Neamtu, Mihaela and Opris, Dumitru and Chilarescu, Constantin (2005): Hopf bifurcation in a dynamic IS-LM model with time delay. Published in: Chaos, Solitons and Fractals , Vol. 34, No. 2 (2007): pp. 519-530.
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Abstract
The paper investigates the impact of delayed tax revenues on the fiscal policy out-comes. Choosing the delay as a bifurcation parameter we study the direction and the stability of the bifurcating periodic solutions. We show when the system is stable with respect to the delay. Some numerical examples are given to confirm the theoretical results.
Item Type: | MPRA Paper |
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Original Title: | Hopf bifurcation in a dynamic IS-LM model with time delay |
Language: | English |
Keywords: | delay differential equation; stability; Hopf bifurcation; IS-LM model |
Subjects: | C - Mathematical and Quantitative Methods > C5 - Econometric Modeling > C51 - Model Construction and Estimation C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C63 - Computational Techniques ; Simulation Modeling C - Mathematical and Quantitative Methods > C0 - General > C02 - Mathematical Methods |
Item ID: | 13270 |
Depositing User: | Constantin Chilarescu |
Date Deposited: | 10 Feb 2009 08:36 |
Last Modified: | 26 Sep 2019 22:25 |
References: | [1] Cai J, Hopf bifurcation in the IS-LM business cycle model with time delay, Electronic Journal of Differential Equations, 2005(15):1-6. [2] De Cesare L, Sportelli M, A dynamic IS-LMmodel with delayed taxation revenues, Chaos, Solitons and Fractals, 2005(25):233-44. [3] Hale J. K, Lunel S.M. V, Introduction to Functional Differential Equation, Springer-Verlag, New York, Applied Mathematical Sciences, 1993(99). [4] Hassard B.D, Kazarinoff N.D, Wan Y.H, Theory and applications of Hopf bifurcation, Cambridge University Press, Cambridge, 1981. [5] Liao X, Li C, Zhou S, Hopf bifurcation and chaos in macroeconomic models with policy lag, Chaos, Solitons and Fractals, 2005(25):91-108. [6] Sasakura K, On the dynamic behavior of Schinasi’s business cycle model, J. Macroecon, 1994(16):423-44. [7] Schinasi G.J, A nonlinear dynamic model of short run fluctuations, Rev. Econ. Stud.,1981(48):649-56. [8] Schinasi G.J, Fluctuations in a dynamic intermediate-run IS-LM model: applications of the Poicar-Bendixon theorem, J. Econ Theory., 1982(28):369-75. [9] Szydlowski M, Krawiec A, The stability problem in the Kaldor-Kalecki business cycle model, Chaos, Solitons and Fractals, 2005(25):299-305. [10] Takeuchi Y, Yamamura T, Stability analysis of the Kaldor model with time delays: monetary policy and government budget constraint, Nonlinear Analysis, 2004(5):277-308. [11] Torre V, Existence of limit cycles and control in complete Keynesian systems by theory of bifurcations, Econometrica, 1977(45):1457-66. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/13270 |