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Model and Dynamics Analysis of A new oscillator Under Gravity

机译:重力下新振荡器的模型与动力学分析

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A mathematical modal for a new oscillator under Gravity is gived by The Second Law of Neton and proved the correctness by The Energy Method. We obtained a equation for the equilibrium point of system by the definition. We observe the dynamics action by the Hamilton function. Meanwhile the phase trajectories and the Poincare sections are also presented. The analysis shows the complicated nonlinear dynamics with periodic motion in some special case.
机译:在重力下的新振荡器的数学模态由Neton的第二律奠定了一种,并通过能量法证明了正确性。我们通过定义获得了系统均衡点的等式。我们遵守汉密尔顿功能的动态行动。同时还介绍了相位轨迹和庞然石部分。该分析显示了一些特殊情况下具有周期性运动的复杂的非线性动态。

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