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A METHOD FOR DETERMINING THE PERIODIC SOLUTION AND ITS STABILITY OF A DYNAMIC SYSTEM WITH LOCAL NONLINEARITIES 1)[J]. Chinese Journal of Theoretical and Applied Mechanics, 1998, 30(5): 572-579. DOI: 10.6052/0459-1879-1998-5-1995-163
Citation: A METHOD FOR DETERMINING THE PERIODIC SOLUTION AND ITS STABILITY OF A DYNAMIC SYSTEM WITH LOCAL NONLINEARITIES 1)[J]. Chinese Journal of Theoretical and Applied Mechanics, 1998, 30(5): 572-579. DOI: 10.6052/0459-1879-1998-5-1995-163
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A METHOD FOR DETERMINING THE PERIODIC SOLUTION AND ITS STABILITY OF A DYNAMIC SYSTEM WITH LOCAL NONLINEARITIES 1)

  • 西安交通大学能源与动力工程学院,710049

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  • The analysis of dynamic system with many degrees of freedom can be highly complex in the presence of strong nonlinearities, but it is important to understand the mechanisms of some phenomena The fundamental response of a nonlinear nonautonomous system is periodic, other motions, such as quasi-periodic, jump, period-doubling and chaotic motion, can bifurcate from periodic motion when a system parameter is changed Therefore, determining the periodic solution and its stability are required in such case ...
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