Nonlinear difference equations bifurcations and chaos : an introduction

Citations

Cited by:

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.
   • Koskela, Erkki & Ollikainen, Markku & Puhakka, Mikko, 2002. "Saddles, Indeterminacy and Bifurcations in an Overlapping Generations Economy with a Renewable Resource," Discussion Papers 789, The Research Institute of the Finnish Economy.
   • Erkki Koskela & Markku Ollikainen & Mikko Puhakka, 2000. "Saddles, Indeterminacy and Bifurcations in an Overlapping Generations Economy with a Renewable Resource," Econometric Society World Congress 2000 Contributed Papers 1810, Econometric Society.
   • Erkki Koskela & Markku Ollikainen & Mikko Puhakka, 2000. "Saddles, Indeterminacy and Bifurcations in an Overlapping Generations Economy with a Renewable Resource," CESifo Working Paper Series 298, CESifo.
2. Puga, Diego, 1999. "The rise and fall of regional inequalities," European Economic Review, Elsevier, vol. 43(2), pages 303-334, February.
   • Diego Puga, 1996. "The Rise and Fall of Regional Inequalities," CEP Discussion Papers dp0314, Centre for Economic Performance, LSE.
   • Puga, Diego, 1997. "The Rise and Fall of Regional Inequalities," CEPR Discussion Papers 1575, C.E.P.R. Discussion Papers.
   • Puga, Diego, 1996. "The rise and fall of regional inequalities," LSE Research Online Documents on Economics 20643, London School of Economics and Political Science, LSE Library.
3. 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).
4. 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.
   • Frédéric Dufourt & Kazuo Nishimura & Carine Nourry & Alain Venditti, 2015. "Sunspot Fluctuations in Two-Sector Models with Variable Income Effects," Working Papers halshs-01269951, HAL.
   • Frédéric Dufourt & Kazuo Nishimura & Carine Nourry & Alain Venditti, 2016. "Sunspot Fluctuations in Two-Sector Models with Variable Income Effects," AMSE Working Papers 1607, Aix-Marseille School of Economics, France, revised Dec 2015.
   • Frédéric Dufourt & Kazuo Nishimura & Carine Nourry & Alain Venditti, 2017. "Sunspot Fluctuations in Two-Sector Models with Variable Income Effects," Post-Print hal-01505779, HAL.
5. 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.
   • Frédéric Dufourt & Kazuo Nishimura & Alain Venditti, 2015. "Indeterminacy and Sunspots in Two-Sector RBC Models with Generalized No-Income-Effect Preferences," AMSE Working Papers 1514, Aix-Marseille School of Economics, France.
   • Frédéric Dufourt & Kazuo Nishimura & Alain Venditti, 2015. "Indeterminacy and sunspots in two-sector RBC models with generalized no-income-effect preferences," Post-Print hal-01457296, HAL.
   • Frédéric Dufourt & Kazuo Nishimura & Alain Venditti, 2015. "Indeterminacy and Sunspots in Two-Sector RBC Models with Generalized No-Income-Effect Preferences," Working Papers halshs-01131411, HAL.
6. 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.
   • Paolo Mattana & Kazuo Nishimura & Tadashi Shigoka, 2009. "Homoclinic bifurcation and global indeterminacy of equilibrium in a two‐sector endogenous growth model," International Journal of Economic Theory, The International Society for Economic Theory, vol. 5(1), pages 25-47, March.
7. 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.
   • Stefano Bosi & David Desmarchelier, 2017. "A simple method to study local bifurcations of three and four-dimensional systems: characterizations and economic applications," Working Papers 2017.16, FAERE - French Association of Environmental and Resource Economists.
   • Stefano BOSI & David DESMARCHELIER, 2017. "A simple method to study local bifurcations of three and four-dimensional systems: characterizations and economic applications," Documents de recherche 17-01, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.
8. 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.
