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Nonlinear Difference Equations, Bifurcations and Chaos: An Introduction

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  1. Koskela, E. & Ollikainen, M. & Puhakka, M., 2000. "Saddles, Indeterminacy and Bifurcations in an Overlapping Generations Economy with a Renewable Resource," University of Helsinki, Department of Economics 476, Department of Economics.
  2. Puga, Diego, 1999. "The rise and fall of regional inequalities," European Economic Review, Elsevier, vol. 43(2), pages 303-334, February.
  3. Dufourt, Frédéric & Nishimura, Kazuo & Venditti, Alain, 2015. "Indeterminacy and sunspots in two-sector RBC models with generalized no-income-effect preferences," Journal of Economic Theory, Elsevier, vol. 157(C), pages 1056-1080.
  4. Paolo Mattana & Kazuo Nishimura & Tadashi Shigoka, 2012. "Homoclinic Bifurcation and Global Indeterminacy of Equilibrium in a Two-Sector Endogenous Growth Model," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 427-451, Springer.
  5. Dos Santos Ferreira, Rodolphe & Lloyd-Braga, Teresa, 2005. "Non-linear endogenous fluctuations with free entry and variable markups," Journal of Economic Dynamics and Control, Elsevier, vol. 29(5), pages 847-871, May.
  6. Grandmont, Jean-Michel & Pintus, Patrick & de Vilder, Robin, 1998. "Capital-Labor Substitution and Competitive Nonlinear Endogenous Business Cycles," Journal of Economic Theory, Elsevier, vol. 80(1), pages 14-59, May.
  7. Gardini, Laura & Hommes, Cars & Tramontana, Fabio & de Vilder, Robin, 2009. "Forward and backward dynamics in implicitly defined overlapping generations models," Journal of Economic Behavior & Organization, Elsevier, vol. 71(2), pages 110-129, August.
  8. Kenji Sato & Makoto Yano, 2013. "Optimal ergodic chaos under slow capital depreciation," International Journal of Economic Theory, The International Society for Economic Theory, vol. 9(1), pages 57-67, March.
  9. Bullard, James & Butler, Alison, 1993. "Nonlinearity and Chaos in Economic Models: Implications for Policy Decisions," Economic Journal, Royal Economic Society, vol. 103(419), pages 849-867, July.
  10. Antoine Le Riche & Francesco Magris, 2016. "Decreasing Transaction Costs and Endogenous Fluctuations in a Monetary Model," Economics Bulletin, AccessEcon, vol. 36(4), pages 2381-2393.
  11. Ajevskis, Viktors, 2019. "Nonlocal Solutions To Dynamic Equilibrium Models: The Approximate Stable Manifolds Approach," Macroeconomic Dynamics, Cambridge University Press, vol. 23(6), pages 2544-2571, September.
  12. Antoine Riche & Francesco Magris & Daria Onori, 2020. "Monetary rules in a two-sector endogenous growth model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(4), pages 1049-1100, June.
  13. Theodore Palivos & Dimitrios Varvarigos, 2010. "Education and growth: A simple model with complicated dynamics," International Journal of Economic Theory, The International Society for Economic Theory, vol. 6(4), pages 367-384, December.
  14. Modesto, Leonor & Lloyd-Braga, Teresa & Coimbra, Rui, 2002. "Endogenous Growth Fluctuations in Unionised Economy with Productive Externalities," CEPR Discussion Papers 3230, C.E.P.R. Discussion Papers.
  15. Stefano Bosi & David Desmarchelier, 2017. "A simple method to study local bifurcations of three and four-dimensional systems: characterizations and economic applications," Working Papers of BETA 2017-07, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
  16. Pfluger, Michael & Takatoshi Tabuchi, 2008. "Trade and Location with Land as a Productive Factor," CIRJE F-Series CIRJE-F-591, CIRJE, Faculty of Economics, University of Tokyo.
  17. Frédéric Dufourt & Kazuo Nishimura & Carine Nourry & Alain Venditti, 2017. "Sunspot Fluctuations in Two-Sector Models with Variable Income Effects," Studies in Economic Theory, in: Kazuo Nishimura & Alain Venditti & Nicholas C. Yannelis (ed.), Sunspots and Non-Linear Dynamics, chapter 0, pages 71-96, Springer.
  18. Cees Diks & Cars Hommes & Valentyn Panchenko & Roy Weide, 2008. "E&F Chaos: A User Friendly Software Package for Nonlinear Economic Dynamics," Computational Economics, Springer;Society for Computational Economics, vol. 32(1), pages 221-244, September.
  19. Bullard James, 1994. "Learning Equilibria," Journal of Economic Theory, Elsevier, vol. 64(2), pages 468-485, December.
