Stability and bifurcation analysis in a kind of business cycle model with delay
作者： Chunrui Zhang , Junjie Wei
DOI: 10.1016/J.CHAOS.2004.03.013
关键词: Heteroclinic bifurcation 、 Hopf bifurcation 、 Pitchfork bifurcation 、 Biological applications of bifurcation theory 、 Transcritical bifurcation 、 Saddle-node bifurcation 、 Center manifold 、 Mathematical analysis 、 Mathematics 、 Bifurcation diagram
摘要: Abstract A kind of business cycle model with delay is considered. Firstly, the linear stability studied and bifurcation set drawn in appropriate parameter plane. It found that there exist Hopf bifurcations when passes a sequence critical values. Then explicit algorithm for determining direction bifurcating periodic solutions are derived, using normal form method center manifold theorem. Finally, group conditions to guarantee global existence given, numerical simulations performed illustrate analytical results found.
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