how to plot bifurcation diagram in matlab

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a=7.2*10^-6;
Gm=2.5*10^-2
Sp=2.75*10^-5;
yon=6*10^-2;
b=4.7;
son=4.5*10^-1;
B=10^-4;
vm=0:0.5:2.5;
gp=sinh(vm);
A=10^-10;
soff=1.3*10^-2;
beta=500;
yoff=1.3*10^-2
v=sawtooth(2*pi*1*t)
i=v.*(y*Gm+(1-y)*a.*exp(b*sqrt(abs(v))))
p=i.*v
dydt = B*sinh(v/son).*exp(-y.^2/yon^2).*exp(p/Sp)*heaviside(v)+...
A*sinh(v/soff).*exp(-yoff^2./y.^2).*exp(1/(1+beta*p))*heaviside(-v)
i want to bifurcation diagram for i,v
  1 个评论
Lazaros Moysis
Lazaros Moysis 2025-10-10,6:14
The best way to plot the bifurcation diagram is to use the local maxima method. Basically, you run a for loop, where each time you change the values of the system's parameter that you want to study. They you simulate the system, find the local maxima for a chosen state, and plot then in a graph. Once the for loop finishes, you can observe how many local maxima the system has for each parameter value. 1 local maxima means period-1 behavior, 2 local maxima means period-2 behavior and so on. Innumerable number of maxima means chaos

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回答(1 个)

Pranav Verma
Pranav Verma 2021-3-15
  1 个评论
Atish kumar Sethy
Atish kumar Sethy 2022-7-22
Hopf bifurcation for holling type problem matlab code
if avilable share the matlab code

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