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challenge: understand this. complexity studies turns a person into a crazy monster :S"But, and according to Hartman-Grobman theorem, as the linearization of the system produced a non-hyperbolic fixed point (fixed point of the center type) we can?t correlate the behavior of the linearized system with the original system. With a numerical analysis of the dynamical system (with the
of computer models) an unstable spiral emerges, with sensibility to the initial conditions."