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The hopf bifurcation and the existence and stability of closed orbits in multisector models of optimal economic growth

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Cited by:

  1. Maćkowiak, Piotr, 2009. "Adaptive Rolling Plans Are Good," MPRA Paper 42043, University Library of Munich, Germany.
  2. Venditti, Alain, 1997. "Strong Concavity Properties of Indirect Utility Functions in Multisector Optimal Growth Models," Journal of Economic Theory, Elsevier, vol. 74(2), pages 349-367, June.
  3. Wirl, Franz & Feichtinger, Gustav, 2005. "History dependence in concave economies," Journal of Economic Behavior & Organization, Elsevier, vol. 57(4), pages 390-407, August.
  4. Banerjee, Sanjibani & A. Barnett, William & A. Duzhak, Evgeniya & Gopalan, Ramu, 2011. "Bifurcation analysis of Zellner's Marshallian Macroeconomic Model," Journal of Economic Dynamics and Control, Elsevier, vol. 35(9), pages 1577-1585, September.
  5. Dohtani, Akitaka, 2010. "A growth-cycle model of Solow-Swan type, I," Journal of Economic Behavior & Organization, Elsevier, vol. 76(2), pages 428-444, November.
  6. Benhabib, Jess & Nishimura, Kazuo, 1998. "Indeterminacy and Sunspots with Constant Returns," Journal of Economic Theory, Elsevier, vol. 81(1), pages 58-96, July.
  7. Bosi, Stefano & Magris, Francesco & Venditti, Alain, 2005. "Competitive equilibrium cycles with endogenous labor," Journal of Mathematical Economics, Elsevier, vol. 41(3), pages 325-349, April.
  8. Frédéric Lordon, 1991. "Théorie de la croissance : quelques développements récents [Première partie : la croissance récente]," Revue de l'OFCE, Programme National Persée, vol. 36(1), pages 157-211.
  9. Angeletos, George-Marios & Calvet, Laurent-Emmanuel, 2005. "Incomplete-market dynamics in a neoclassical production economy," Journal of Mathematical Economics, Elsevier, vol. 41(4-5), pages 407-438, August.
  10. Fujio Takata, 2009. "Endogenous Business Cycles: The Influence Of Character Traits ," Australian Economic Papers, Wiley Blackwell, vol. 48(1), pages 80-102, March.
  11. C-Rene DOMINIQUE & Luis Eduardo RIVERA-SOLIS, 2014. "On Market Economies: How Controllable Constructs Become Complex," Expert Journal of Economics, Sprint Investify, vol. 2(3), pages 100-108.
  12. Hiroaki Sasaki, 2013. "Cyclical growth in a Goodwin–Kalecki–Marx model," Journal of Economics, Springer, vol. 108(2), pages 145-171, March.
  13. William Barnett & Yijun He, 2006. "Existence of Bifurcation in Macroeconomic Dynamics: Grandmont was Right," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200610, University of Kansas, Department of Economics.
  14. Philippe Michel & Alain Venditti & Claude Jessua, 1996. "Croissance optimale et cycles dans le modèle à générations imbriquées : un exemple," Revue Économique, Programme National Persée, vol. 47(3), pages 487-497.
  15. Tarek Coury & Yi Wen, 2009. "Global indeterminacy in locally determinate real business cycle models," International Journal of Economic Theory, The International Society for Economic Theory, vol. 5(1), pages 49-60.
  16. Barnett, William A. & Duzhak, Evgeniya Aleksandrovna, 2008. "Non-robust dynamic inferences from macroeconometric models: Bifurcation stratification of confidence regions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3817-3825.
  17. Franz Wirl, 1999. "De- and Reforestation: Stability, Instability and Limit Cycles," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 14(4), pages 463-479, December.
  18. repec:eee:ecmode:v:67:y:2017:i:c:p:175-183 is not listed on IDEAS
  19. K. Vela Velupillai, 2008. "JAPANESE CONTRIBUTIONS TO NONLINEAR CYCLE THEORY IN THE 1950s," The Japanese Economic Review, Japanese Economic Association, vol. 59(1), pages 54-74.
