We investigate the dynamical behavior of a non-ideal Duffing oscillator, a system composed of a mass–spring–pendulum driven by a DC motor with limited power supply. To identify new features on Duffing oscillator parameter space due to the limited power supply, we provide an extensive numerical characterization in the bi-parameter space by using Lyapunov exponents. Following this procedure, we identify remarkable new organized distribution of periodic windows, the ones known as Arnold tongues and also shrimp-shaped structures. In addition, we also identify intertwined basins of attraction for coexisting multiple attractors connected with tongues.
|Number of pages||8|
|Journal||Physica. A, Statistical Mechanics and its Applications|
|Early online date||21 Sept 2016|
|Publication status||Published - 15 Jan 2017|
Bibliographical noteThe authors thank scientific agencies CAPES, CNPq (112952/2015-1), and FAPESP (2011/ 19269-11). M. S. Baptista also thanks EPSRC (EP/I03 2606/1).
- Arnold tongues
- shrimp-shaped structures
- coupled oscillators