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

Some Note about the Existence and Stability of Periodic solutions in non linear three-dimensional Economic Financial Models

VENTURI, BEATRICE
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
978-88-464-9056-8
deterministic cycles; Hoph bifurcations; stability of periodic orbits; Cicli; Biforcazioni di Hopf; Stabilità di orbite periodiche
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11584/17142
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact