International Symposium on Nonlinear Theory and its Applications
Steady State Behavior of a Class of Periodically Perturbed Systems
Barry O’Donnell, Paul F. Curran, Orla Feely,
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This paper examines the steady state behavior of a class of periodically perturbed mappings. This class displays a generalized periodicity and is characterized in the steady-state by an invariant set, or belt, of points of period-n. The rate of convergence to these belts and the thickness of the belt is seen to be influenced by the frequency of the perturbation. Furthermore, when the perturbation frequency equals π rad/s, generalized period-n behavior, where n is even, reduces to period-n behavior.