Destruction of Invariant Circles for Gevrey Area-Preserving Twist Map

Wang Lin

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Destruction of Invariant Circles for Gevrey Area-Preserving Twist Map

机译：Gevrey保留面积扭曲图的不变圆的破坏

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摘要

In this paper, we show that for exact area-preserving twist maps on annulus, the invariant circles with a given rotation number can be destroyed by arbitrarily small Gevrey- perturbations of the integrable generating function in the topology with , where alpha>1.

机译：在本文中，我们表明，对于环上精确保留区域的扭曲图，具有给定转数的不变圆可以通过拓扑中可积生成函数的任意小的Gevrey扰动来破坏，其中α> 1。

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来源
《Journal of dynamics and differential equations》 |2015年第2期|283-295|共13页
作者
Wang Lin;
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作者单位

Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China;

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原文格式 PDF
正文语种 eng
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关键词
Invariant circle; Minimal configuration; Peierls's barrier;

机译：不变圆;最小配置;Peierls势垒;

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专利

1. RATIONAL QUADRATIC-FLUX MINIMIZING CIRCLES FOR AREA-PRESERVING TWIST MAPS [J] . Dewar RL., Khorev AB. Physica, D. Nonlinear phenomena . 1995,第1a2期

机译：保留面积的有理二次方通量最小化圆
2. Birkhoff averages and rotational invariant circles for area-preserving maps [J] . Sander E., Meiss J. D. Physica, D. Nonlinear phenomena . 2020,第1期

机译：Birkhoff平均和旋转不变圈子用于区域保留地图
3. Dynamics of a family of piecewise-linear area-preserving plane maps II. Invariant circles [J] . Lagarias JC, Rains E Journal of difference equations and applications . 2005,第13期

机译：一类分段线性区域保持平面图的动力学II。不变圆
4. Quantification of Carotid Arteries Atherosclerosis using 3D Ultrasound Images and Area-Preserving Flattened Maps [C] . Bernard Chiu, Micaela Egger, J. David Spence, Physiology, Function, and Structure from Medical Images . 2008

机译：使用3D超声图像和保留平面的地图量化颈动脉粥样硬化
5. Geometry of the Julia set for some maps with invariant circles [D] . Roth, Kimberly Anne 2002

机译：带有不变圆的某些地图的Julia集的几何
6. Gevrey-smoothness of lower dimensional hyperbolic invariant tori for nearly integrable symplectic mappings [O] . Shunjun Jiang -1

机译：几乎可积辛映射的低维双曲不变托里的Gevrey光滑度
7. Destruction of invariant circles for Gevrey area-preserving twist maps [O] . Wang, Lin 2014

机译：破坏Gevrey区域保留扭曲图的不变圆

Destruction of Invariant Circles for Gevrey Area-Preserving Twist Map

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