On the dynamics and control of complex phenomena in parametrically driven chains of pendulums
نویسندگان
چکیده
A model of a multidimensional system, consisting of a chain of nonlinearly coupled chaotic pendula subjected to a chaos-inducing harmonic parametric excitation, is introduced. The nonlinear dynamics of the chain is analyzed with attention to the synchronization phenomena. The control of chaos (suppression and enhancement) through the introduction of a second periodic excitation is investigated, by a numerical approach (Lyapunov exponents), firstly with reference to the simple case of a single pendulum; then the effectiveness of the method is studied on the chain, by applying the localized control on a minimal number of pendula.
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