Journal
JOURNAL OF VIBRATION AND CONTROL
Volume 21, Issue 2, Pages 371-387Publisher
SAGE PUBLICATIONS LTD
DOI: 10.1177/1077546313483160
Keywords
Duffing-van der Pol oscillator; external and parametric excitations; primary resonance; principal parametric resonance; time delayed feedback control
Categories
Funding
- National Natural Science Foundation of China [11002045, 11172084, 10632020, 10672017]
- Harbin Institute of Technology [HIT.KLOF.2012.082, HIT.BRETIII.201213]
Ask authors/readers for more resources
In this paper, the nonlinear dynamical characteristics of the Duffing-van der Pol oscillator subject to both external and parametric excitations with time delayed feedback control are analyzed. Using the multiple scale method, the primary and principal parametric resonances are discussed. Both the periodic and chaos dynamical behaviors are presented by numerical solutions. From the results, it can be seen that the frequency and amplitude responses for the primary and principal parametric resonances can be affected by the time delayed control. Moreover, it is not only the external and parametric excitations that have an influence on the periodic and chaotic motions, but also the control parameters.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available