CAJ | 학술논문

本文详细分析了一个具有粘弹性项的非线性振子的动力学与控制。首先研究了系统平衡点的稳定性，表明系统存在复杂的无界动力学行为。然后引入时滞速度反馈对这个不稳定系统进行控制。研究结果表明速度反馈控制能镇定此不稳定的粘弹性系统。适当的选择控制增益和控制时滞，控制系统有稳定的平衡点，由Hopf分岔产生的周期解，拟周期解，并能展现出复杂的混沌解。数值模拟验证了结论的正确性。
본문상세분석료일개구유점탄성항적비선성진자적동역학여공제。수선연구료계통평형점적은정성，표명계통존재복잡적무계동역학행위。연후인입시체속도반궤대저개불은정계통진행공제。연구결과표명속도반궤공제능진정차불은정적점탄성계통。괄당적선택공제증익화공제시체，공제계통유은정적평형점，유Hopf분차산생적주기해，의주기해，병능전현출복잡적혼돈해。수치모의험증료결론적정학성。
The paper presents a detailed analysis on the dynamics and delayed state feedback control of an oscil-lator with generalized visco-elastic item.The trivial equilibrium of the model is first investigated and shows that uncontrolled model exhibits complicated unbounded behavior.Then a velocity feedback control is introduced to stabilize this unstable system.It shows that the velocity feesback control can stabilize the system.And with prop-erly chosen delay and gain in the delayed feedback path,the velocity controlled model may have stable equilibri-um,or periodic solutions resulted from the Hopf bifurcation,codimension-2 bifurcation or complex stranger at-tractor.Some numerical experiments verify the theoretical analysis.