On the analysis of hopf bifurcations
Web14 de abr. de 2014 · We consider a model for gene expression with one or two time delays and diffusion. The local stability and delay-induced Hopf bifurcation are investigated. We also derive the formulas determining the direction and the stability of Hopf bifurcations by calculating the normal form on the center manifold. Web11 de abr. de 2024 · Journal of Theoretical Biology. Available online 11 April 2024, 111489, 111489
On the analysis of hopf bifurcations
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WebIn the present study, we analyze the dynamics of a four-dimensional generalized Lorenz system with one variable describing the profile of the magnetic field induced in a … Web31 de out. de 2024 · As a result, there must be a Hopf bifurcation when β = β 1 ∈ (β 0, β max) or equally . As an example, this theorem can be observe in the plot of Fig 5. It is straightforward to examine that these parameters satisfy the conditions of this theorem, and β 0 = .04 and β max ≈.06154. Obviously, there are two Hopf bifurcations in this case.
WebAs the parameters vary, the model can undergo three types degenerate Bogdanov-Takens bifurcations of codimension 3 (cusp, focus and elliptic cases), and degenerate Hopf bifurcation of codimension 3.
Web1 de jan. de 1983 · The oscillatory instability and the family of limit cycles associated with a general autonomous dynamical system described by n nonlinear first order differential … Web1 de mar. de 2015 · Stability, Hopf bifurcations and spatial patterns in a delayed diffusive predator–prey model with herd behavior. Author links open overlay panel Xiaosong Tang a b, Yongli Song a. ... We mainly focus on the stability analysis of the coexisting states and the existence of Hopf bifurcation through the characteristic equation, ...
WebHopf bifurcation. Many studies have shown that these bifurcations are supercritical, but, by using simulations in a comoving frame of reference, we present numerical results which show that subcritical bifurcations are also present within FitzHugh-Nagumo. We show that a hysteresis region is present at the boundary of the rigidly
Web27 de jan. de 2024 · We introduce a numerical technique for controlling the location and stability properties of Hopf bifurcations in dynamical systems. The algorithm consists of … biometric installation services in hyderabadWeb12 de nov. de 2024 · This paper presents an investigation on the dynamics of a delayed diffusive competition model with saturation effect. We first perform the stability analysis of the positive equilibrium and the existence of Hopf bifurcations. It is shown that the positive equilibrium is asymptotically stable under some conditions, and that there exists … daily somersWebIn the present study, we analyze the dynamics of a four-dimensional generalized Lorenz system with one variable describing the profile of the magnetic field induced in a convected magnetized fluid. I daily soniaWeb19 de dez. de 2024 · Abstract. Nonlinear vibrations of a heat-exchanger tube modeled as a simply supported Euler–Bernoulli beam under axial load and cross-flow have been studied. The compressive axial loads are a consequence of thermal expansion, and tensile axial loads can be induced by design (prestress). The fluid forces are represented using an … biometric installers in birminghamWeb30 de out. de 2012 · In this technical note, the Hopf bifurcation in a new Lorenz-type system is studied. By analyzing the characteristic equations, the existence of a Hopf bifurcation … daily solutions oatmeal moisturizing lotionWebWith the parameters ,,,,, and , we obtain the phase portrait shown in Figure 2(b) with two endemic equilibria. The first one, a saddle point, has an approximate value of , and the second one, a stable node, has an approximate value of . For this set of parameters, and . Theorem 10 indicates that if we increase in order to obtain , we have a backward … biometric installerWeb12 de abr. de 2024 · Continuous lines correspond to the bifurcations of the homogeneous manifold given by Eq (38) obtained with AUTO-07p: saddle-node on an invariant cycle (SNIC, dark blue), supercritical Hopf (HB+, continuous red), subcritical Hopf (HB-, dashed red), saddle-node (SN, brown), and homoclinic (Hom., purple). daily sora