What to include in a report on Chaos Theory

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I have to conduct a physics research report on Chaos Theory. From background reading i understand it to be a very maths based topic so my question is how do i relate chaos theory to physics? What sort of sub topics should i be researching?

Any responses greatly appreciated!
 
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Most physical systems are chaotic. The double pendulum is the sort of canonical example, but look in any textbook on analytical mechanics and they usually have numeros examples of chaotic mechanical systems. One of the more explicit connections between physics and chaos is the concept of entropy.