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Implement the Lorenz-63 model in MATLAB, and solve numerically (using MATLAB’s ode45 or other built-in solver)...

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Advance Math

Implement the Lorenz-63 model in MATLAB, and solve numerically(using MATLAB’s ode45 or other built-in solver) for any random,non-zero initial conditions to reproduce, qualitatively, Figures 3and 4. Note that, as usual, you should label your axes and make theplots as “pretty” as possible.

The model equations are

dx/ dt = ?(y ? x),

dy /dt= x(??z)?y,

dz/dt = xy ? ?z.
Use parameter values ? = 10, ? = 28, and ? = 8/3.

Answer & Explanation Solved by verified expert
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Define function in Matlab as belowfunction lorenzclear all the pre defined variables and parametersclear allclear screenclcdefine the time scale0 1000define the initial conditions for the lorenz systemx0 01 01 01call the function as using ode45 methodTX ode45system0 100x0Plot the variables    See Answer
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