Abstract
After a brief reminder of the Lyapunov-Schmidt procedure of bifurcation theory, the adiabatic elimination technique and scaling procedures, the basic content of the slaving principle is mentioned. Then it is shown how close to instability points the state vector that obeys a nonlinear evolution equation can be parametrized by order parameters (slaving principle). It is shown how this parametrization as well as the order parameter equations can be derived in a straightforward and simultaneous way.
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