期刊文献+

投资过程中具有时滞的一类动态宏观经济模型(英文) 被引量:3

A Dynamic Macroeconomic Model with Time Lag in Investment Processes
在线阅读 下载PDF
导出
摘要 根据Klecki思想,对投资过程中具有常数时滞的一类动态宏观经济模型进行了讨论.通过选择时滞作为Hopf分歧参数,当时滞经过临界值时周期行为产生.并用数值例子解释了理论结果. This paper discussed the dynamic macroeconomic model with constant time delay in investment processes according to Kalecki's idea.By choosing time delay as the Hopf bifurcation parameter,it is found that a periodic behavior occurs when time delay takes certain critical values.Numerical simulations were then provided to verify the theoretical results.
作者 周路军
出处 《经济数学》 北大核心 2010年第2期13-16,共4页 Journal of Quantitative Economics
基金 湖南省科技厅计划资助项目(2009ZK3110)
关键词 离散时滞 HOPF分歧 宏观经济模型 商业周期 discrete time delay Hopf bifurcation macroeconomic model business cycle.
  • 相关文献

参考文献7

  • 1TURNOVSHY S J.Methods of macroeconomic dynamics[M].Boston:MIT Press,1996.
  • 2KALECKI M.A macrodynamic theory of business cycles[J].Econometrica,1935,(3):327-44.
  • 3BERETTA E,KUANG Y.Geometric stability switch criteria in delay differential systems with delay dependent parameters[J].SIAM J Math Anal,2002,(33):1144-65.
  • 4SHMPINE L F,THOMPSON S.Solving DDEs in MATLAB[J].Appl.Numer.Math,2001,(37):441-458.
  • 5ASADA T,YOSHIDA H.Stability,instability and complex behavior in macrodynamic models with policy[J].Discre Dynam Nature Soc,2001,(5):281-295.
  • 6CAI J.Hopf bifurcation in the IS-LM business cycle model with time delay[J].E Jour Diff Equ,2005,(2005):1-6.
  • 7SZYDLOWSKI M A,KRAWIEC A.The kaldor-kalecki model of business cycle as a two-dimensional dynamical system[J].Journal of Nonlinear Mathematical Physics,2001,(8) (Sup):266-271.

同被引文献17

  • 1刘磊.一种平抑物价的数学模型及其定性分析[J].湖北工业大学学报,2007,22(2):57-58. 被引量:3
  • 2HASSARD B D, KAZARINOFF N D, WAN Y H. Theory and applications of Hopf bifurcation[M]. Cambridge: CambridgeUniversity Press,1981 : 139-144.
  • 3LIAO XIAOFENG. Hopf and resonant codimension two bifurcation in van der Plo equation with two time delays[J], Chaos,Solitons and Fractals,2005 ,23 : 857-871.
  • 4Shi-gui RUAN,Jun-jie WEI. On the zeros of transcendentalfunctions with applications to stability of delay differentialequationswith two delays [J]. Dynamics of Continuous, Dis-crete and Impulsive Systems Series A: Mathematical Analysis,2003,10(6): 863 - 874.
  • 5B D HASSARD, N D KAZARINOFF, Y H WAN. Theoryand applications of Hopf bifurcation[M]. Cambridge: Camjbridge university press,1981.
  • 6Hang Lei-ming,Tu Mei-zeng. The Impacts of Energy Prices on Energy Intensity:Evidence from China [J]. Energy Poli- cy, 2007,35(5) : 2978-2988.
  • 7ChoYoungsang,Lee Jong su,Kim Taiyoo. The impact of ICT Investment and Energy Price on Industrial Electr Icity De- mand : Dynamic Growth Model Approach [J]. Energy Policy, 2007,35(9) : 4730-4738.
  • 8田立新,钱和平.时滞影响下区域能源供需模型及动力学分析[J].江苏大学学报(自然科学版),2008,29(5):453-456. 被引量:15
  • 9吕堂红,刘振文.具时滞物价瑞利方程的Hopf分支[J].吉林大学学报(理学版),2009,47(3):441-448. 被引量:11
  • 10吕堂红,周林华.具时滞物价瑞利方程的大范围周期解[J].长春理工大学学报(自然科学版),2009,32(3):515-517. 被引量:2

引证文献3

二级引证文献6

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部