A business cycle model with cubic nonlinearity

Chaos, Solitons and Fractals

Volumn 19, Issue 3, 2004, Pages 597-612

  Puu, Tönu ^a   Sushko, Irina ^b  

^a UMEÅ UNIVERSITY   (Sweden)

^b INSTITUTE OF MATHEMATICS   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); HARMONIC ANALYSIS; LARGE SCALE SYSTEMS; OSCILLATORS (MECHANICAL); PARTICLE ACCELERATORS;

BUSINESS CYCLE MODELS;

NONLINEAR SYSTEMS;

EID: 0041629300     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(03)00132-2     Document Type: Article

References (16)

1. Afraimovich V.C., Shil'nikov L.P. Invariant two-dimensional tori, their destruction and stochasticity. 1983;3-26 Gorkii University, Gorkii, Russia.
2. Arnold V.I., Afraimovich V.S., Il'yashenko YuS, Shil'nikov L.P. Theory of bifurcation. Modern problems of mathematics. Fundamental directions. vol. 5:1986;VINITI, Moscow.
3. Frisch R. Propagation problems and impulse problems in dynamic economics, Essays in Honour of Gustav Cassel. 1933;Allen & Unwin, London.
4. Gardini L., Abraham R., Record R.J., Fournier-Prunaret D. A double logistic map. Int. J. Bifurcat. Chaos. 4:1994;145-176.
5. Goodwin R.M. The nonlinear accelerator and the persistence of business cycles. Econometrica. 19:1951;1-17.
6. Iooss G. Bifurcation of maps and applications. 1979;North-Holland, Amsterdam.
7. Hicks J.R. A contribution to the theory of the trade cycle. 1950;Oxford University Press, Oxford.
8. Maistrenko Yu., Sushko I., Gardini L. About two mechanisms of reunion of chaotic attractors. Chaos, Soliton & Fractals. 9(8):1998;1373-1390.
9. Mira C. Chaotic dynamics. 1987;World Scientific.
10. Mira C., Gardini L., Barugola A., Cathala J.-.C. Chaotic dynamics in two-dimensional noninvertible maps. 1996;World Scientific, Singapore.
11. Nusse H.E., Yorke J.A. Border-collision bifurcations: an explanation for observed bifurcation phenomena. Phys. Rev. E. 49:1994;1073-1076.
12. Puu T. Nonlinear economic dynamics. Lecture notes in economics and mathematical systems. vol. 336:1989;Springer-Verlag.
13. Puu T. Chaos in business cycles. Chaos, Solitons, & Fractals. 1:1991;457-473.
14. Puu T. Attractors, bifurcations, and chaos - nonlinear phenomena in economics. 2000;Springer-Verlag.
15. Sacker RJ. On invariant surfaces and bifurcation of periodic solutions of ordinary differential equations. New York University, Reports IMM-NYU. 1964. p. 333.
16. Samuelson P.A. Interactions between the multiplier analysis and the principle of acceleration. Rev. Economic Stat. 21:1939;75-78.