COEXISTENCE OF PERIOD 2 AND 3 CAUSTICS FOR DEFORMATIVE NEARLY CIRCULAR BILLIARD MAPS

Zhang Jianlu

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COEXISTENCE OF PERIOD 2 AND 3 CAUSTICS FOR DEFORMATIVE NEARLY CIRCULAR BILLIARD MAPS

机译：变形的近圆形台球图的周期2和3的因果关系的共存

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摘要

For Z(2)-symmetric analytic deformation of the circle (with certain Fourier decaying rate), the necessary condition for the corresponding billiard map to keep the coexistence of period 2, 3 caustics is that the deformation has to be an isometric transformation.

机译：对于圆的Z（2）对称解析变形（具有一定的傅立叶衰减率），相应的台球图保持周期2、3苛性碱并存的必要条件是，变形必须是等距变换。

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来源
《Discrete and continuous dynamical systems》 |2019年第11期|6419-6440|共22页
作者
Zhang Jianlu;
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作者单位

Chinese Acad Sci Acad Math & Syst Sci Hua Loo Keng Key Lab Math Beijing 100190 Peoples R China|Chinese Acad Sci Acad Math & Syst Sci Math Inst Beijing 100190 Peoples R China;

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正文语种 eng
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关键词
Convex billiard map; caustic; trigonometric polynomial; analytic function; nearly circular deformation; generating function;

机译：凸台球图;苛性三角多项式分析函数近似圆形的变形;产生功能;

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1. Two-particle circular billiards versus randomly perturbed one-particle circular billiards [J] . Rankovi? S., Porter M.A. Chaos . 2013,第1期

机译：两粒子圆形台球与随机扰动的一粒子圆形台球
2. Two-particle circular billiards versus randomly perturbed one-particle circular billiards [J] . Rankovi? S., Porter M.A. Chaos . 2013,第1期

机译：两粒子圆形台球与随机扰动的一粒子圆形台球
3. Break-up of resonant invariant curves in billiards and dual billiards associated to perturbed circular tables [J] . Ramirez-Ros R Physica, D. Nonlinear phenomena . 2006,第1期

机译：台球和双台球与扰动的圆桌有关的共振不变曲线的分解
4. Quantum states built on classical nonlinear resonances for slowly deforming billiards [C] . Nandan Jha, Sudhir R. Jain Conference on Nuclei and Mesoscopic Physics . 2014

机译：在古典非线性共振构建的量子状态，用于缓慢变形台球
5. Dissipation in deforming chaotic billiards. [D] . Barnett, Alexander Harvey. 2000

机译：消散变形的台球。
6. Circular permutation of DNA cytosine-N4 methyltransferases: in vivo coexistence in the BcnI system and in vitro probing by hybrid formation [O] . Giedrius Vilkaitis, Arvydas Lubys, EglÇ MerkienÇ, 2002

机译：DNA胞嘧啶-N4甲基转移酶的循环置换：BcnI系统中的体内共存和杂交形成的体外探测
7. Two-Particle Circular Billiards Versus Randomly Perturbed One-Particle Circular Billiards [O] . Ranković, Sandra, Porter, Mason A. 2013

机译：双粒子圆形台球与随机扰动的单粒子圆形台球

COEXISTENCE OF PERIOD 2 AND 3 CAUSTICS FOR DEFORMATIVE NEARLY CIRCULAR BILLIARD MAPS

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