peak value of infection. In Figure 2, we know that the higher value of τ ...
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Dynamical Analysis of a Hydraulic Pressure Relief Valve
... tion of this phenomenon. As far back as the 1960s re- searchers suspected that the piping to and from the relief valve cannot be neglected. Kasai [10] carried out a de- tailed investigation of a simple poppet valve and ...
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Bifurcation Analysis of Two Biological Systems: A Tritrophic Food Chain Model and An Oscillating Networks Model
... study bifurcation, nonlinear lateral stability and hunting behavior of vehicles in tangent ...of bifurcation theory, Hopf bifurcation is a very important type of bifurcation and often ...
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Bifurcation Analysis for a Two Dimensional Discrete Time Hopfield Neural Network with Delays
... a bifurcation anal- ysis has been studied for a two-dimensional discrete neural model with multidelays by applying the Euler method to continuous-time Hopfield neural networks with no self- ...
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The stability of codimension one bifurcations of the planar replicator equations
... generic Hopf bifurcation, the equivalence of such degenerate Hopf bifurcations has not been proved in the literature and therefore our results in Chapter 5 (proposition ...degenerate Hopf ...
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Bifurcation of macroeconometric models and robustness of dynamical inferences
... explored bifurcation stratification of Bergstrom and Wymer’s (1976) continuous time UK macroeconometric ...model. Bifurcation boundaries intersected the confidence region of the mod el’s parameter ...
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Analysing panel flutter in supersonic flow by Hopf bifurcation
... from Hopf bifurcation point of ...simple Hopf bifurcation for it. With the aid of Matlab and Hopf bifurcation tool, flutter and limit cycle oscillations of panel are ...Moreover, ...
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Hopf bifurcation in a environmental defensive expenditures model with time delay
... destabilizing process, in the sense that increasing the delay could cause the bio-economics to fluctuate. Formulas about the stability of bifurcat- ing periodic solution and the direction of Hopf ...
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Hopf bifurcation of a delayed worm model with two latent periods
... the Hopf bifurcation phenomenon and changes the behavior of a dynamical system from stable focus to limit cycle ...the Hopf bifurcation, also is very important for the transmission and ...
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Stability and Hopf bifurcation of a producer scrounger model with age structure
... The paper is organized as follows. In Section , a producer-scrounger model with age- structure in scrounger is derived. In Section , the basic theory, including existence, uniqueness, positivity and boundedness of ...
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Periodic pulse control of Hopf bifurcation in a fractional order delay predator–prey model incorporating a prey refuge
... Due to its complexity and diversity, many systems, such as communication systems, power systems, biological systems, network transmission systems, always inevitably show hysteresis: the rate of change of the current ...
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Bifurcation scenarios in semiconductor lasers subject to optical injection
... the Hopf bifurcation curve on Figure 6, we expect that the (up to this point) stable equilibrium obtained from the saddle-node bifurcation will lose its stability and become unstable as the complex ...
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Neural Excitability and Singular Bifurcations
... analytical bifurcation results provide important information for the compu- tational neuroscience ...SNIC bifurcation associated with type I excitability only exists in a small parameter ...
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Existence of periodic solutions of Boussinesq system
... The Boussinesq system is a very important model in fluid mechanics, which exhibits extremely rich phenomena, for example, Rayleigh-Bénard convection [–], geophys- ical fluid dynamics [, ] etc. A key problem in the ...
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