国家天元数学西南中心

Melnikov函数的算法及对混沌转子的应用

[TMCSC]

July 01, 2019 10:00-11:00

四川大学数学学院西303报告厅

SPEAKER

张伟年（四川大学）

abstract

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.

ORGANIZERS

洪绍方（四川大学）

寇辉（四川大学）

连增（四川大学）

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