A study on the complexity of a business cycle model with great excitements in non-resonant condition

Chaos, Solitons and Fractals

Volumn 39, Issue 5, 2009, Pages 2258-2267

  Ma, Junhai ^a,b   Cui, Yaqiang ^a   Liulixia, ^a  

^a TIANJIN UNIVERSITY   (China)

^b TIANJIN UNIVERSITY OF FINANCE AND ECONOMICS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATE SOLUTION; BIFURCATION PARAMETER; BUSINESS CYCLES; CHAOTIC BUSINESS CYCLES; INHERENT COMPLEXITY; MULTIPLE SCALE METHOD; PARAMETER COMBINATION; SYSTEM SOLUTION;

MATHEMATICAL TECHNIQUES;

EID: 64049103400     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2007.06.098     Document Type: Article

References (14)

1. Abraham C.L.C., Felix A.B., and Erico L.R. Attractor merging crisis in chaotic business cycles. Chaos, Solitons & Fractals 24 5 (2005) 869-875
2. Szydlowski N., Krawiec A., and Tobola J. Nonlinear oscillations in business cycle model with time lags. Chaos, Solitons & Fractals 21 12 (2001) 505-517
3. Puu T., and Sushko I. A business cycle model with cubic nonlinearity. Chaos, Solitons & Fractals 19 2 (2004) 597-612
4. Ma J., and Chen Y. Study for the bifurcation topological structure and the global complicated character of a kind of nonlinear finance system. I. Appl Math Mech 22 11 (2001) 1240-1251
5. Ma J., and Chen Y. Study on the prediction method of low-dimension time series that arise from the intrinsic non-linear dynamics. Appl Math Mech 5 22 (2001) 501-509
6. Lu Q. Bifurcation and singularity (1995), Shanghai Scientific and Technological Education Publishing House, Shanghai
7. Liu S., and Liu S. Nonlinear dynamic and complex phenomena (1989), China Meteorological Press
8. Ma J., and Chen Y. Study for the bifurcation topological structure and the global complicated character of a kind of nonlinear finance system(II). Appl Math Mech 221 (2001) 1375-1382
9. Han Maoan, Gu Shengshi. Theory and method of nonlinear system. Science Press 2001.8.
10. Ma J., and Chen Y. The matric algorithm of lyapunov exponent for the experimental data obtained in dynamic analysis. Appl Math Mech 20 9 (1999) 985-993
11. Tiegang G., Zengqiang C., Zhuzhi Y., and Guanrong C. A hyperchaos generated from Chen's system. Int J Modern Phys C 17 4 (2006) 471-478
12. Guoyuan Q., Guanrong C., Shengzhi D., Zengqiang C., and Zhuzhi Y. Analysis of new chaotic system. Physica A. 352 (2005) 295-308
13. Guoyuan Q., Shengzhi D., Guanrong C., Zengqiang C., and Zhuzhi Y. On a four-dimensional chaotic system. Chaos, Solitons & Fractals 23 (2005) 1671-1682
14. Guoyuan Q., Zengqiang C., and Zhuzhi Y. Model free control for affine chaotic system. Phys Lett A 344 (2005) 189-202