Chaotic dynamics of a Rayleigh-Duffing oscillator with periodically external and parametric excitations

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/).

Download article (PDF)

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  -