Some new hopf bifurcation theorems at simple eigenvalues

Abstract

ome new Hopf bifurcation theorems at simple eigenvalues for dynamic systems x= f ([xdot]f(x,&mgr)are shown. The parameter families of nontrivial eriodic solutions in the neighborhood o?bifurcation oints are describs The obtained results are applied to the analysis oFbifurcation points of periodic solutions of the dynamic Demand-Supply model in Economics.

Keywords:

• Hopf Biurcation
• simple eigenvalue
• nontrival periodic soultion
• dynamic systems
• dynamic demand-supply model

Additional information

Notes on contributors

N. X. Tan