   • Rodolphe dos Santos Ferreira & Teresa Lloyd-Braga, 2005. "Non-linear endogenous fluctuations with free entry and variable markups," Post-Print hal-00279179, HAL.
9. 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.
10. 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.
    • Jean-Michel Grandmont & P. Pintus & R, De Vilder, 1997. "Capital-Labor Substitution and Competitive Nonlinear Endogenous Business Cycles," Working Papers 97-28, Center for Research in Economics and Statistics.
    • GRANDMONT, Jean-Michel & PINTUS, Patrick & de VILDER, Robin, 1997. "Capital-labor substitution and competitive nonlinear endogenous business cycles," LIDAM Discussion Papers CORE 1997087, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
11. Amable, Bruno, 1995. "Endogenous growth and cycles through radical and incremental innovation," CEPREMAP Working Papers (Couverture Orange) 9504, CEPREMAP.
12. 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.
    • Laura Gardini & Cars Hommes & Fabio Tramontana & Robin de Vilder, 2008. "Forward and Backward Dynamics in Implicitly Defined Overlapping Generations Models," Working Papers 0806, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2008.
    • Gardini, L. & Hommes, C.H. & Tramontana, F. & de Vilder, R., 2009. "Forward and Backward Dynamics in implicitly defined Overlapping Generations Models," CeNDEF Working Papers 09-02, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
13. 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.
    • Stefano Bosi & David Desmarchelier, 2017. "Local Bifurcations of Three and Four-Dimensional Systems: A Tractable Characterization with Economic Applications," EUSP Department of Economics Working Paper Series 2017/02, European University at St. Petersburg, Department of Economics.
    • Stefano Bosi & David Desmarchelier, 2019. "Local bifurcations of three and four-dimensional systems : A tractable characterization with economic applications," Post-Print hal-02512900, HAL.
14. 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.
15. Michael Pflüger & Jens Südekum, 2011. "On Pitchforks And Tomahawks," Journal of Regional Science, Wiley Blackwell, vol. 51(2), pages 292-298, May.
    • Pflüger, Michael P. & Suedekum, Jens, 2007. "On Pitchforks and Tomahawks," IZA Discussion Papers 3258, Institute of Labor Economics (IZA).
16. Orlando Gomes, 2010. "Ordinary Least Squares Learning And Nonlinearities In Macroeconomics," Journal of Economic Surveys, Wiley Blackwell, vol. 24(1), pages 52-84, February.
17. Pfluger, Michael, 2004. "A simple, analytically solvable, Chamberlinian agglomeration model," Regional Science and Urban Economics, Elsevier, vol. 34(5), pages 565-573, September.
18. 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.
19. 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.
    • James B. Bullard & Alison Butler, 1992. "Nonlinearity and chaos in economic models: implications for policy decisions," Working Papers 1991-002, Federal Reserve Bank of St. Louis.
20. 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.
    • Antoine Le Riche & Francesco Magris, 2015. "Decreasing Transaction Costs and Endogenous Fluctuations in a Monetary Model," AMSE Working Papers 1535, Aix-Marseille School of Economics, France.
    • Antoine Le Riche & Francesco Magris, 2016. "Decreasing Transaction Costs and Endogenous Fluctuations in a Monetary Model," Post-Print hal-01446218, HAL.
    • Antoine Le Riche & Francesco Magris, 2016. "Decreasing Transaction Costs and Endogenous Fluctuations in a Monetary Model," Working Papers halshs-01199652, HAL.
21. 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.
    • Viktors Ajevskis, 2013. "Non-Local Solutions to Dynamic Equilibrium Models: the Approximate Stable Manifolds Approach," Working Papers 2013/03, Latvijas Banka.
    • Viktors Ajevskis, 2015. "Nonlocal Solutions to Dynamic Equilibrium Models: The Approximate Stable Manifolds Approach," Papers 1506.02521, arXiv.org.
22. 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.
