Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10735261 | Chaos, Solitons & Fractals | 2005 | 10 Pages |
Abstract
We investigate the dynamics of a Duffing oscillator driven by a limited power supply, such that the source of forcing is considered to be another oscillator, coupled to the first one. The resulting dynamics come from the interaction between both systems. Moreover, the Duffing oscillator is subjected to collisions with a rigid wall (amplitude constraint). Newtonian laws of impact are combined with the equations of motion of the two coupled oscillators. Their solutions in phase space display periodic (and chaotic) attractors, whose amplitudes, especially when they are too large, can be controlled by choosing the wall position in suitable ways. Moreover, their basins of attraction are significantly modified, with effects on the final state system sensitivity.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
S.L.T. de Souza, I.L. Caldas, R.L. Viana, J.M. Balthazar, R.M.L.R.F. Brasil,