The cai model with time delay: Existence of periodic solutions and asymptotic analysis

Applied Mathematics and Information Sciences

Volumn 7, Issue 1, 2013, Pages 21-27

  Bianca, Carlo ^a   Ferrara, Massimiliano ^b   Guerrini, Luca ^c  

^a POLITECNICO DI TORINO   (Italy)

^b UNIVERSITY MEDITERRANEA OF REGGIO CALABRIA   (Italy)

^c UNIVERSITY OF BOLOGNA   (Italy)

Author keywords

Center manifold theorem; Delay; Dual economy; Hopf bifurcation; Oscillations

Indexed keywords

EID: 84873468432     PISSN: 19350090     EISSN: None     Source Type: Journal    
DOI: 10.12785/amis/070103     Document Type: Article

References (26)

1. P.K. Asea and P.J. Zak, Journal of Economic Dynamics and Control 23, 1155-1175 (1999).
2. C.T.H. Baker, G.A Bocharov and C.A.H. Paul, Journal of Theoretical Medicine 2, 117-128 (1997).
3. M. Bambi, Journal of Economic Dynamics and Control 32, 1015-1040 (2008).
4. C. Bianca, Appl. Math. Inf. Sci. 6, 495-499 (2012)
5. H. Eleuch, Pankaj K. Jha and Yuri V. Rostovtsev, Math. Sci. Lett. 1, 1 (2012).
6. C. Bianca, Mathematical Methods in the Applied Sciences, doi:10.1002/mma.2722.
7. C. Bianca, Nonlinear Analysis: Real World Applications 13, 2593-2608 (2012).
8. C. Bianca, Physics of Life Reviews, http://dx.doi.org/10.1016/j.plrev.2012.10.004.
9. C. Bianca, Physics of Life Reviews, http://dx.doi.org/10.1016/j.plrev.2012.08.001.
10. C. Bianca, M. Ferrara and L. Guerrini, Appl. Math. Inf. Sci. 7, 1-5 (2013).
11. E. Böhm-Bawerk, The Positive Theory of Capital, translated by William A. Smart, Macmillan & Co Ltd., 1891.
12. D. Cai, Applied Mathematics Letters 21, 774-779 (2008).
13. M. Ferrara and L. Guerrini, Far East Journal of Dynamical Systems 19, 115-120 (2012).
14. R. Frisch and H. Holme, Econometrica 3, 225-239 (1935).
15. L. Guerrini, International Journal of Mathematical Analysis 6, 2779-2787 (2012).
16. L. Guerrini, Mathematics in Engineering, Science and Aerospace 3, 309-311 (2012).
17. F. von Hayek, Prices and Production, George Routledge & Sons, Ltd., Broadway House, 68-74 Carter Lane, 1931.
18. B.D. Hassard, N.D. Kazarinoff and Y.H. Wan, Theory and Application of Hopf Bifurcation, 1981.
19. M. Kalecki, Econometrica 3, 327-344 (1935).
20. A. Krawiec and M. Szydlowski, Review of Political Economy 16, 501-506 (2004).
21. F.E. Kydland and E.C. Prescott, Econometrica 50, 1345- 1370 (1982).
22. A. Matsumoto and F. Szidarovszky, Journal of Economic Behavior and Organization 78, 272-289 (2011).
23. S. Ruan and J. Wei, Dynamics of Continuous, Discrete and Impulsive Systems A: Mathematical Analysis 10, 863-874 (2003).
24. A. Rustichini, Journal of Dynamics and Differential Equation 1, 145-177 (1989).
25. M. Szydlowski, Chaos, Solitons & Fractals 14, 697-703 (2002).
26. P.J. Zak, Review of Political Economy 11, 321-330 (1999).