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NONLINEAR DYNAMICS OF PARAMETRICAL EXCITED TWO-DEGREES-OF-FREEDOM FREEDOM FLEXIBLE PENDULUM

机译:参数兴奋的非线性动力学两性自由度自由柔性摆锤

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This paper explores dynamical behaviour of a parametrical excited two-degree-of-freedom pendulum. It has been shown that as excitation period increases, existing period orbit could bifurcates into more-complex invariant manifolds. Complex behaviour of the system is studied by the means of phase portraits, Poincare sections, and Lyapunov exponents and it has concluded that system could become chaotic for some range of involving parameters.
机译:本文探讨了参数兴奋的二维自由度摆动的动态行为。已经表明,随着刺激的时间增加,现有时期轨道可以分叉进入更复杂的不变歧管。通过相位肖像,庞的部分和Lyapunov指数的手段研究了系统的复杂行为,并且它得出结论,系统可能会对一些涉及参数进行混乱。

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