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一类非光滑映射的边界碰撞分岔

秦志英 李群宏

秦志英, 李群宏. 一类非光滑映射的边界碰撞分岔[J]. 力学学报, 2013, 45(1): 25-29. doi: 10.6052/0459-1879-12-317
引用本文: 秦志英, 李群宏. 一类非光滑映射的边界碰撞分岔[J]. 力学学报, 2013, 45(1): 25-29. doi: 10.6052/0459-1879-12-317
Qin Zhiying, Li Qunhong. BORDER-COLLISION BIFURCATION IN A KIND OF NON-SMOOTH MAPS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(1): 25-29. doi: 10.6052/0459-1879-12-317
Citation: Qin Zhiying, Li Qunhong. BORDER-COLLISION BIFURCATION IN A KIND OF NON-SMOOTH MAPS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(1): 25-29. doi: 10.6052/0459-1879-12-317

一类非光滑映射的边界碰撞分岔

doi: 10.6052/0459-1879-12-317
基金项目: 国家自然科学基金(11002046, 10972059) 和河北省自然科学基金(A2011208007) 资助项目.
详细信息
    通讯作者:

    秦志英

  • 中图分类号: O317;O193

BORDER-COLLISION BIFURCATION IN A KIND OF NON-SMOOTH MAPS

Funds: The project was supported by the National Natural Science Foundation of China (11002046, 10972059) and Hebei Province Natural Science Foundation (A2011208007).
  • 摘要: 对于一类分段映射讨论了非线性幂次z导致的不同非光滑性, 推导了周期n 解的边界碰撞分岔及光滑flip和fold 分岔条件. 通过数值仿真验证了这些分岔条件的正确性, 发现存在稳定周期窗的加周期分岔序列是非光滑映射的一个普遍现象, 根本原因在于边界碰撞分岔和光滑flip 或fold 分岔相互作用. 当z取值不同分岔序列有很大的不同, 而参数γ 对于分岔序列的结构影响不大, 因此令参数γ=0 可简化映射的参数分析.

     

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  • 被引次数: 0
出版历程
  • 收稿日期:  2012-11-09
  • 修回日期:  2012-12-14
  • 刊出日期:  2013-01-18

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