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Using Runge Kutta function to solve Rossler equations

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jacob Mitch
jacob Mitch on 8 Nov 2019
Edited: jacob Mitch on 12 Nov 2019
I have created a runge kutta 4th order function by so

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darova
darova on 8 Nov 2019
HOw it looks like? Did you write it correctly?
jacob Mitch
jacob Mitch on 8 Nov 2019
yes I believe my function rk4 is perfect but Im not sure how to use it to solve the Rossler equations for initial conditions

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Accepted Answer

darova
darova on 8 Nov 2019
Write your f function as
x'(t)=-x(t)-y(t)
y'(t)=ax(t)+y(t)
z'(t)=b+z(t)(x(t)-c)
%where I fix parameters say c=5, b=3, a=0.2 Xˆ = (0, 0, 0.2)^T time interval [0,250] and step size h=0.01
f = @(t,y) [ -y(1)-y(2)
a*y(1)+y(2)
b+y(3)*(y(1)-c) ];

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