报告题目： An Algorithm for Melnikov Functions and
Application to a Chaotic Rotor
报 告 人：张伟年教授（四川大学）
报告时间：2018年11月6日（星期二）
下午16：00-17：00.
报告地点：安徽大学磬苑校区数学楼H306
报告摘要：This talk is concerning a chaotic oscillation of a nonlinear model of turbine rotor. Melnikov’s method is one of the most important methods in determining chaos, but the practical model prevents the application of Melnikov’s method because its complicated nonlinearity makes difficulties to count the number of equilibria, not mentioning the determination of stability and the computation of heteroclinic orbits. In this work, a numerical algorithm is given to compute Melnikov functions with an idea of avoiding the computation of . heteroclinic orbits. The convergence of the algorithm and the estimates of errors help us to give a parameter region for chaotic oscillation of the rotor.
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科学技术处
2018年10月23日