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一个经济周期模型的稳定性及其近似解
  • ISSN号：1000-0984
  • 期刊名称：《数学的实践与认识》
  • 时间：0
  • 分类：O327[理学—一般力学与力学基础;理学—力学] F124[经济管理—世界经济]
  • 作者机构：[1]西安电子科技大学理学院数学系,陕西西安710071
  • 相关基金：国家自然科学基金（10472091;10332030;10502042）;陕西省自然科学基金（2003A03）
作者： 李伟[1], 徐伟[1], 赵俊锋[1]
关键词： 经济周期, 极限环, HOPF分岔, 多尺度, business cycle, limit cycle, hopf bifurcation, multiple scales
中文摘要：

以GDP为研究对象建立了一个新的经济周期模型．首先研究了经济周期模型在不动点处的稳定性以及分岔行为；解释了稳定极限环与经济周期之间的关系；然后利用多尺度摄动法得到了此模型的一阶近似解，分析了收入变量在一个经济周期中的波动过程．

英文摘要：

By taking the GDP as an object, this paper builds a new business cycle model. At first, the behaviors of stability and bifurcation at the fixed point of model are investigated, and the relationship between stable limits cycles and business cycle is explained. Then, the multiple scales method is used to obtain an approximated solution of model. With the approximated solution, the fluctuations of income in a whole business Cycle are analyzed.

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期刊信息
  • 《数学的实践与认识》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国科学院数学与系统科学研究院
  • 主编：林群
  • 地址：北京大学数学科学学院
  • 邮编：100871
  • 邮箱：bjmath@math.pku.edu.cn
  • 电话：010-62759981
  • 国际标准刊号：ISSN：1000-0984
  • 国内统一刊号：ISSN：11-2018/O1
  • 邮发代号:2-809
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:22973