Universal Transition from Order to Chaos and Applications in Plasma Physics.

摘要

We have proven, using renormalization theory, that coupled nonlinear systems exhibit universal behavior as the strength parameter and coupling parameters are varied. This qualitative as well as quantitative universality has a wide range of applicability, in particular the limits of parameter ranges where free electron lasers can produce coherent waves (no chaos in electron motion) has also been studied and the results published.