Hopf bifurcation and complexity of a kind of economic systems

This paper studies Hopf bifurcation of a kind of complex economic systems with rich elasticity. The conditions for the presence of bifurcation, the stability of periodic orbit before the emergence of Hopf bifurcation and the critical parameter value of the system are obtained. According to Taken's estimation, the evolvement situation of the complex system is also given. Numerical examples are given to verify the validity of the present theory. The obtained result is of theoretical importance and has practical applications to exploring the inherence mechanism of the complicated continuous economic systems and establishing a reasonable macro control policy.