On the dynamics of a vertically driven damped planar pendulum
Bartuccelli, M. V., Gentile, G. and Georgiou, K. (2001) On the dynamics of a vertically driven damped planar pendulum Proceedings of the Royal Society of London A, 457 (3007). pp. 3007-3022.
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 Poincaré sections. 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.
|Divisions :||Faculty of Engineering and Physical Sciences > Mathematics|
|Date :||8 December 2001|
|Uncontrolled Keywords :||Basins Of Attraction, Attractors, Poincaré Sections, Lyapunov Exponents|
|Additional Information :||Published in Proceedings of the Royal Society of London A, 457, 3007 - 3022. © 2001 The Royal Society.|
|Depositing User :||Mr Adam Field|
|Date Deposited :||27 May 2010 14:41|
|Last Modified :||23 Sep 2013 18:33|
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