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On the dynamics of a vertically driven damped planar pendulum. (English) Zbl 1001.70023
The authors employ numerical techniques to make detailed studies of the driven pendulum in the presence of friction. They investigate the stability of both fixed points and study their basins of attraction when they are (asymptotically) stable. Morover, they investigate the existence of other attractors, and determine the corresponding basins of attraction. Computing the Lyapunov exponents they show that the system under consideration possesses chaotic dynamics.

MSC:
70K55 Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics
70K20 Stability for nonlinear problems in mechanics
37N05 Dynamical systems in classical and celestial mechanics
70-08 Computational methods for problems pertaining to mechanics of particles and systems
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