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用自洽方程模拟了波 粒相互作用过程中的电子混沌行为 .结果表明 :随着电流的增大 ,电子在相空间的运动轨道将变得混沌 ,混沌轨道受失谐量的影响 .在时间上 ,电子混沌比场的极限环和混沌振荡出现要早 .与场出现极限环振荡的电流阈值相比 ,出现电子混沌的电流阈值要小 ;在场呈极限环状态的“软”非线性区域 ,电子的混沌轨道占据大部分相空间 ;而在场混沌的“硬”非线性区域 ,混沌轨道则弥漫在整个相空间 .当电流一定时 ,电子的混沌运动图样是不变的 ;在一定的电流范围内 ,场的极限环和混沌振荡特征是确定的 ,但它们的输出功率是不确定的
The self-consistent equations are used to simulate the electronic chaotic behavior of the wave-particle interaction. The results show that with the increase of the current, the electron orbit in the phase space will become chaotic and the chaotic orbit will be affected by the detuning. The electronic chaos is earlier than the limit cycle and the chaos oscillation of the field.The current threshold of the electronic chaos is smaller than the current threshold of the limit cycle oscillation in the field.The nonlinear region of soft in the presence of the limit cycle, The electronic chaotic orbit occupies most of the phase space; while in the “hard” non-linear region of the chaos, the chaotic orbit is filled in the entire phase space. When the current is constant, the chaotic motions of the electrons are invariant; in a certain current range The limit cycles and chaotic oscillations of the field and the field are determined, but their output power is indeterminate