Title
Stability and Hopf bifurcation for a business cycle model with expectation and delay
Abstract
•A nonlinear business cycle model with expectation is formulated based on rational expectation hypothesis.•Theoretical results including stability, Hopf bifurcation and its direction and stability are obtained.•The effects of expectation and delay on nonlinear business cycle model are investigated.•Simulations are conducted to discuss the dynamic behaviors of the business cycle model.•Some suggestions on inhibiting the abnormal economic fluctuations are proposed.
Year
DOI
Venue
2015
10.1016/j.cnsns.2015.02.003
Communications in Nonlinear Science and Numerical Simulation
Keywords
DocType
Volume
Hopf bifurcation,Stability,Direction,Expectation,Delay,Business cycle
Journal
25
Issue
ISSN
Citations 
1
1007-5704
2
PageRank 
References 
Authors
0.60
3
4
Name
Order
Citations
PageRank
xiangdong liu120.60
wenli cai221.28
jiajun lu320.60
yangyang wang420.60