Growing through chaotic intervals

Journal of Economic Theory

Volumn 143, Issue 1, 2008, Pages 541-557

  Gardini, Laura ^a   Sushko, Iryna ^b   Naimzada, Ahmad K ^c  

^a UNIVERSITY OF URBINO   (Italy)

^b INSTITUTE OF MATHEMATICS   (Ukraine)

^c UNIVERSITY OF MILANO BICOCCA   (Italy)

Author keywords

Border collision bifurcation; Chaotic intervals; Cycles; Growth; Innovation

Indexed keywords

EID: 55549139071     PISSN: 00220531     EISSN: 10957235     Source Type: Journal    
DOI: 10.1016/j.jet.2008.03.005     Document Type: Article

References (15)

1. Banerjee S., Karthik M.S., Yuan G., and Yorke J.A. Bifurcations in one-dimensional piecewise smooth maps-Theory and applications in switching circuits. IEEE Trans. Circuits Syst.-I: Fund. Theory Appl. 47 3 (2000) 389-394
2. Devaney R. An Introduction to Chaotic Dynamical Systems (1986), The Benjamin/Cummings Publishing Co., Menlo Park, California
3. di Bernardo M., Feigen M.I., Hogan S.J., and Homer M.E. Local analysis of C-bifurcations in n-dimensional piecewise smooth dynamical systems. Chaos Solitons Fractals 10 11 (1999) 1881-1908
4. Gardini L. Homoclinic bifurcations in n-dimensional endomorphisms, due to expanding periodic points. Nonlinear Anal. 23 8 (1994) 1039-1089
5. Halse C., Homer M., and di Bernardo M. C-bifurcations and period-adding in one-dimensional piecewise-smooth maps. Chaos Solitons Fractals 18 (2003) 953-976
6. Hommes C.H., and Nusse H. Period three to period two bifurcations for piecewise linear models. J. Econ. 54 2 (1991) 157-169
7. Maistrenko Y.L., Maistrenko V.L., and Chua L.O. Cycles of chaotic intervals in a time-delayed Chua's circuit. Internat. J. Bifur. Chaos 3 6 (1993) 1557-1572
8. Maistrenko Y.L., Maistrenko V.L., and Vikul S.I. On period-adding sequences of attracting cycles in piecewise linear maps. Chaos Solitons Fractals 9 1 (1998) 67-75
9. Matsuyama K. Growing through cycles. Econometrica 67 2 (1999) 335-347
10. Mitra T. A sufficient condition for topological chaos with an application to a model of endogenous growth. J. Econ. Theory 96 (2001) 133-152
11. Mukherji A. Robust cyclical growth. Internat. J. Econ. Theory 1 (2005) 233-246
12. Nusse H.E., and Yorke J.A. Border-collision bifurcations including period two to period three for piecewise smooth systems. Phys. D 57 (1992) 39-57
13. Nusse H.E., and Yorke J.A. Border-collision bifurcations for piecewise smooth one-dimensional maps. Internat. J. Bifur. Chaos 5 1 (1995) 189-207
14. Sushko I., Agliari A., and Gardini L. Bistability and border-collision bifurcations for a family of unimodal piecewise smooth maps. Discrete Contin. Dyn. Syst. Ser. B 5 3 (2005) 881-897
15. Sushko I., Agliari A., and Gardini L. Bifurcation structure of parameter plane for a family of unimodal piecewise smooth maps: Border-collision bifurcation curves. Chaos Solitons Fractals 29 3 (2006) 756-770