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

\dot x = rx - x^2

with

r = 0.5

. ((a)) Find the fixed points. ((b)) Determine the stability of each from the sign of

f'(x^*)