This paper presents an investigation on the phenomenon of delayed bifurcation in time-delayed slow-fast differential systems.Here the two delayed's have different meanings.The delayed bifurcation means that the bi...This paper presents an investigation on the phenomenon of delayed bifurcation in time-delayed slow-fast differential systems.Here the two delayed's have different meanings.The delayed bifurcation means that the bifurcation does not happen immediately at the bifurcation point as the bifurcation parameter passes through some bifurcation point,but at some other point which is above the bifurcation point by an obvious distance.In a time-delayed system,the evolution of the system depends not only on the present state but also on past states.In this paper,the time-delayed slow-fast system is firstly simplified to a slow-fast system without time delay by means of the center manifold reduction,and then the so-called entry-exit function is defined to characterize the delayed bifurcation on the basis of Neishtadt's theory.It shows that delayed Hopf bifurcation exists in time-delayed slow-fast systems,and the theoretical prediction on the exit-point is in good agreement with the numerical calculation,as illustrated in the two illustrative examples.展开更多
本文使用企业层面的面板数据,研究了影响民营企业运营和进入-退出的各种成本因素。在一般均衡的框架下,我们用模拟矩方法 (Simulated Method of Moments)估计了企业动态模型的参数。我们的政策试验表明,减税、降低运营成本或者降低进入...本文使用企业层面的面板数据,研究了影响民营企业运营和进入-退出的各种成本因素。在一般均衡的框架下,我们用模拟矩方法 (Simulated Method of Moments)估计了企业动态模型的参数。我们的政策试验表明,减税、降低运营成本或者降低进入成本的单一措施尽管能够带来人均产出的提高,但是会造成就业率的下降;如果这些措施与降低企业的融资成本相结合,只要融资成本能够下降10%,就业、人均产出、劳动力在企业之间的配置效率均可以得到显著提高。展开更多
基金supported by the Foundation for the Author of National Excellent Doctoral Dissertation of China (Grant No.200430)in part by the National Natural Science Foundation of China (Grant Nos.10825207,10532050)
文摘This paper presents an investigation on the phenomenon of delayed bifurcation in time-delayed slow-fast differential systems.Here the two delayed's have different meanings.The delayed bifurcation means that the bifurcation does not happen immediately at the bifurcation point as the bifurcation parameter passes through some bifurcation point,but at some other point which is above the bifurcation point by an obvious distance.In a time-delayed system,the evolution of the system depends not only on the present state but also on past states.In this paper,the time-delayed slow-fast system is firstly simplified to a slow-fast system without time delay by means of the center manifold reduction,and then the so-called entry-exit function is defined to characterize the delayed bifurcation on the basis of Neishtadt's theory.It shows that delayed Hopf bifurcation exists in time-delayed slow-fast systems,and the theoretical prediction on the exit-point is in good agreement with the numerical calculation,as illustrated in the two illustrative examples.
文摘本文使用企业层面的面板数据,研究了影响民营企业运营和进入-退出的各种成本因素。在一般均衡的框架下,我们用模拟矩方法 (Simulated Method of Moments)估计了企业动态模型的参数。我们的政策试验表明,减税、降低运营成本或者降低进入成本的单一措施尽管能够带来人均产出的提高,但是会造成就业率的下降;如果这些措施与降低企业的融资成本相结合,只要融资成本能够下降10%,就业、人均产出、劳动力在企业之间的配置效率均可以得到显著提高。
