受迫非线性振子的混沌研究

作者：王林泽，周军楠 日期：2007-07-09/span> 浏览：3988 查看PDF文档

                                   受迫非线性振子的混沌研究
                                        王林泽，周军楠
        (杭州电子科技大学 计算机应用技术研究所，浙江 杭州 310018)

摘 要：混沌是非线性系统特有的一种运动形式,关于混沌振动的研究已成为非线性振动中一个蓬勃发展的新领域。针对工程中的非线性振子系统的微分方程，进行了理论分析和参数仿真计算，并在一定范围内得出了方程出现混沌的参数值。在方程参数一定的情况下，发现了随着初始值的不同，该方程的解的状态有明显的不同。研究结果表明，该研究对工程实际应用有着重要的价值。
关键词：混沌；非线性振子；参数；仿真计算

                Chaos researches of the forced nonlinear dipole
                        WANG Linze， ZHOU Junnan

（The Research Institute of Computer Application Technology, Hangzhou Dianzi University, Hangzhou 310018, China）
Abstract: Chaos is one of the kinetic forms of nonlinear dynamic system, the study on chaotic vibration has become a flourishing frontier of nonlinear vibration. The nonlinear differential equation of the forced nonlinear dipole in theory was analyzed, and simulating calculation was done. By changing the equation parameters, the chaos results was obtained. Under the parameters conditions, the solutions of the equation depends on the starting values. The results show, that is very important for the further practical application.
Key words: chaos; nonlinear dipole; parameters; simulating calculation