Complexity dynamics and Hopf bifurcation analysis based on the first Lyapunov coefficient about 3D IS-LM macroeconomics system
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- 作者：Junhai Ma mjhtju@126.com" class="auth_mail" title="E-mail the corresponding author ; Wenbo Ren ; rw120912@126.com" class="auth_mail" title="E-mail the corresponding author ; Xueli Zhan
- 关键词：IS-LM macroeconomics ; Hopf bifurcation ; Limit cycle ; Lyapunov coefficient ; Complex dynamics
- 刊名：Communications in Nonlinear Science and Numerical Simulation
- 出版年：2017
- 出版时间：April 2017
- 年：2017
- 卷：45
- 期：Complete
- 页码：129-139
- 全文大小：1872 K
文摘
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This paper improved the traditional IS-LM macro-economic model.
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This paper focused on the Hopf bifurcation, studied the parameter conditions and complex dynamic characteristics.
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Introduced the first Lyapunov coefficient to study the stability of the limit cycle, i.e. the stability of business cycle.
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The limit cycle remain stable state in most range of parameters; and gradually unstable with the increase of parameters, i.e. the IS-LM system gradually no longer convergence in business cycle.