Fixed pansystems theorems and pansystems logic conservation of chaos
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Abstract
The study of nonlinear problems was developed in works[1,2]by means of the pansystems methodology (PM) which does not need the condition related to differential manifolds and linear space. In work [2], within the framework of PM, we proved that study of panchaos, panattractor and strange panattractor can be transformed conditionally into some forms of fixed subsets. As a continuation of work [2], we now research the pansystems logic conservation of panchaos, panattractor, strange panattractor and some other fixed subsets.
Keywords
Mathematical Modeling Manifold Industrial Mathematic Linear Space Nonlinear Problem
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References
- [1]Wu Xue-mou, Pansystems methodology and nonlinear analysis: new study of bifurcation, catastrophe, chaos and stability,Proceedings of the 1985 International Conference on Nonlinear Mechanics.Google Scholar
- [2]Qin Guo-guang, Some new study of fixed pansystems theorem and chaos,Science Exploration, Special Issue on Pansystems Methodology. (in Chinese)Google Scholar
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© SUT 1987