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Im doing a project about chaos theory. Over the past few weeks ive built a Lorenzian waterwheel (its a waterwheel with buckets with holes in them, it shows chaotic behaviour.) One of the aims of the experiment was to try and plot the Lorenz attractor. The lorenz attractor is a strange attractor, its a path in phase space that has a fractal pattern.

So basically the graph i want to plot has as its axis: the angular velocity of the wheel (thats fine) and the x and y fourier components of the mass distribution of water

Ive got data from a CCD camera and pixel counting software. Its an array of data in 180 columns showing the mass of water at each angle about the centre of the wheel at different times

I dont really know where to start.

We dont do Fourier analysis until next year so im not too certain about it as a topic. It's not essential I get this to work, but it would be great if it did.

Someone also suggested using delay coordinates (i.e plotting x(t) vs x(t+1) etc) Can someone explain how/why that would work?

Or any other clever ideas about data analysis i could do on my results?

I apologise if this is impossible to answer. I guess you might need some knowledge about chaos theory and the lorenz attractor to understand what im going on about. But even then, i dont really know what im talking about

Any help would be appreciated, I need to get the report written by Monday

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# Homework Help: Fourier analysis of my experimental data

Can you offer guidance or do you also need help?

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