Applied Mathematics and Mechanics (English Edition) ›› 1987, Vol. 8 ›› Issue (4): 339-344.

• 论文 • 上一篇    下一篇

AN APPROACH ON FIXED PANSYSTEMS THEOREMS: PANCHAOS AND STRANGE PANATTRACTOR

朱绪鼎, 吴学谋   

  1. Wuhan Digital Engineering Institute, Wuhan
  • 收稿日期:1985-11-29 出版日期:1987-04-18 发布日期:1987-04-18

AN APPROACH ON FIXED PANSYSTEMS THEOREMS: PANCHAOS AND STRANGE PANATTRACTOR

Zhu Xu-ding, Wu Xue-mou   

  1. Wuhan Digital Engineering Institute, Wuhan
  • Received:1985-11-29 Online:1987-04-18 Published:1987-04-18

摘要: The investigations about chaos, at tractor and strange at tractor are main subjects in non-linear analysis. Under the framework of pansystems methodology, reference [1] discussed these problems and introduced the concepts of panchaos, panattractor and strange panattractor. These concepts omit ted the condition of continuity, compactness, etc. and put stress on the properties of binary relations on a set. A certain obtained result indicates that panchaos, panattractor and strange panattractor correspond respectively to fixed subsets of certain pansys tems operators. This paper continues the investigation of [1,2], discusses the existence of these pansystems fixed subsets, their construction and interrelations.

关键词: generalized variational inequalities, stress compatibility, existence, uniqueness

Abstract: The investigations about chaos, at tractor and strange at tractor are main subjects in non-linear analysis. Under the framework of pansystems methodology, reference [1] discussed these problems and introduced the concepts of panchaos, panattractor and strange panattractor. These concepts omit ted the condition of continuity, compactness, etc. and put stress on the properties of binary relations on a set. A certain obtained result indicates that panchaos, panattractor and strange panattractor correspond respectively to fixed subsets of certain pansys tems operators. This paper continues the investigation of [1,2], discusses the existence of these pansystems fixed subsets, their construction and interrelations.

Key words: generalized variational inequalities, stress compatibility, existence, uniqueness

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals