空间扩展束-等离子体系统混沌的连续延迟反馈控制
Controlling chaos in spatially extended beam-plasma system by the continuous delayed feedback
摘要：
本文基于控制少自由度系统混沌的概念，讨论了空间扩展非线性系统（Pierce二极管流体模型）中复杂时空动力学的控制问题。提出的方法与少自由度系统的不稳定均匀平衡态和类似于混沌动力学不稳定周期轨道的不稳定时空周期态的镇定相联系。我们表明，这种方法是有效的，并允许实现所需的定期动态选择从所考虑的系统中的一些可能。
英文摘要：
In present paper we discuss the control of complex spatio-temporal dynamics in a {spatially extended} non-linear system (fluid model of Pierce diode) based on the concepts of controlling chaos in the systems with few degrees of freedom. A presented method is connected with stabilization of unstable homogeneous equilibrium state and the unstable spatio-temporal periodical states analogous to unstable periodic orbits of chaotic dynamics of the systems with few degrees of freedom. We show that this method is effective and allows to achieve desired regular dynamics chosen from a number of possible in the considered system.
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