Hopf bifurcations in a delayed-energy-based model of capital accumulation

Applied Mathematics and Information Sciences

Volumn 7, Issue 1, 2013, Pages 139-143

  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

Dalgaard strulik model; Economic growth; Energy; Limit cycle; Time delay

Indexed keywords

EID: 84873470767     PISSN: 19350090     EISSN: None     Source Type: Journal    
DOI: 10.12785/amis/070116     Document Type: Article

References (25)

1. H. Spencer, First Principles, MacMillan, London, 1862.
2. E. Domar, Econometrica 14, 137-147 (1946).
3. R.M Solow, Quarterly Journal of Economics 70, 65-94 (1956).
4. C.J Dalgaard and H. Strulik, Rediscovering the Solow model: An energy network approach, Discussion Papers, Department of Economics, University of Copenhagen.
5. J.R Banavar, A. Maritan, A. Rinaldo, Nature 399, 130-132 (1999).
6. C.L. Dalgaard and H. Strulik, Resource and Energy Economics 33, 782-797 (2011).
7. J.R Banavar, J. Damuth, A. Maritan, A. Rinaldo, Proceedings of the National Academy of Sciences of the United States of America 99, 10506-10509 (2002).
8. G.B West, J.H Brown, B.J Enquist, Science 276, 122-126 (1997).
9. G.B West, J.H Brown, B.J Enquist, Science 284, 1677-1679 (1999).
10. G.BWest, J.H Brown, and B.J Enquist, Nature 413, 628-631 (2001).
11. M. Kleiber, Hilgardia 6, 315-332 (1932).
12. L.M.A Bettencourt, J. Lobo, D. Helbing, C. K̈uhnert, G.B West, Proceedings of the National Academy of Sciences of the United States of America 104, 7301-7306 (2007).
13. T.W. Swan, Economic Record 32, 334-361 (1956).
14. C.T.H Baker, G.A Bocharov, C.A.H Paul, Journal of Theoretical Medicine 2, 117-128 (1997).
15. C. Bianca, Math. Models Methods Appl. Sci. 21, 389-419 (2011).
16. C. Bianca, M. Pennisi, Nonlinear Analysis: Real World Applications 13, 1913-1940 (2012).
17. C. Bianca and L. Fermo, Computers & Mathematics with Applications 61, 277-288 (2011).
18. H. Smith, An introduction to delay differential equations with applications to the life sciences, Texts in Applied Mathematics, Volume 57, Springer, Berlin, 2011.
19. A. Casal and M. Freedman, IEEE Transactions on Automatic Control 25, 967-973 (1980).
20. S. Ruan and J. Wei, Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 10, 863-874 (2003).
21. R. Rand and A. Verdugo, Communications in Nonlinear Science and Numerical Simulation 12, 859-864 (2007).
22. O. Galor, From stagnation to growth: unified growth theory, In: Aghion, P., Durlauf, S. (Eds.), Handbook of Economic Growth, vol. 1A. Amsterdam, North-Holland, 2005.
23. C. Bianca, Nonlinear Analysis: RealWorld Applications 13, 2593-2608 (2012).
24. C. Bianca, Appl. Math. Inf. Sci. 6, 495-499 (2012).
25. C. Bianca, Physics of Life Reviews (2012), http://dx.doi.org/10.1016/j.plrev.2012.09.002.