  20. Judd, Kenneth L., 1996. "Approximation, perturbation, and projection methods in economic analysis," Handbook of Computational Economics,in: H. M. Amman & D. A. Kendrick & J. Rust (ed.), Handbook of Computational Economics, edition 1, volume 1, chapter 12, pages 509-585 Elsevier.
  21. d’Albis, Hippolyte & Augeraud-Veron, Emmanuelle & Venditti, Alain, 2012. "Business cycle fluctuations and learning-by-doing externalities in a one-sector model," Journal of Mathematical Economics, Elsevier, vol. 48(5), pages 295-308.
  22. Umberto Neri & Beatrice Venturi, 2007. "Stability and bifurcations in IS-LM economic models," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 54(1), pages 53-65, March.
  23. William A. Barnett & Yijun He & ., 1999. "Stabilization Policy as Bifurcation Selection: Would Keynesian Policy Work if the World Really were Keynesian?," Macroeconomics 9906008, EconWPA.
  24. Tvede Mich, 2009. "Fluctuations in Overlapping Generations Economies," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 9(1), pages 1-19, May.
  25. Michele Boldrin, 1988. "Persistent Oscillations and Chaos in Dynamic Economic Models: Notes for a Survey," UCLA Economics Working Papers 458A, UCLA Department of Economics.
  26. Luciano Fanti & Luca Gori, 2013. "Fertility-related pensions and cyclical instability," Journal of Population Economics, Springer;European Society for Population Economics, vol. 26(3), pages 1209-1232, July.
  27. Murakami, Hiroki, 2014. "Keynesian systems with rigidity and flexibility of prices and inflation–deflation expectations," Structural Change and Economic Dynamics, Elsevier, vol. 30(C), pages 68-85.
  28. He, Yijun & Barnett, William A., 2006. "Singularity bifurcations," Journal of Macroeconomics, Elsevier, vol. 28(1), pages 5-22, March.
  29. Bambi, Mauro & Gozzi, Fausto & Licandro, Omar, 2014. "Endogenous growth and wave-like business fluctuations," Journal of Economic Theory, Elsevier, vol. 154(C), pages 68-111.
  30. Beaudry, Paul & Galizia, Dana & Portier, Franck, 2016. "Putting the Cycle Back into Business Cycle Analysis," TSE Working Papers 16-734, Toulouse School of Economics (TSE).
  31. Toichiro Asada, 1991. "On a mixed competitive-monopolistic macrodynamic model in a monetary economy," Journal of Economics, Springer, vol. 54(1), pages 33-53, February.
  32. Barnett, William A. & He, Susan, 2010. "Existence of singularity bifurcation in an Euler-equations model of the United States economy: Grandmont was right," Economic Modelling, Elsevier, vol. 27(6), pages 1345-1354, November.
  33. Dominique Guégan, 2007. "Chaos in economics and finance," Documents de travail du Centre d'Economie de la Sorbonne b07054, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne, revised Jan 2009.
  34. Alain Venditti, 2012. "Weak concavity properties of indirect utility functions in multisector optimal growth models," International Journal of Economic Theory, The International Society for Economic Theory, vol. 8(1), pages 13-26, March.
  35. Growiec, Jakub & McAdam, Peter & Mućk, Jakub, 2018. "Endogenous labor share cycles: Theory and evidence," Journal of Economic Dynamics and Control, Elsevier, vol. 87(C), pages 74-93.
  36. Philippe Michel & Bertrand Wigniolle, 1993. "Une présentation simple des dynamiques complexes," Revue Économique, Programme National Persée, vol. 44(5), pages 885-912.
  37. William Barnett & Evgeniya Duzhak, 2010. "Empirical assessment of bifurcation regions within New Keynesian models," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 99-128, October.
