Access provided by Autonomous University of Puebla. Download to read the full chapter text
Chapter PDF
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
References
Agliari, A., 2001, “Global bifurcations in the basins of attraction in nonin-vertible maps and economic applications”, Nonlinear Analysis 47, pp. 5241–5252.
Agliari, A., Bischi, G.I., Dieci, R., and Gardini, L., 2005a, “Global bifurcations of closed invariant curves in two-dimensional maps: A computer assisted study”, International Journal of Bifurcation and Chaos 15, pp. 1285–1328.
Agliari, A., Bischi, G.I., and Gardini, L., 2002, “Some methods for the Global Analysis of Dynamic Games represented by Noninvertible Maps”, Chapter 3 in Oligopoly and Complex Dynamics: Tools & Models, T. Puu and I. Sushko (eds.), Springer Verlag
Agliari, A., Dieci, R., and Gardini, L., 2005b, “Homoclinic tangles in a Kaldor-like business cycle model”, Journal of Economic Behavior & Organization, to appear.
Agliari, A., Gardini, L., Delli Gatti, D., and Gallegati, M., 2000, “Global dynamics in a nonlinear model for the equity ratio”, Chaos, Solitons and Fractals 11, pp. 961–985
Bischi, G.I., Dieci, R., Rodano, G., and Saltari, E., 2001, “Multiple attractors and global bifurcations in a Kaldor-type business cycle model”, Journal of Evolutionary Economics 11, pp. 527–554.
Bischi, G.I., and Kopel, M., 2001, “Equilibrium Selection in a Nonlinear Duopoly Game with Adaptive Expectations”, Journal of Economic Behavior and Organization 46/1, pp. 73–100.
Dana, R.A., and Malgrange, P., 1984, “The dynamics of a discrete version of a growth cycle model”, in Analyzing the structure of economic models, J.P. Ancot (Ed.), The Hague: Martinus Nijhoff, pp. 205–222.
Dieci R., Bischi, G.I., and Gardini, L., 2001, “Multistability and role of noninvertibility in a discrete-time business cycle model”, Central European Journal of Operation Research 9, pp. 71–96.
Dohtani, A., Misawa, T., Inaba, T., Yokoo, ML, and Owase, T., 1996, “Chaos, complex transients and noise: Illustration with a Kaldor model”, Chaos Solitons & Fractals 7, pp. 2157–2174.
Gabisch, G., and Lorenz, H.W., 1989, Business Cycle Theory, 2nd edition, Springer-Verlag, New York.
Gallegati, M., and Stiglitz, J.E., 1993, “Stochastic and deterministic fluctuations in a nonlinear model with equity rationing”, Giornale degli Economisti e Annali di Economia Anno LI (Nuova Serie)-Fasc. 1/4, pp. 97–108.
Grasman, J., and Wentzel, J.J., 1994, “Coexistence of a limit cycle and an equilibrium in a Kaldor’s business cycle model and its consequences”, Journal of Economic Behavior and Organization 24, pp. 369–377.
Gumowski, I., and Mira, C, 1980, Dynamique Chaotique, Cepadues Ed., Toulouse.
Herrmann, R., 1985, “Stability and chaos in a Kaldor-type model”, DP22, Department of Economics, University of Gottingen.
Kaldor, N., 1940, “A model of the Trade Cycle”, Economic Journal 50, pp.78–92, reprinted in Essays on Economic Stability and Growth, London, Duckworth, 1964, pp. 177–192.
Lorenz, H.W., 1992, “Multiple attractors, Complex Basin Boundaries, and Transient Motion in Deterministic Economic Systems”, in Dynamic Economic Models and Optimal Control, G. Feichtinger (Ed.), North-Holland, Amsterdam, pp. 411–430
Lorenz, H.W., 1993, Nonlinear Dynamical Economics and Chaotic Motion, Second Edition, Springer-Verlag, New York.
Medio, A., and Lines, M., 2001, Nonlinear Dynamics, Cambridge University Press, Cambridge (UK).
Mira, C, Gardini, L., Barugola, A., and Cathala, J.C., 1996, Chaotic Dynamics in Two-dimensional Noninvertible Map, World Scientific, Singapore.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Agliari, A., Died, R. (2006). Coexistence of Attractors and Homoclinic Loops in a Kaldor-Like Business Cycle Model. In: Puu, T., Sushko, I. (eds) Business Cycle Dynamics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-32168-3_9
Download citation
DOI: https://doi.org/10.1007/3-540-32168-3_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-32167-5
Online ISBN: 978-3-540-32168-2
eBook Packages: Business and EconomicsEconomics and Finance (R0)