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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:
70K55Transition to stochasticity (chaotic behavior)
70K20Stability of nonlinear oscillations (general mechanics)
37N05Dynamical systems in classical and celestial mechanics
70-08Computational methods (mechanics of particles and systems)
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