  38. repec:eee:reecon:v:72:y:2018:i:1:p:117-146 is not listed on IDEAS
  39. Kazuo Nishimura & Alain Venditti & Makoto Yano, 2009. "Optimal Growth and Competitive Equilibrium Business Cycles under Decreasing Returns in Two-Country Models," Review of International Economics, Wiley Blackwell, vol. 17(SI), pages 371-391, May.
  40. Jinill Kim & Andrew T. Levin & Tack Yun, 2007. "Diagnosing and treating bifurcations in perturbation analysis of dynamic macro models," Finance and Economics Discussion Series 2007-14, Board of Governors of the Federal Reserve System (U.S.).
  41. Kazuo Nishimura & Alain Venditti & Makoto Yano, 2014. "Destabilization effect of international trade in a perfect foresight dynamic general equilibrium model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(2), pages 357-392, February.
  42. Drugeon, Jean-Pierre, 2008. "On intersectoral asymmetries in factors substitutability, "Equilibrium Production Possibility Frontiers" and the emergence of indeterminacies," Journal of Mathematical Economics, Elsevier, vol. 44(3-4), pages 277-315, February.
  43. Jean-Pierre Drugeon, 2008. "On Intersectoral Asymmetries in Factors Substitutability “Equilibrium Production Possibility Frontiers” and the emergence of indeterminacies," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00182205, HAL.
  44. Tarek Coury & Yi Wen, 2007. "Global indeterminacy in locally determinate RBC models," Working Papers 2007-029, Federal Reserve Bank of St. Louis.
  45. Venditti, Alain, 2005. "The two sector overlapping generations model: A simple formulation," Research in Economics, Elsevier, vol. 59(2), pages 164-188, June.
  46. Willi Semmler & Malte Sieveking, 1994. "On the optimal exploitation of interacting resources," Journal of Economics, Springer, vol. 59(1), pages 23-49, February.
  47. Drugeon, Jean-Pierre & Venditti, Alain, 2001. "Intersectoral external effects, multiplicities & indeterminacies," Journal of Economic Dynamics and Control, Elsevier, vol. 25(5), pages 765-787, May.
  48. Hoekstra, Jeljer & van den Bergh, Jeroen C.J.M., 2005. "Harvesting and conservation in a predator-prey system," Journal of Economic Dynamics and Control, Elsevier, vol. 29(6), pages 1097-1120, June.
  49. Antinolfi, Gaetano & Keister, Todd & Shell, Karl, 2001. "Growth Dynamics and Returns to Scale: Bifurcation Analysis," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 70-96, January.
  50. Krysiak, Frank C. & Krysiak, Daniela, 2002. "Aggregation of Dynamic Systems and the Existence of a Regeneration Function," Journal of Environmental Economics and Management, Elsevier, vol. 44(3), pages 517-539, November.
  51. Franz Wirl, 1994. "The ramsey model revisited: The optimality of cyclical consumption and growth," Journal of Economics, Springer, vol. 60(1), pages 81-98, February.
  52. repec:hal:journl:halshs-00717198 is not listed on IDEAS
  53. Grandmont, Jean-Michel, 1998. "Introduction to Market Psychology and Nonlinear Endogenous Business Cycles," Journal of Economic Theory, Elsevier, vol. 80(1), pages 1-13, May.
  54. William A. Barnett & Yijun He, 1999. "Center Manifold, Stability, and Bifurcations in Continuous Time Macroeconometric Systems," Macroeconomics 9901002, EconWPA.
  55. Wirl, Franz, 1999. "Complex, dynamic environmental policies," Resource and Energy Economics, Elsevier, vol. 21(1), pages 19-41, January.
  56. William A. Barnett & Yijun He, 2002. "Bifurcations in Macroeconomic Models," Macroeconomics 0210006, EconWPA.
  57. Montrucchio, Luigi, 1995. "A turnpike theorem for continuous-time optimal-control models," Journal of Economic Dynamics and Control, Elsevier, vol. 19(3), pages 599-619, April.
  58. William Barnett & Evgeniya A. Duzhak, "undated". "Structural Stability of the Generalized Taylor Rule," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 201404, University of Kansas, Department of Economics.
