% The Matlab Codes for the forward bifurcation diagram Rev_value=0.018:0.01:4; Root_array=zeros (length (Rev_value), 2); qI=0.001923; qA=0.00000004013; etaA=0.1213; etaQ=0.003808; w=0.5925; Lambda=0.1598643e-7; theta=0.022; delta=0.125; mu=0.01119; pi=0.464360344; deltaQ=6.847e-4; ...
Breda, D., Maset, S., Rossana, V.: A numerical approach with MATLAB. Springer, Stability of linear delay differential equations (2014) El-Baghdady, G.I., El-Azab, M.S.: Chebyshev–Gauss–Lobatto pseudo-spectral method for one-dimensional advection–diffusion equation with variable coefficients...
MATLAB Bifurcation diagram calcullation for ODE-system. matlabchaosodebifurcation UpdatedOct 30, 2017 MATLAB in this repository, we learn about the paper titled "bifurcation analysis of a predator-prey system with self-and cross-diffusion and constant harvesting rate". we calculate equilibrium points ...
To be able to plot a bifurcation diagram of a particular solution, it is initially necessary to locate this solution and then to follow it according to a bifurcation parameter. The developed computation code, resulting from the implementation of the Galerkin method jointly with the pseudo-arclength...
as predicted by the bifurcation diagram of such a system. This suggests that the phase portraits of the collective dynamics of spiking networks are similar to those of the representative GLV systems, as the parameters of the system change. In other words, the topology of the flows in these ...
Random variates were generated with the Matlab code of Mark Veillette54 until a variate was in the range [0, 1). The model was solved numerically in MATLAB using the ode45 Runge–Kutta method and model "diameter maps" (Fig. 5B) show the value of the v variable....
kHz. The data is then processed in custom-written Matlab code. We implement the alternate pacing protocol experimentally by repeatedly carrying out the following steps: 1) We pace at B 0 for two minutes, during which we record the transient ...
MATLAB Simulink code was built to integrate the equations. As a result, a Hopf bifurcation was found and a sub-harmonic limit cycle appeared spontaneously. The rotational speed and such other properties as the unbalancedforce and the damping of the supporting structures were parameterized to ...
Figure 1. Complete universal FShM bifurcation diagram of nonlinear system of differential equations. If a system of equations is strongly dissipative, then, as a rule, a complete cascade of Sharkovsky bifurcations and a complete (or incomplete) homoclinic cascade of bifurcations are realized in th...
The pchip function interpolation in the MATLAB software was used for this purpose, while maintaining linear interpolation and a multi-variative orthogonal function. Block interpolation was also implemented using a 3rd-order spline function. Owing to the structure of the “Bee”, which only has el...