What is the aim of calculating equilibrium points in a three dimension chaotic system?

13 April 2017 1 3K Report

When we calculate the equilibrium in one or two dimensional systems our purpose is to find the steady state of the system, but in a chaotic system, steady state is independent of equilibrium points. Then what is the purpose of calculating the equilibrium?

Thanks in advance

Rafael Labarca

Could be that the non transversal intersections of the invariant manifolds of the equilibrium point generate the chaotic behavior.

Example Shilnikov singularities

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