Open Access
Issue |
Math. Model. Nat. Phenom.
Volume 15, 2020
Systems with Hysteresis and Switching
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|
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Article Number | 49 | |
Number of page(s) | 24 | |
DOI | https://doi.org/10.1051/mmnp/2019061 | |
Published online | 11 November 2020 |
- G. Antinolfi, C. Azariadis and J.B. Bullard, Monetary policy as equilibrium selection. Rev. Federal Reserve Bank Saint Louis 89 (2007) 331–342. [Google Scholar]
- M. Al Janaideh, S. Rakheja and C.Y. Su, A generalized Prandtl-Ishlinskii model for characterizing the hysteresis and saturation nonlinearities of smart actuators. Smart Mater. Struct. 18 (2009) 045001. [Google Scholar]
- M. Arnold, N. Begun, P. Gurevich, E. Kwame, H. Lamba and D. Rachinskii, Dynamics of discrete time systems with a hysteresis stop operator. SIAM J. Appl. Dyn. Syst. 16 (2017) 91–119. [Google Scholar]
- V. Avrutin and I. Sushko, A gallery of bifurcation scenarios in piecewise smooth 1d maps, in Global Analysis of Dynamic Models in Economics and Finance. Springer (2013) 369–395. [CrossRef] [Google Scholar]
- L.M. Ball, Hysteresis in unemployment: Old and new evidence. The National Bureau of Economic Research Working Paper 14818 (2009) 1–35. [Google Scholar]
- O. Blanchard and J. Wolfers, The roles of shocks and institutions in the rise of European unemployment: the aggregate evidence. Econ. J. 110 (2000) C1–C33. [CrossRef] [Google Scholar]
- J. Benhabib and R.E.A. Farmer, Indeterminacy and sunspots in macroeconomics. In Vol. 1 of Handbook of Macroeconomics (1999) 387–448. [CrossRef] [Google Scholar]
- A. Bick, Threshold effects of inflation on economic growth in developing countries. Econ. Lett. 108 (2010) 126–129. [Google Scholar]
- M. Brokate and J. Sprekels, Hysteresis and Phase Transitions. Springer Series in Computational Mathematics. Springer Berlin Heidelberg (1996). [Google Scholar]
- W.A. Branch, Sticky information and model uncertainty in survey data on inflation expectations. J. Econ. Dyn. Control 31 (2007) 245–276. [Google Scholar]
- C.D. Carroll, Macroeconomic expectations of households and professional forecasters. Quart. J. Econ. 118 (2003) 269–298. [CrossRef] [Google Scholar]
- G.A. Calvo, Staggered prices in a utility-maximizing framework. J. Monet. Econ. 12 (1983) 383–398. [Google Scholar]
- L. J. Christiano, M. Trabandt and K. Walentin, DSGE models for monetary policy analysis, in Handbook of Monetary Economics, edited by B.B. Friedman and M. Woodford. Elsevier (2010) 285–367. [CrossRef] [Google Scholar]
- D. Colander, P. Howitt, A. Kirman, A. Leijonhufvud and P. Mehrling, Beyond DSGE models: toward an empirically based macroeconomics. Am. Econ. Rev. 98 (2008) 236–240. [Google Scholar]
- R. Curtin, Inflation expectations and empirical tests. Inflation Expect. 56 (2010) 34–61. [Google Scholar]
- J. Darby, R. Cross and L. Piscitelli, Hysteresis and unemployment: a preliminary investigation. Vol. 1 of The Science of Hysteresis, edited by G. Bertotti, I. Mayergoyz. Elsevier (2006) 667–699. [CrossRef] [Google Scholar]
- G.W. Evans, B. McGough, Observability and equilibrium selection. Tech. rep., Mimeo, University of Oregon (2015). [Google Scholar]
- X. Gabaix, A sparsity-based model of bounded rationality. Quart. J. Econ. 129 (2014) 1661–1710. [CrossRef] [Google Scholar]
- P.D. Grauwe, Booms and busts in economic activity: a behavioral explanation. J. Econ. Behav. Organ. 83 (2012) 484–501. [Google Scholar]
- M. Göcke, Various concepts of hysteresis applied in economics. J. Econ. Surv. 16 (2002) 167–188. [Google Scholar]
- M. Göcke and L. Werner, Play hysteresis in supply or in demand as part of a market model. Metroeconomica 66 (2015) 339–374. [Google Scholar]
- J.M. Frimpong and E.F. Oteng-Abayie, When is inflation harmful? Estimating the threshold effect for Ghana. Am. J. Econ. Bus. Admin. 2 (2010) 232–239. [Google Scholar]
- G. Fuchs, Structural stability for dynamical economic models. J. Math. Econ. 2 (1975) 139–154. [Google Scholar]
- R. F. Hartl and P.M. Kort, History dependence without unstable steady state: a non-differentiable framework. J. Math. Econ. 39 (2003) 891–900. [Google Scholar]
- B.D. Keen, Output, inflation, and interest rates in an estimated optimizing model of monetary policy. Rev. Econ. Dyn. 12 (2009) 327–343. [Google Scholar]
- A. Ishlinskii, Some applications of statistical methods to describing deformations of bodies. Izv. A.N. S.S.S.R., Techn. Ser. 9 (1944) 583–590. [Google Scholar]
