科学研究
报告题目:

An Algorithm for Melnikov Functions and Application to a Chaotic Rotor

报告人:

报告时间:

报告地点:

报告摘要:

报告题目:

An Algorithm for Melnikov Functions and Application to a Chaotic Rotor

报 告 人:

张伟年 教授(四川大学数学学院)

报告时间:

2018年04月10日 10:00--11:00

报告地点:

数学院三楼报告厅

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.