Explore the N-Body Problem for Chaos

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To explore chaos in the n-body problem, one should identify the three necessary conditions for chaos, as outlined in chaos theory. It's important to note that simply being sensitive to initial conditions is insufficient for establishing chaos. There is no universal theory applicable to all n-body systems; each must be analyzed individually. Starting with Poincare's work on the stability of the solar system can provide valuable insights. Understanding these principles is crucial for studying chaotic behavior in n-body dynamics.
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When looking for chaos in the n body problem what should i do?
 
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look for the 3 required conditions for chaos. see http://en.wikipedia.org/wiki/Chaos_theory

Yes there are 3 criteria, it is not enough that a system is 'sensitive to initial conditions'

But warning there is no general theory for chaotic behaviour in n body systems each one needs to be analysed. You may like to start with the work of Poincare on the stability of the solar system and all the developments from that.

Regards

Sam
 
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