  20. Francesco MAGRIS & Daria ONORI, 2020. "Taylor and fiscal rules: when do they stabilize the economy?," LEO Working Papers / DR LEO 2746, Orleans Economics Laboratory / Laboratoire d'Economie d'Orleans (LEO), University of Orleans.
  21. Frédéric Lordon, 1995. "Cycles et chaos dans un modèle hétérodoxe de croissance endogène," Revue Économique, Programme National Persée, vol. 46(6), pages 1405-1432.
  22. Bosi, Stefano & Desmarchelier, David, 2019. "Local bifurcations of three and four-dimensional systems: A tractable characterization with economic applications," Mathematical Social Sciences, Elsevier, vol. 97(C), pages 38-50.
  23. Calvet, Laurent E., 2001. "Incomplete Markets and Volatility," Journal of Economic Theory, Elsevier, vol. 98(2), pages 295-338, June.
  24. Magris, Francesco, 2012. "Indeterminacy and multiple steady states with sector-specific externalities," Economic Modelling, Elsevier, vol. 29(6), pages 2664-2672.
  25. Aloi, Marta & Dixon, Huw D. & Lloyd-Braga, Teresa, 2000. "Endogenous fluctuations in an open economy with increasing returns to scale," Journal of Economic Dynamics and Control, Elsevier, vol. 24(1), pages 97-125, January.
  26. Brock, W.A. & Hommes, C.H. & Wagener, F.O.O., 2009. "More hedging instruments may destabilize markets," Journal of Economic Dynamics and Control, Elsevier, vol. 33(11), pages 1912-1928, November.
  27. Deng, Liuchun & Khan, M. Ali, 2018. "On Mitra’s sufficient condition for topological chaos: Seventeen years later," Economics Letters, Elsevier, vol. 164(C), pages 70-74.
  28. Stephan Russek, 2010. "Differential labour mobility and agglomeration," Papers in Regional Science, Wiley Blackwell, vol. 89(3), pages 587-606, August.
  29. Zhang, Guang & Zhang, Ruixuan & Yan, Yubin, 2020. "The diffusion-driven instability and complexity for a single-handed discrete Fisher equation," Applied Mathematics and Computation, Elsevier, vol. 371(C).
  30. Luciana BARTOLINI & Francesco MAGRIS, 2022. "Growth, Lockdown and the Dynamics of the Covid-19 Pandemic," LEO Working Papers / DR LEO 2935, Orleans Economics Laboratory / Laboratoire d'Economie d'Orleans (LEO), University of Orleans.
  31. Amable, Bruno, 1995. "Endogenous growth and cycles through radical and incremental innovation," CEPREMAP Working Papers (Couverture Orange) 9504, CEPREMAP.
  32. Pflüger, Michael & Tabuchi, Takatoshi, 2010. "The size of regions with land use for production," Regional Science and Urban Economics, Elsevier, vol. 40(6), pages 481-489, November.
  33. Michael Pflüger & Jens Südekum, 2011. "On Pitchforks And Tomahawks," Journal of Regional Science, Wiley Blackwell, vol. 51(2), pages 292-298, May.
  34. Orlando Gomes, 2010. "Ordinary Least Squares Learning And Nonlinearities In Macroeconomics," Journal of Economic Surveys, Wiley Blackwell, vol. 24(1), pages 52-84, February.
  35. Pfluger, Michael, 2004. "A simple, analytically solvable, Chamberlinian agglomeration model," Regional Science and Urban Economics, Elsevier, vol. 34(5), pages 565-573, September.
  36. Alain Raybaut, 2021. "A first French episode in the renewal of nonlinear theory of economic cycles," Post-Print hal-03375804, HAL.
  37. Ingrid Kubin & Laura Gardini, 2022. "On the significance of borders: the emergence of endogenous dynamics," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 17(1), pages 41-62, January.
  38. Albu, Lucian-Liviu & Daianu, Daniel & Pavelescu, Florin-Marius, 2002. "Underground economy quantitative models. Some applications to Romania’s case," MPRA Paper 14210, University Library of Munich, Germany.
  39. Mateescu, Dan, 2016. "The Linear Regression Of Weighted Segments," Working Papers of Institute for Economic Forecasting 160720, Institute for Economic Forecasting.
  40. Negroni, Giorgio, 2005. "Eductive expectations coordination on deterministic cycles in an economy with identical fundamentals," Journal of Economic Behavior & Organization, Elsevier, vol. 58(3), pages 420-443, November.
  41. Ferraris, Leo & Watanabe, Makoto, 2011. "Collateral fluctuations in a monetary economy," Journal of Economic Theory, Elsevier, vol. 146(5), pages 1915-1940, September.
  42. Al-Hdaibat, Bashir & Govaerts, Willy & Neirynck, Niels, 2015. "On periodic and chaotic behavior in a two-dimensional monopoly model," Chaos, Solitons & Fractals, Elsevier, vol. 70(C), pages 27-37.
  43. 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.
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