Chaotic dynamics of a Rayleigh-Duffing oscillator with periodically external and parametric excitations
Authors
Liangqiang Zhou, Shanshan Liu, Fangqi Chen
Corresponding Author
Liangqiang Zhou
Available Online September 2016.
- DOI
- 10.2991/icmmbe-16.2016.56How to use a DOI?
- Keywords
- Rayleigh-Duffing oscillator; Chaos; Melnikov method; Controllable frequency
- Abstract
Chaotic motions of a Rayleigh-Duffing oscillator with periodically external and parametric excitations are investigated rigorously. Chaos arising from intersections of homoclinic orbits is analyzed with the Melnikov method. The critical curves separating the chaotic and non-chaotic regions are obtained. The chaotic feature on the system parameters is discussed. Chaotic dynamics are also compared for the systems with a periodically external excitation or a parametric excitation. Some new dynamical phenomena including"controllable frequency" are presented. Numerical simulations verify the analytical results.
- Copyright
- © 2016, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Liangqiang Zhou AU - Shanshan Liu AU - Fangqi Chen PY - 2016/09 DA - 2016/09 TI - Chaotic dynamics of a Rayleigh-Duffing oscillator with periodically external and parametric excitations BT - Proceedings of the6th International Conference on Mechatronics, Materials, Biotechnology and Environment (ICMMBE 2016) PB - Atlantis Press SP - 286 EP - 292 SN - 2352-5401 UR - https://doi.org/10.2991/icmmbe-16.2016.56 DO - 10.2991/icmmbe-16.2016.56 ID - Zhou2016/09 ER -