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EnglishIn this paper we analyze the global structure of a tree-dimensional abstract continuous time stationary economic model that includes some determinates parameters. We use rigorous arguments to show as an equilibrium of the model could be destabilized into a stable cycle in the dynamic of R3 under the following two alternative assumptions. a) A steady state has three stable roots. b) A closed orbit has a two dimensional manifolds in which it is asymptotically stable, Next we apply this results to some related economic-financials models as a general new businesses IS-LM model as formulated by Neri and Venturi 2007, that undergo Hopf bifurcations for some parameters values. JEL classification: C62, E32 Keywords: deterministic cycles, Hoph bifurcations, stability of periodic orbits
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| Titolo: | Some Note about the Existence and Stability of Periodic solutions in non linear three-dimensional Economic Financial Models |
| Autori: | |
| Data di pubblicazione: | 2007 |
| Abstract: | In this paper we analyze the global structure of a tree-dimensional abstract continuous time stationary economic model that includes some determinates parameters. We use rigorous arguments to show as an equilibrium of the model could be destabilized into a stable cycle in the dynamic of R3 under the following two alternative assumptions. a) A steady state has three stable roots. b) A closed orbit has a two dimensional manifolds in which it is asymptotically stable, Next we apply this results to some related economic-financials models as a general new businesses IS-LM model as formulated by Neri and Venturi 2007, that undergo Hopf bifurcations for some parameters values. JEL classification: C62, E32 Keywords: deterministic cycles, Hoph bifurcations, stability of periodic orbits |
| Handle: | http://hdl.handle.net/11584/17142 |
| ISBN: | 978-88-464-9056-8 |
| Tipologia: | 2.1 Contributo in volume (Capitolo o Saggio) |
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