All Questions
5 questions
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Literature reference: example of stable and unstable manifolds in Henon-Heiles system
There is a quite classical description of chaotic systems based on the behaviour of stable and unstable manifolds around a stationary point of the Poincaré section. It is presented, for example, [here,...
0
votes
1
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81
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Books for memory mechanism of nonlinear systems?
The description of complex-systems aka dynamical-systems says:
In such systems, nonlinear interactions can lead to memory and feedback mechanisms, self-organized criticality, and chaotic behavior.
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6
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1
answer
6k
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Self-study book for dynamical systems theory?
What textbook would you recommend for a bachelor in theoretical physics to study dynamical systems theory? I don't want to focus too much on chaos, just having a broad view of every interesting ...
4
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0
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120
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Reference for the Landau-Lifshitz system
I'm interested in understanding the dynamics of the discrete Landau-Lifshitz system. It's solutions to equations like
$$\frac{\partial X_n}{\partial t} = X_n\times (X_{n-1}+X_{n+1})$$
where the $X_n$ ...
5
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1
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164
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Stability theory [closed]
I'm studying stability theory recently and met a lot of phrases like linear stability and nonlinear instability. After searching on Google, I became more confused. Thus I wonder if there is any ...