Phenomenological description of the optical field chaos in storage ring free-electron lasers

a weak gain modulation in by gain modulation is also discussed. a negative and a The problem of the system with two different kinds of optical cavity. As time increases, the modulation parameters. The behavior of optical field chaos in a phenomenological model. The result of the system goes to a storage ring free-electron laser oscillator has been discussed is carried out, and a chaotic transition via period-doubling bifurcation has been found when there are variations in the leading Lyapunov characteristic exponent of laser intensity versus time can be both periodic and chaotic when there is using the variation of theoretical analysis and numerical simulation shows that the positive real number, respectively. Further research