On the dynamics of a vertically driven damped planar pendulum | Zendy

Michele V. Bartuccelli | Zendy; Guido Gentile | Zendy; Kyriakos V. Georgiou | Zendy

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On the dynamics of a vertically driven damped planar pendulum

Author(s) -

Michele V. Bartuccelli,

Guido Gentile,

Kyriakos V. Georgiou

Publication year - 2001

Publication title -

proceedings of the royal society a mathematical physical and engineering sciences

Language(s) - English

Resource type - Journals

eISSN - 1471-2946

pISSN - 1364-5021

DOI - 10.1098/rspa.2001.0841

Subject(s) - phase portrait , attractor , pendulum , lyapunov exponent , planar , kapitza's pendulum , double pendulum , parametric statistics , dynamics (music) , physics , sensitivity (control systems) , classical mechanics , statistical physics , mathematics , inverted pendulum , mathematical analysis , control theory (sociology) , bifurcation , nonlinear system , computer science , engineering , statistics , computer graphics (images) , quantum mechanics , electronic engineering , acoustics , control (management) , artificial intelligence

Results on the dynamics of the planar pendulum with parametric vertical time-periodic forcing are reviewed and extended. Numerical methods are employed to study the various dynamical features of the system about its equilibrium positions.\udFurthermore, the dynamics of the system far from its equilibrium points is systematically investigated by using phase portraits and Poincar\´e 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

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