Abstract
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.
Original language | English |
---|---|
Pages (from-to) | 224-231 |
Number of pages | 8 |
Journal | Physica. A, Statistical Mechanics and its Applications |
Volume | 466 |
Early online date | 21 Sept 2016 |
DOIs | |
Publication status | Published - 15 Jan 2017 |
Bibliographical note
The authors thank scientific agencies CAPES, CNPq (112952/2015-1), and FAPESP (2011/ 19269-11). M. S. Baptista also thanks EPSRC (EP/I03 2606/1).Keywords
- chaos
- Arnold tongues
- shrimp-shaped structures
- coupled oscillators