  59. Stéphane Hallegatte & Michael Ghil, 2007. "Endogenous Business Cycles and the Economic Response to Exogenous Shocks," Working Papers 2007.20, Fondazione Eni Enrico Mattei.
  60. Datta, Soumya, 2013. "Robustness and Stability of Limit Cycles in a Class of Planar Dynamical Systems," MPRA Paper 50814, University Library of Munich, Germany.
  61. Brecher, Richard A. & Chen, Zhiqi & Choudhri, Ehsan U., 2005. "Dynamic stability in a two-country model of optimal growth and international trade," Journal of Economic Dynamics and Control, Elsevier, vol. 29(3), pages 583-594, March.
  62. Takahashi, Harutaka, 2010. "Global analysis of the growth and cycles of multi-sector economies with constant returns: A turnpike approach," MPRA Paper 24860, University Library of Munich, Germany, revised Jun 2010.
  63. Gong, Liutang & Zhao, Xiaojun & Yang, Yunhong & Hengfu, Zou, 2010. "Stochastic growth with social-status concern: The existence of a unique stable distribution," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 505-518, July.
  64. Alex Haro & Pere Gomis-Poruqeras, 2004. "Computing Center Manifolds: A Macroeconomic Example," Computing in Economics and Finance 2004 38, Society for Computational Economics.
  65. Wolff, Reiner, 1997. "Saddle-point dynamics in non-autonomous models of multisector growth with variable returns to scale," Journal of Mathematical Economics, Elsevier, vol. 27(3), pages 267-282, April.
  66. Harutaka Takahashi, 2008. "Optimal balanced growth in a general multi-sector endogenous growth model with constant returns," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(1), pages 31-49, October.
  67. Xue-Zhong He & Kai Li, 2014. "Time Series Momentum and Market Stability," Research Paper Series 341, Quantitative Finance Research Centre, University of Technology, Sydney.
  68. Dominique, C-Rene, 2015. "How Market Economies Come to Live and Grow on the Edge of Chaos," MPRA Paper 65945, University Library of Munich, Germany.
  69. Kalra, Sanjay, 1996. "Cyclical equilibria in multi-sector productive economies: The role of substitution and factor intensity," Journal of Economic Dynamics and Control, Elsevier, vol. 20(9-10), pages 1709-1729.
  70. repec:hal:journl:halshs-00187885 is not listed on IDEAS
  71. repec:hal:journl:halshs-00375713 is not listed on IDEAS
  72. Engelbert Dockner & Gustav Feichtinger, 1991. "On the optimality of limit cycles in dynamic economic systems," Journal of Economics, Springer, vol. 53(1), pages 31-50, February.
  73. Toichiro Asada, 1995. "Kaldorian dynamics in an open economy," Journal of Economics, Springer, vol. 62(3), pages 239-269, October.
  74. Akhmet, Marat & Akhmetova, Zhanar & Fen, Mehmet Onur, 2014. "Chaos in economic models with exogenous shocks," Journal of Economic Behavior & Organization, Elsevier, vol. 106(C), pages 95-108.
  75. Jinill Kim & Andrew Levin & Tack Yun, 2011. "Bifurcation in Perturbation Analysis:Calvo Pricing Examples," Computational Economics, Springer;Society for Computational Economics, vol. 37(3), pages 221-236, March.
  76. George-Marios Angeletos & Laurent E. Calvet, 2001. "Incomplete Markets, Growth, and the Business Cycle," Harvard Institute of Economic Research Working Papers 1910, Harvard - Institute of Economic Research.
  77. Nishimura, Kazuo & Venditti, Alain, 2004. "Indeterminacy And The Role Of Factor Substitutability," Macroeconomic Dynamics, Cambridge University Press, vol. 8(04), pages 436-465, September.
  78. Michael Woodford, 1990. "Equilibrium Models of Endogenous Fluctuations: an Introduction," NBER Working Papers 3360, National Bureau of Economic Research, Inc.
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