SOME PANSYSTEMS STUDIES ON PANCHAOS AND STRANGE PANATTRACTOR

Applied Mathematics and Mechanics (English Edition) ›› 1987, Vol. 8 ›› Issue (8): 793-796.

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SOME PANSYSTEMS STUDIES ON PANCHAOS AND STRANGE PANATTRACTOR

朱遂才

Wuhan Digital Engineering Institute, Wuhan

收稿日期:1986-07-05 出版日期:1987-08-18 发布日期:1987-08-18

SOME PANSYSTEMS STUDIES ON PANCHAOS AND STRANGE PANATTRACTOR

Zhu Sui-cai

Wuhan Digital Engineering Institute, Wuhan

Received:1986-07-05 Online:1987-08-18 Published:1987-08-18

摘要/Abstract

摘要： Paper [1] discussed the relations among panchaos and strange panattractor and pansystems operators. Paper [2] gave the applications of the fixed-point pansystems theorems to these typical nonlinear problems. In this paper, we firstly present several concepts: increasing relation, maximal panchaos, etc., and discuss the relations among them. We also discuss the problems when two increasing relations have the same panchaos and when panchaos of g is panchaos of g^t as well.

关键词: stochastic stability, FitzHugh-Nagumo systems, invariant measures, Gaussian white noise

Abstract: Paper [1] discussed the relations among panchaos and strange panattractor and pansystems operators. Paper [2] gave the applications of the fixed-point pansystems theorems to these typical nonlinear problems. In this paper, we firstly present several concepts: increasing relation, maximal panchaos, etc., and discuss the relations among them. We also discuss the problems when two increasing relations have the same panchaos and when panchaos of g is panchaos of g^t as well.

Key words: stochastic stability, FitzHugh-Nagumo systems, invariant measures, Gaussian white noise

朱遂才. SOME PANSYSTEMS STUDIES ON PANCHAOS AND STRANGE PANATTRACTOR[J]. Applied Mathematics and Mechanics (English Edition), 1987, 8(8): 793-796.

Zhu Sui-cai . SOME PANSYSTEMS STUDIES ON PANCHAOS AND STRANGE PANATTRACTOR[J]. Applied Mathematics and Mechanics (English Edition), 1987, 8(8): 793-796.

[1]	郑言黄建华. Stochastic stability of FitzHugh-Nagumo systems perturbed by Gaussian white noise[J]. Applied Mathematics and Mechanics (English Edition), 2011, 32(1): 11-22.
[2]	孙继涛王庆国高含俏. Delay-dependent robust stability and H∞ analysis of stochastic systems with time-varying delay[J]. Applied Mathematics and Mechanics (English Edition), 2010, 31(2): 255-262.
[3]	李映辉;高庆. NONLINEAR RANDOM STABILITY OF VISCOELASTIC CABLE WITH SMALL CURVATURE[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(8): 970-978.

SOME PANSYSTEMS STUDIES ON PANCHAOS AND STRANGE PANATTRACTOR

SOME PANSYSTEMS STUDIES ON PANCHAOS AND STRANGE PANATTRACTOR

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