Andronov-Hopf bifurcation
Andronov Hopf bifurcation and sensitivity analysis of a time delay HIV model with logistic growth and antiretroviral treatment
... that Andronov-Hopf bifurcations associated with this time delay in procession can produce limit cycle behavior with periods similar to the viral blip ...
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Discretization analysis of bifurcation based nonlinear amplifiers
... an Andronov–Hopf system can be generalized to either an insertion f (g(z)) or an addition b · f (z) + c · g(z) with f , g ∈ A and b, c ∈ C ...the Andronov–Hopf bifurcation to a ...
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Robustness and Stability of Limit Cycles in a Class of Planar Dynamical Systems
... an Andronov-Hopf bifurca- tion point for non-degeneracy and stability is quite widespread in the literature in natural ...testing Andronov-Hopf bifurcation for non-degeneracy and ...an ...
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Zero Hopf bifurcation and Hopf bifurcation for smooth Chua’s system
... People have noticed that the research of Chua’s circuit relies heavily on computer nu- merical simulations. Many fundamental questions, such as complex chaotic behavior and the existence of a global attractive compact ...
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HOPF BIFURCATION IN A CHEMICAL MODEL
... term Hopf bifurcation (also sometimes called Poincare Andronov-Hopf bifurcation) refers to the local birth or death of a periodic solution known as limit cycles from equilibrium as a ...
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Stability and Hopf bifurcation of a predator-prey model
... In this paper, we study a class of predator-prey model with Holling-II functional response. Firstly, by using linearization method, we prove the stability of nonnegative equilibrium points. Secondly, we obtain the ...
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Robustness and Stability of Limit Cycles in a Class of Planar Dynamical Systems
... Finally, we also point out that these results can be more generally applied to the broader class of economic applications of planar dynamical systems of the type described in section 2 and characterized by the ...
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Neural Excitability and Singular Bifurcations
... singular Andronov–Hopf bifurcation with respect to the parameter a, the growth of the limit cycles is, however, bounded as one approaches a homoclinic connection towards one of these additional ...
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Bifurcation Analysis of Two Biological Systems: A Tritrophic Food Chain Model and An Oscillating Networks Model
... Hopf bifurcation is also known as Poincar´e-Andronov-Hopf bifurcation, named after Henri Poincar´e, Eberhard Hopf, and Aleksandr Andronov ...cations, Hopf ...
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Hopf zero bifurcation of Oregonator oscillator with delay
... the Hopf-zero bifurcation of Oregonator oscillator with ...the bifurcation diagrams and phase ...saddle-node bifurcation and pitchfork bifurcation occur along M and N, respectively; ...
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Hopf Bifurcation Control in a Lorenz Type System
... apply Hopf Bifurcation Control to the system (3) in order to change the Hopf bifurcation from supercritical to subcritical, by using non-lineal control laws in state ...for Hopf ...
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Stability and Bifurcation Analysis in A SEIR Epidemic Model with Nonlinear Incidence Rates
... a Hopf bifurcation ...the Hopf bifurcation is stable, then this shows that the susceptible, exposed (latent), infectious host populations may coexist and keep in an oscil- latory ...
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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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The stability of codimension one bifurcations of the planar replicator equations
... for bifurcation theory in [ 4 1 and C 5 ], which we have adapted to our ...degenerate Hopf bifurcations and exchange of stability (transcritical ) bifurcations are ...
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Bifurcation of macroeconometric models and robustness of dynamical inferences
... solution is saddle path stable with no possibility of bifurcation within the feasible parameter set. In section 7.3, Barnett and Ghosh (2013) conduct bifurcation analysis on a variant of the Jones (2002) ...
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Dynamical Analysis of a Hydraulic Pressure Relief Valve
... two Hopf bifurcation points, but now the higher-q one (at the unphysically large value of q = ...q bifurcation (at q = ...supercritical bifurcation only exists for a short interval of q-values ...
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Stability and hopf bifurcation analysis of an epidemiological model incorporating delay and media coverage
... and Hopf bifurcation for system (3) with delay are investigated by using the theory of characteristic ...exists Hopf bifurcations. Conditions of the existence of Hopf bifurcation and ...
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Bifurcation and chaos of an SIS model with logistic term
... using bifurcation theory and center manifold theory [19- ...transcritical bifurcation, flip bifurcation, Hopf bifurcation types and ...
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On the stability and Hopf bifurcation of a predator prey model
... The organization of this paper is as follows. In Section , we give the stability analysis of feasible equilibria and find the existence of a Hopf bifurcation at the coexistence equilib- rium. The stability ...
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Center Manifold Reduction of the Hopf-Hopf Bifurcation in a Time Delay System
... supercritical Hopf bifurcation), and quasiperiodic ...the Hopf-Hopf bifurcation that results when two parameters (corresponding to the speed of sound in the fluid and the delay ...
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