延迟反馈下皮尔斯二极管的复杂动力学行为及状态控制研究
Investigation of the complex dynamics and regime control in Pierce diode with the delay feedback
摘要：
本文研究了延迟反馈作用下皮尔斯二极管在过临界电流下的动态特性。没有反馈的系统表现出复杂的行为，包括混沌状态。振荡制度控制的可能性取决于延迟反馈参数值。本文还描述了电子束行为的有限维模型的建设，这是基于线性模式展开的伽辽金近似。该模型的动态特性接近于分布式模型的动态特性。
英文摘要：
In this paper the dynamics of Pierce diode with overcritical current under the influence of delay feedback is investigated. The system without feedback demonstrates complex behaviour including chaotic regimes. The possibility of oscillation regime control depending on the delay feedback parameter values is shown. Also the paper describes construction of a finite-dimensional model of electron beam behaviour, which is based on the Galerkin approximation by linear modes expansion. The dynamics of the model is close to the one given by the distributed model.
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