- N. Kaldor, The irrelevance of equilibrium economics. Econ. J. 82 (1972) 1237–1255. [CrossRef] [Google Scholar]
- J.M. Keynes, Poverty in plenty: is the economic system self-adjusting?, The Listener, London, CWK (1934) 489–497. [Google Scholar]
- M.S. Khan and A.S. Senhadji, Threshold effects in the relationship between inflation and growth. IMF Staff Papers 48 (2001) 1–21. [Google Scholar]
- M.A. Krasnosel’skii and A.V. Pokrovskii, Systems with Hysteresis. Springer (1989). [CrossRef] [Google Scholar]
- S. Kremer, A. Bick and D. Nautz, Inflation and growth: new evidence from a dynamic panel threshold analysis. Empir. Econ. 44 (2013) 861–878. [Google Scholar]
- P. Krejčí, H. Lamba, S. Melnik and D. Rachinskii, Analytical solutions for a class of network dynamics with mechanical and financial applications. Phys. Rev. E 90 (2014) 032822. [Google Scholar]
- P. Krejčí and P. Laurençot, Hysteresis filtering in the space of bounded measurable functions. Boll. Unione Mat. Ital. 8 (2002) 755–772. [Google Scholar]
- P. Krejčí, E. Kwame, H. Lamba and D. Rachinskii, A continuum of path-dependent equilibrium solutions induced by sticky expectations. Preprint arXiv:1711.08038 (2017). [Google Scholar]
- P. Krejčí and J. Sprekels, Elastic-ideally plastic beams and Prandtl-Ishlinskii hysteresis operators. Math. Meth. Appl. Sci. 30 (2007) 2371–2393. [CrossRef] [Google Scholar]
- P. Krejčí, Hysteresis and periodic solutions of semilinear and quasilinear wave equation. Math. Z. 193 (1986) 247–264. [CrossRef] [Google Scholar]
- P. Krejčí, H. Lamba, S. Melnik and D. Rachinskii, Kurzweil integral representation of interacting Prandtl-Ishlinskii operators. Discr. Continu. Dyn. Syst. B 20 (2015) 2949–2965. [CrossRef] [Google Scholar]
- P. Krejčí, H. Lamba, G.A. Monteiro and D. Rachinskii, Kurzweil integral in financial market modelling. Math. Bohem. 141 (2016) 261–286. [CrossRef] [Google Scholar]
- V. Lampaert, F. Al-Bender and J. Swevers, A generalized Maxwell-slip friction model appropriate for control purposes, in 2003 IEEE International Workshop on Workload Characterization (2003) 1170–1177. [Google Scholar]
- G.N. Mankiw and R. Reis, Sticky information versus sticky prices: a proposal to replace the New Keynesian Phillips curve. Quart. J.Econ. 117 (2002) 1295–1328. [CrossRef] [Google Scholar]
- A. Marshall, Principles of Economics. Macmillan (1890). [Google Scholar]
- P. Mirowski, More Heat Than Light. Cambridge University Press (1989). [CrossRef] [Google Scholar]
- J.F. Muth, Rational expectations and the theory of price movements. Econometrica 29 (1961) 315–335. [Google Scholar]
- B.A. Maćkowiak and M. Wiederholt, Business cycle dynamics under rational inattention. Rev. Econ. Stud. 82 (2015) 1502–1532. [Google Scholar]
- G.N. Mankiw, R. Reis and J. Wolfers, Disagreement about inflation expectations. NBER Macroecon. Annu. 18 (2003) 209–248. [Google Scholar]
- L. Prandtl, Ein Gedankenmodell zur kinetischen Theorie der festen Körper. J. Appl. Math. Mech. 8 (1928) 85–106. [Google Scholar]
- D. Rachinskii, Equivalent combinations of stops. Automat. Remote Control 59 (1998) 1370–1378. [Google Scholar]
- J. Robinson, History versus equilibrium. Indian Econ. J. 21 (1974) 202–213. [Google Scholar]
- J. Rudd and K. Whelan, Can rational expectations sticky-price models explain inflation dynamics? Am. Econ. Rev. 96 (2006) 303–320. [Google Scholar]
- I. Rychlik, A new definition of the rainflow cycle counting method. Int. J. Fatigue 9 (1987) 119–121. [Google Scholar]
- A.M. Sbordone, A. Tambalotti, K. Rao and K.J. Walsh, Policy analysis using DSGE models: an introduction. Econ. Policy Rev. 16 (2010) 23–43. [Google Scholar]
- M. Setterfield, Should economists dispense with the notion of equilibrium? J. Post Keynes. Econ. 20 (1997) 47–76. [Google Scholar]
- C.A. Sims, Rational Inattention and Monetary Economics. Vol. 3 of Handbook of Monetary Economics, edited by B.M. Friedman, M. Woodford. Elsevier (2010) 155–181. [CrossRef] [Google Scholar]
- C.A. Sims, Implications of rational inattention. J. Monet. Econ. 50 (2003) 665–690. [Google Scholar]
- N.L. Stokey, The Economics of Inaction: Stochastic Control Models with Fixed Costs. Princeton University Press (2009). [Google Scholar]
- J.B. Taylor, The inflation/output variability trade-off revisited. Federal Reserve Bank of Boston Conf. Ser. 38 (1994) 21–38. [Google Scholar]
- T. Vinayagathasan, Inflation and economic growth: a dynamic panel threshold analysis for Asian economies. J. Asian Econ. 26 (2013) 31–41. [Google Scholar]
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