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Zbl 1001.70023
Bartuccelli, M.V.; Gentile, G.; Georgiou, K.V.
On the dynamics of a vertically driven damped planar pendulum. (English)
[J] Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 457, No.2016, 3007-3022 (2001). ISSN 1364-5021; ISSN 1471-2946/e

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.
[Messoud Efendiev (Berlin)]

MSC 2000:: *70K55 Transition to stochasticity (chaotic behavior)
70K20 Stability of nonlinear oscillations (general mechanics)
37N05 Dynamical systems in classical and celestial mechanics
70-08 Computational methods (mechanics of particles and systems)

Keywords: driven pendulum; basins of attraction; Lyapunov exponents; chaotic dynamics

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