Geodesic
Hopf bifurcation in the IS-LM business cycle model with time delay
Electronic Journal of Differential Equations, Tome 2005 (2005).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: The distinction between investment decisions and implementation leads us to formulate a new IS-LM business cycle model. It is shown that the dynamics depends crucially on the time delay parameter - the gestation time period of investment. The Hopf bifurcation theorem is used to predict the occurrence of a limit cycle bifurcation for the time delay parameter. Our analysis shows that the limit cycle behavior is independent of the assumption of nonlinearity of the investment function. An example is given to verify the theoretical results.
Classification : 37G15, 91B62
Keywords: Hopf bifurcation, business cycle, IS-LM model, time delay 
@article{EJDE_2005__2005__a98,
     author = {Cai, Jianping},
     title = {Hopf bifurcation in the {IS-LM} business cycle model with time delay},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2005},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a98/}
}
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Cai, Jianping. Hopf bifurcation in the IS-LM business cycle model with time delay. Electronic Journal of Differential Equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a98/