Research of the Periodic Motion and Stability of Two-Degree-of-Freedom Nonlinear Oscillating Systems

LIU Jun

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LIU Jun. Research of the Periodic Motion and Stability of Two-Degree-of-Freedom Nonlinear Oscillating Systems[J]. Applied Mathematics and Mechanics, 2002, 23(10): 1093-1100.

Citation:

LIU Jun. Research of the Periodic Motion and Stability of Two-Degree-of-Freedom Nonlinear Oscillating Systems[J]. Applied Mathematics and Mechanics, 2002, 23(10): 1093-1100.

Citation:

LIU Jun. Research of the Periodic Motion and Stability of Two-Degree-of-Freedom Nonlinear Oscillating Systems[J]. Applied Mathematics and Mechanics, 2002, 23(10): 1093-1100.

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Research of the Periodic Motion and Stability of Two-Degree-of-Freedom Nonlinear Oscillating Systems

LIU Jun

Department of Mathematics, Qujing Normal College, Qujing, Yunnan 655000, P R China

Received Date: 2001-02-27
Rev Recd Date: 2002-04-01
Publish Date: 2002-10-15

Abstract

Abstract

The periodic motion and stability for a class of two-degree-of-freedom nonlinear oscilating systems are studied by using the method of Liapunov function. The sufficient conditions which guarantee the existence,uniqueness and asymptotic stability of the periodic solutions are obtained.
- nonlinear oscillation,
- periodic motion,
- Liapunov function,
- periodic system

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References(9)

References

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