The average-shadowing property and transitivity for continuous flows

Gu RB; Sheng YQ; Xia ZJ

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The average-shadowing property and transitivity for continuous flows

机译：连续流的平均阴影性质和传递性

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We prove that a continuous flow with the average-shadowing property is chain transitive and a Lyapunov stable continuous flow with the average-shadowing property is a minimal flow. (C) 2004 Elsevier Ltd. All rights reserved.

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《Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science》 |2005年第3期|共7页
作者
Gu RB; Sheng YQ; Xia ZJ;
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正文语种 eng
中图分类微分方程、积分方程;
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DYNAMICAL-SYSTEMS;

机译：动态系统;

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1. The average-shadowing property and transitivity for continuous flows [J] . Gu RB, Sheng YQ, Xia ZJ Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 2005,第3期

机译：连续流的平均阴影性质和传递性
2. The average-shadowing property and topological ergodicity for flows [J] . Gu RB, Guo WJ Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 2005,第2期

机译：流的平均阴影性质和拓扑遍历性
3. On the periodic orbits, shadowing and strong transitivity of continuous flows [J] . Bessa Mario, Torres Maria Joana, Varandas Paulo Nonlinear Analysis: An International Multidisciplinary Journal . 2018,第期

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4. On Some Properties of the Negative Transitivity Obtained from Transitivity [C] . Susana Díaz, Susana Montes, Bernard De Baets International Conference on Modeling Decisions for Artificial Intelligence . 2012

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The average-shadowing property and transitivity for continuous flows

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