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Homoclinic tangles in a Kaldor-like business cycle model

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  • Agliari, Anna
  • Dieci, Roberto
  • Gardini, Laura

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  • Agliari, Anna & Dieci, Roberto & Gardini, Laura, 2007. "Homoclinic tangles in a Kaldor-like business cycle model," Journal of Economic Behavior & Organization, Elsevier, vol. 62(3), pages 324-347, March.
    • Handle: RePEc:eee:jeborg:v:62:y:2007:i:3:p:324-347
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    1. N. Kaldor, 1971. "A Comment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(1), pages 45-46.
    2. Varian, Hal R, 1979. "Catastrophe Theory and the Business Cycle," Economic Inquiry, Western Economic Association International, vol. 17(1), pages 14-28, January.
    3. William A. Brock & Cars H. Hommes, 1997. "A Rational Route to Randomness," Econometrica, Econometric Society, vol. 65(5), pages 1059-1096, September.
    4. Agliari, Anna & Gardini, Laura & Puu, Tönu, 2005. "Some global bifurcations related to the appearance of closed invariant curves," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 68(3), pages 201-219.
    5. Chiarella, Carl & Dieci, Roberto & Gardini, Laura, 2002. "Speculative behaviour and complex asset price dynamics: a global analysis," Journal of Economic Behavior & Organization, Elsevier, vol. 49(2), pages 173-197, October.
    6. Bischi, Gian Italo & Kopel, Michael, 2001. "Equilibrium selection in a nonlinear duopoly game with adaptive expectations," Journal of Economic Behavior & Organization, Elsevier, vol. 46(1), pages 73-100, September.
    7. William A. Brock & Cars H. Hommes, 2001. "A Rational Route to Randomness," Chapters, in: W. D. Dechert (ed.), Growth Theory, Nonlinear Dynamics and Economic Modelling, chapter 16, pages 402-438, Edward Elgar Publishing.
    8. Foroni, Ilaria & Gardini, Laura & Rosser, J.Barkley, 2003. "Adaptive and statistical expectations in a renewable resource market," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 63(6), pages 541-567.
    9. Lorenz, Hans-Walter, 1987. "Strange attractors in a multisector business cycle model," Journal of Economic Behavior & Organization, Elsevier, vol. 8(3), pages 397-411, September.
    10. Agliari, Anna & Chiarella, Carl & Gardini, Laura, 2006. "A re-evaluation of adaptive expectations in light of global nonlinear dynamic analysis," Journal of Economic Behavior & Organization, Elsevier, vol. 60(4), pages 526-552, August.
    11. Medio,Alfredo & Lines,Marji, 2001. "Nonlinear Dynamics," Cambridge Books, Cambridge University Press, number 9780521551861.
    12. Pintus, Patrick & Sands, Duncan & de Vilder, Robin, 2000. "On the transition from local regular to global irregular fluctuations," Journal of Economic Dynamics and Control, Elsevier, vol. 24(2), pages 247-272, February.
    13. Giorgio Rodano & Gian Italo Bischi & Enrico Saltari & Roberto Dieci, 2001. "Multiple attractors and global bifurcations in a Kaldor-type business cycle model," Journal of Evolutionary Economics, Springer, vol. 11(5), pages 527-554.
    14. de Vilder, Robin, 1996. "Complicated Endogenous Business Cycles under Gross Substitutability," Journal of Economic Theory, Elsevier, vol. 71(2), pages 416-442, November.
    15. K. Vind, 1971. "Comment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(1), pages 115-115.
    16. W. W. Chang & D. J. Smyth, 1971. "The Existence and Persistence of Cycles in a Non-linear Model: Kaldor's 1940 Model Re-examined," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(1), pages 37-44.
    17. Droste, Edward & Hommes, Cars & Tuinstra, Jan, 2002. "Endogenous fluctuations under evolutionary pressure in Cournot competition," Games and Economic Behavior, Elsevier, vol. 40(2), pages 232-269, August.
    18. Medio,Alfredo & Lines,Marji, 2001. "Nonlinear Dynamics," Cambridge Books, Cambridge University Press, number 9780521558747.
    19. Grasman, Johan & Wentzel, Jolanda J., 1994. "Co-existence of a limit cycle and an equilibrium in Kaldor's business cycle model and its consequences," Journal of Economic Behavior & Organization, Elsevier, vol. 24(3), pages 369-377, August.
    20. Bischi, G. -I. & Dawid, H. & Kopel, M., 2003. "Spillover effects and the evolution of firm clusters," Journal of Economic Behavior & Organization, Elsevier, vol. 50(1), pages 47-75, January.
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    Cited by:

    1. Andrasik Ladislav, 2015. "Computational Qualitative Economics – Using Computational Intelligence for Andvanced Learning of Economics in Knowledge Society," Creative and Knowledge Society, Sciendo, vol. 5(2), pages 1-15, December.
    2. Roberto Dieci & Noemi Schmitt & Frank Westerhoff, 2018. "Steady states, stability and bifurcations in multi-asset market models," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 41(2), pages 357-378, November.
    3. Agliari, Anna & Naimzada, Ahmad & Pecora, Nicolò, 2017. "Dynamic effects of memory in a cobweb model with competing technologies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 468(C), pages 340-350.
    4. Eskandari, Z. & Avazzadeh, Z. & Khoshsiar Ghaziani, R., 2022. "Complex dynamics of a Kaldor model of business cycle with discrete-time," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    5. Foroni, Ilaria & Agliari, Anna, 2011. "Complex dynamics associated with the appearance/disappearance of invariant closed curves," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(8), pages 1640-1655.
    6. Orlando, Giuseppe, 2016. "A discrete mathematical model for chaotic dynamics in economics: Kaldor’s model on business cycle," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 125(C), pages 83-98.
    7. Dieci, Roberto & Westerhoff, Frank, 2016. "Heterogeneous expectations, boom-bust housing cycles, and supply conditions: A nonlinear economic dynamics approach," Journal of Economic Dynamics and Control, Elsevier, vol. 71(C), pages 21-44.
    8. Li, Jiaorui & Ren, Zhengzheng & Wang, Zuoren, 2008. "Response of nonlinear random business cycle model with time delay state feedback," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(23), pages 5844-5851.
    9. Mauro Sodini, 2011. "Local and Global Dynamics in an Overlapping Generations Model with Endogenous Time Discounting," Computational Economics, Springer;Society for Computational Economics, vol. 38(3), pages 277-293, October.
    10. Giuseppe Orlando & Fabio Della Rossa, 2019. "An Empirical Test on Harrod’s Open Economy Dynamics," Mathematics, MDPI, vol. 7(6), pages 1-13, June.
    11. De Grauwe, Paul & Rovira Kaltwasser, Pablo, 2012. "Animal spirits in the foreign exchange market," Journal of Economic Dynamics and Control, Elsevier, vol. 36(8), pages 1176-1192.
    12. Toichiro Asada & Christos Douskos & Panagiotis Markellos, 2007. "Numerical Exploration of Kaldorian Macrodynamics: Hopf-Neimark Bifurcations and Business Cycles with Fixed Exchange Rates," Discrete Dynamics in Nature and Society, Hindawi, vol. 2007, pages 1-16, April.
    13. Dieci, Roberto & Westerhoff, Frank, 2015. "Heterogeneous expectations, boom-bust housing cycles, and supply conditions: A nonlinear dynamics approach," BERG Working Paper Series 99, Bamberg University, Bamberg Economic Research Group.

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