Growth rates of orbits in non-periodic twist maps and a theorem by Neishtadt

被引:9
作者
Kunze, Markus
Ortega, Rafael
机构
[1] Chang Gung Univ, Dept Microbiol & Immunol, Taoyuan 33305, Taiwan
[2] Chang Gung Univ, Grad Inst Biomed Sci, Taoyuan 33305, Taiwan
[3] Chang Gung Univ, Mol Med Res Ctr, Taoyuan 33305, Taiwan
[4] Chang Gung Univ, Chang Gung Mem Hosp, Div Hematol Oncol, Dept Internal Med, Taoyuan 33305, Taiwan
[5] Chang Gung Univ, Chang Gung Mem Hosp, Dept Med Imaging & Intervent, Taoyuan 33305, Taiwan
[6] Chang Gung Univ, Chang Gung Mem Hosp, Div Thorac & Cardiovasc Surg, Dept Surg, Taoyuan 33305, Taiwan
[7] Chang Gung Univ, Chang Gung Mem Hosp, Dept Gen Surg, Liver Res Ctr, Taoyuan 33305, Taiwan
[8] Chang Gung Univ, Chang Gung Mem Hosp, Dept Pathol, Taoyuan 33305, Taiwan
[9] Chang Gung Mem Hosp, Genom Med Core Lab, Taoyuan 33305, Taiwan
[10] Chang Gung Univ, Chang Gung Mem Hosp, Dept Otolaryngol Head & Neck Surg, Taoyuan 33305, Taiwan
[11] Chang Gung Univ, Chang Gung Mem Hosp, Dept Radiat, Taoyuan 33305, Taiwan
[12] Chang Gung Univ, Sch Med, Taoyuan 33305, Taiwan
来源
NONLINEARITY | 2021年 / 13卷 / 12期
关键词
non-periodic twist map; Hamiltonian normal form; orbit growth; exponential averaging; STABILITY; MAPPINGS;
D O I
10.3390/cancers13122954
中图分类号
R73 [肿瘤学];
学科分类号
100214 ;
摘要
We consider non-periodic holomorphic twist maps of the form theta(1) = theta+1/r alpha(gamma+F-1(theta,r)),r(1)=r+r(1-alpha)F(2)(theta,r), alpha is an element of ]0, 1[ and gamma is an element of R\0 F (1), F (2) and a primitive h r (1) d theta (1) - r d theta it is shown that r(n) = O((log n)(1/alpha)) = grade 3) was correlated with poor survival in metastatic patients (p = 0.008). Conclusions: Our results provide encouraging preliminary data related to the combination treatment of EGFRi and palbociclib in patients with NPC.
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页数:18
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