Proceedings of the6th International Conference on Mechatronics, Materials, Biotechnology and Environment (ICMMBE 2016)

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
https://doi.org/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.
Open Access
This is an open access article distributed under the CC BY-NC license.

Download article (PDF)

Proceedings
6th International Conference on Mechatronics, Materials, Biotechnology and Environment (ICMMBE 2016)
Part of series
Advances in Engineering Research
Publication Date
September 2016
ISBN
978-94-6252-228-2
ISSN
2352-5401
DOI
https://doi.org/10.2991/icmmbe-16.2016.56How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

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  - 6th 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  - https://doi.org/10.2991/icmmbe-16.2016.56
ID  - Zhou2016/09
ER  -