Oriented Shadowing Property and -Stability for Vector Fields

Gan Shaobo; Li Ming; Tikhomirov Sergey B.

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Oriented Shadowing Property and -Stability for Vector Fields

机译：定向阴影属性和矢量场的稳定性

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摘要

We call that a vector field has the oriented shadowing property if for any there is such that each -pseudo orbit is -oriented shadowed by some real orbit. In this paper, we show that the -interior of the set of vector fields with the oriented shadowing property is contained in the set of vector fields with the Omega-stability.

机译：我们称向量场具有定向的遮蔽属性，如果存在的话，每个-伪轨道都被某个真实轨道遮蔽-。在本文中，我们证明了具有定向阴影特性的矢量场集合的-interior被包含在具有Omega稳定性的矢量场集合中。

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来源
《Journal of dynamics and differential equations》 |2016年第1期|225-237|共13页
作者
Gan Shaobo; Li Ming; Tikhomirov Sergey B.;
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作者单位

Peking Univ, LMAM, Beijing 100871, Peoples R China|Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China;

Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China|Nankai Univ, LPMC, Tianjin 300071, Peoples R China;

Max Planck Inst Math Sci, Inselstr 22, D-04103 Leipzig, Germany|St Petersburg State Univ, Chebyshev Lab, 14th Line Vasilievsky Isl,29B, St Petersburg 199178, Russia;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Vector fields; Oriented shadowing; Omega-stability;

机译：向量场;定向遮蔽;欧米茄稳定性;

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1. Vector fields with the oriented shadowing property [J] . Pilyugin S.Yu., Tikhomirov S.B. Journal of Differential Equations . 2010,第6期

机译：具有定向阴影属性的矢量场
2. An Example of a Vector Field with the Oriented Shadowing Property [J] . Tikhomirov Sergey Journal of Dynamical and Control Systems . 2015,第4期

机译：具有定向阴影属性的矢量场的示例
3. Orbital shadowing and stability for vector fields [J] . Journal of Differential Equations . 2020,第2期

机译：轨道阴影和矢量字段的稳定性
4. Shadowed hedgehogs: a technique for visualizing 2D slices of 3D vector fields [C] . Klassen, R.V., Harrington, . 1991

机译：阴影刺猬：一种可视化3D向量场的2D切片的技术
5. Vector fields during cosmic inflation: Stability analysis and phenomenological signatures. [D] . Himmetoglu, Burak. 2010

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6. Tensile Properties and Thermal Stability of Unidirectionally 111-Oriented Nanotwinned and 110-Oriented Microtwinned Copper [O] . Yu-Jin Li, King-Ning Tu, Chih Chen 2020

机译：111取向的纳米孪晶和110取向的微孪晶铜的拉伸性能和热稳定性
7. Oriented shadowing property and $\Omega$-stability for vector fields [O] . Gan, Shaobo, Li, Ming, Tikhomirov, Sergey B. 2014

机译：面向对象的阴影属性和向量字段的$ \ Omega $ -stability
8. There Is No Finite Classification for Homogeneous Quadratic Vector Fields on R Cubed, Moduli of Stability [R] . Vanstrien, S. J., Tavaresdossantos, G. 1985

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Oriented Shadowing Property and -Stability for Vector Fields

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