    • Antoine Le Riche & Francesco Magris & Daria Onori, 2020. "Monetary rules in a two-sector endogenous growth model," Post-Print hal-03532486, HAL.
23. Magris, Francesco & Onori, Daria, 2024. "Taylor and fiscal rules: When do they stabilize the economy?," Mathematical Social Sciences, Elsevier, vol. 128(C), pages 68-89.
    • 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.
24. 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.
    • Theodore Palivos & Dimitrios Varvarigos, 2009. "Education and Growth: A Simple Model with Complicated Dynamics," Discussion Paper Series 2009_08, Department of Economics, University of Macedonia, revised Apr 2009.
25. Alain Raybaut, 2021. "A first French episode in the renewal of nonlinear theory of economic cycles," Post-Print hal-03375804, HAL.
26. 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.
27. 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.
    • William Brock & Cars Hommes & Florian Wagener, 2006. "More Hedging Instruments may destablize Markets," Tinbergen Institute Discussion Papers 06-080/1, Tinbergen Institute, revised 30 Apr 2008.
    • Brock, W.A. & Hommes, C.H. & Wagener, F.O.O., 2008. "More hedging instruments may destabilize markets," CeNDEF Working Papers 08-04, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    • Brock, W.A. & Hommes, C.H. & Wagener, F.O.O., 2006. "More hedging instruments may destabilize markets," CeNDEF Working Papers 06-12, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
28. 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.
    • Pflüger, Michael P. & Tabuchi, Takatoshi, 2008. "Trade and Location with Land as a Productive Factor," IZA Discussion Papers 3716, Institute of Labor Economics (IZA).
29. 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.
    • Diks, C.G.H. & Hommes, C.H. & Panchenko, V. & Weide, R. van der, 2006. "E&F Chaos: a user friendly software package for nonlinear economic dynamics," CeNDEF Working Papers 06-15, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
30. Bullard James, 1994. "Learning Equilibria," Journal of Economic Theory, Elsevier, vol. 64(2), pages 468-485, December.
    • James B. Bullard, 1991. "Learning equilibria," Working Papers 1991-004, Federal Reserve Bank of St. Louis.
31. 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.
32. Frédéric Lordon, 1995. "Cycles et chaos dans un modèle hétérodoxe de croissance endogène," Revue Économique, Programme National Persée, vol. 46(6), pages 1405-1432.
33. Calvet, Laurent E., 2001. "Incomplete Markets and Volatility," Journal of Economic Theory, Elsevier, vol. 98(2), pages 295-338, June.
    • Laurent E. Calvet, 1999. "Incomplete Markets and Volatility," Harvard Institute of Economic Research Working Papers 1865, Harvard - Institute of Economic Research.
    • Laurent-Emmanuel Calvet, 2001. "Incomplete Markets and Volatility," Post-Print hal-00477462, HAL.
34. Magris, Francesco, 2012. "Indeterminacy and multiple steady states with sector-specific externalities," Economic Modelling, Elsevier, vol. 29(6), pages 2664-2672.
35. 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.
36. 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.
    • Marta Aloi & Huw D. Dixon & Teresa Lloyd-Braga, 1998. "Endogenous Fluctuations In an Open Economy with Increasing Returns to Scale," Discussion Papers 98-03, University of Copenhagen. Department of Economics.
37. Mateescu, Dan, 2016. "The Linear Regression Of Weighted Segments," Working Papers of Institute for Economic Forecasting 160720, Institute for Economic Forecasting.
38. 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.
39. Ferraris, Leo & Watanabe, Makoto, 2011. "Collateral fluctuations in a monetary economy," Journal of Economic Theory, Elsevier, vol. 146(5), pages 1915-1940, September.
40. 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.
41. 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.
42. Stephan Russek, 2010. "Differential labour mobility and agglomeration," Papers in Regional Science, Wiley Blackwell, vol. 89(3), pages 587-606, August.
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.