Consider with .

PHYSICS · Multi-part · Fermi University Physics · Mechanics & Dynamical Systems · Nonlinear dynamics and chaos · Nonlinear dynamics and chaos

Many Parts, One Behaviour, Ch Pattern formation: instabilities that choose a wavelength

Problem

Consider x˙=rx−2x3\dot x = rx - 2x^3 with r=0.8r = 0.8. ((a)) Find all fixed points. ((b)) Determine the stability of each.

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