MATLAB: Using Runge Kutta function to solve Rossler equations chaotic dynamicschaotic systemsexplicit methodslorenz equationsrossler equationrunge kutta I have created a runge kutta 4th order function by so Best Answer Write your f function asx'(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=0.01f = @(t,y) [ -y(1)-y(2) a*y(1)+y(2) b+y(3)*(y(1)-c) ]; Related SolutionsMATLAB: Runge kutta method for differantial equations systems y0 = [1, 2];[T, Y] = ode45(@OdeFcn, [0, 0.1], y0);plot(T, Y);function dy = OdeFcn(t,y)dy = [(10 * sin(314 * t) - 5 * y(1) - y(2)) / 0.01; ... 1000 * y(1)];end MATLAB: How to plot 2 differential equations See ode45()tspan = [0, 40];ic = [80; 100];[t, Z] = ode45(@odeFun, tspan, ic);x = Z(:,1); % x solutiony = Z(:,2); % y solutionhold onplot(t, x, 'ro-');plot(t, y, 'bv-');legend({'x', 'y'})function dZdt = odeFun(t, Z) % Z(1) => x, Z(2) => y x = Z(1); y = Z(2); dxdt = 0.5*x - 0.01*x*y; dydt = -0.5*y + 0.01*x*y; dZdt = [dxdt; dydt];end Related QuestionHow to call functions properly: Index in position 1 is invalid. Array indices must be positive integers or logical values.
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