On the dynamics of a vertically driven damped planar pendulum
On the dynamics of a vertically driven damped planar pendulum
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DOI：
10.1098/rspa.2001.0841
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发表时间：
2001-12
期刊：
影响因子：
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通讯作者：
M. Bartuccelli;Guido Gentile;K. V. Georgiou
中科院分区：
文献类型：
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作者：
M. Bartuccelli;Guido Gentile;K. V. Georgiou
回顾和推广了具有参数垂直时间周期强迫的平面摆的动力学结果。用数值方法研究了系统在平衡点附近的各种动力学特征。此外，系统地研究了远离平衡点的动力学系统的相图和Poincaréesection。计算吸引子和相关的吸引域。我们还计算了李雅普诺夫指数表明，对于某些参数值的动态摆初始条件的敏感性。
Results on the dynamics of the planar pendulum with parametric vertical timeperiodic forcing are reviewed and extended. Numerical methods are employed to study the various dynamical features of the system about its equilibrium positions. Furthermore, the dynamics of the system far from its equilibrium points is systematically investigated by using phase portraits and Poincaréesections. The attractors and the associated basins of attraction are computed. We also calculate the Lyapunov exponents to show that for some parameter values the dynamics of the pendulum shows sensitivity to initial conditions.