Electronic Journal of Differential Equations,
Vol. 2008(2008), No. 134, pp. 1-9.

Title: Fluctuations in a mixed IS-LM business cycle model
  
Authors: Abdelilah Kaddar    (Chouaib Doukkali Univ., Morocco)
         Hamad Talibi Alaoui (Chouaib Doukkali Univ., Morocco)

Abstract:
 In the present paper, we extend a delayed IS-LM business cycle
 model by introducing an additional advance (anticipated capital
 stock) in the investment function. The resulting model is
 represented in terms of mixed differential equations. For the
 deviating argument $\tau$ (advance and delay) being a bifurcation
 parameter we investigate the local stability and the local Hopf
 bifurcation. Also some numerical simulations are given to support
 the theoretical analysis.
 
Submitted June 21, 2008. Published September 26, 2008.
Math Subject Classifications: 37G15, 91B62.
Key Words: IS-LM business cycle; mixed differential equations; 
           Hopf bifurcation; periodic solutions.