Abstract
Inhibition of chaos in a dissipative nonlinear system that is slowly (nonresonantly) modulated across an instability domain of a fixed-point solution is investigated in detail, considerably extending previous analyses. Comparison is made between the evolution of the modulated system and the evolution of the steady-state solution in phase space as a function of the modulation parameter. It is shown that tracking of the steady-state solution across the instability domain (which can be achieved for a wide domain of modulation frequencies) occurs in a nonintuitive way, as a result of the combination of two factors, which can be present in many nonlinear systems.
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