Chaos analysis of the nonlinear duffing oscillators based on the new Adomian polynomials
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Authors
L. L. Huang
- Institute of Applied Nonlinear Science, College of Mathematics and Information Science, Neijiang Normal University, Neijiang 641100, China.
G. C. Wu
- Institute of Applied Nonlinear Science, College of Mathematics and Information Science, Neijiang Normal University, Neijiang 641100, China.
M. M. Rashidi
- Shanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management Systems, Tongji University, Address: 4800 Cao An Rd., Jiading, Shanghai 201804, China.
- ENN-Tongji Clean Energy Institute of Advanced Studies, China.
W. H. Luo
- Institute of Applied Nonlinear Science, College of Mathematics and Information Science, Neijiang Normal University, Neijiang 641100, China.
Abstract
Numerical recurrence formulae are given to investigate the chaotic motion of the famous Duffing system.
The new Adomian polynomial is adopted to treat the cubic nonlinear term. With the numerical simulation
of the phase portraits and the Poincare sections, the chaotic behaviors are discussed for varied frequencies,
damping coefficients and forces. The results show that the numerical method is reliable to investigate chaotic
systems.
Share and Cite
ISRP Style
L. L. Huang, G. C. Wu, M. M. Rashidi, W. H. Luo, Chaos analysis of the nonlinear duffing oscillators based on the new Adomian polynomials, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 4, 1877--1881
AMA Style
Huang L. L., Wu G. C., Rashidi M. M., Luo W. H., Chaos analysis of the nonlinear duffing oscillators based on the new Adomian polynomials. J. Nonlinear Sci. Appl. (2016); 9(4):1877--1881
Chicago/Turabian Style
Huang, L. L., Wu, G. C., Rashidi, M. M., Luo, W. H.. "Chaos analysis of the nonlinear duffing oscillators based on the new Adomian polynomials." Journal of Nonlinear Sciences and Applications, 9, no. 4 (2016): 1877--1881
Keywords
- New Adomian polynomial
- duffing systems
- chaos.
MSC
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