About analytic non integrability
动力系统
2007-05-23 v1
作者:
Jacky Cresson
摘要
We prove several general results on non existence of analytic first integrals for analytic diffeomorphisms possessing a hyperbolic fixed point.
引用
@article{arxiv.math/0509547,
title = {About analytic non integrability},
author = {Jacky Cresson},
journal= {arXiv preprint arXiv:math/0509547},
year = {2007}
}
备注
14 pages
相关论文
查看更多相关论文 →
动力系统 · 数学
On the nonexistence of fat partially hyperbolic horseshoes
José F. Alves, Vilton Pinheiro
2007-05-23
复变函数 · 数学
Reversible parabolic diffeomorphisms of $(\mathbb{C}^2,0)$ and exceptional hyperbolic CR-singularities
Martin Klimeš, Laurent Stolovitch
2022-04-21
solv-int · 物理学
On the algebraic non-integrability of the Halphen system
Andrzej J. ~Maciejewski, Jean-Marie Strelcyn
2016-09-08
微分几何 · 数学
A nonexistence result on harmonic diffeomorphisms between punctured spaces
Shi-Zhong Du, Xu-Qian Fan
2014-07-24
经典分析与常微分方程 · 数学
Analytic integrable systems: Analytic normalization and embedding flows
Zhang Xiang
2014-07-31
动力系统 · 数学
Some results on the integrability of the center bundle for partially hyperbolic diffeomorphisms
F. Rodriguez Hertz, MA. Rodriguez Hertz, R. Ures
2007-05-23
动力系统 · 数学
Finite Measures of Maximal Entropy for an Open Set of Partially Hyperbolic Diffeomorphisms
Juan Carlos Mongez, Maria Jose Pacifico
2024-05-09
动力系统 · 数学
The amount of nonhyperbolicity for partially hyperbolic diffeomorphisms
Lorenzo J. Díaz, Katrin Gelfert, Jinhua Zhang
2024-05-21
数论 · 数学
Remark on fundamental groups and effective Diophantine methods for hyperbolic curves
Minhyong Kim
2007-08-09
偏微分方程分析 · 数学
Global analytic expansion of solution for a class of linear parabolic systems with coupling of first order derivatives terms
Joerg Kampen
2009-07-17
动力系统 · 数学
Meromorphic first integrals of analytic diffeomorphisms
Antoni Ferragut, Armengol Gasull, Xiang Zhang
2020-12-07
动力系统 · 数学
A non-dynamically coherent example on ${\mathbb T}^3$
Federico Rodriguez Hertz, Jana Rodriguez Hertz, Raul Ures
2014-09-03
动力系统 · 数学
Robust existence of nonhyperbolic ergodic measures with positive entropy and full support
Christian Bonatti, Lorenzo J. Díaz, Dominik Kwietniak
2018-10-08
动力系统 · 数学
Nonuniform hyperbolicity for C^1-generic diffeomorphisms
Flavio Abdenur, Christian Bonatti, Sylvain Crovisier
2008-09-22
动力系统 · 数学
Hyperbolicity versus non-hyperbolic ergodic measures inside homoclinic classes
Cheng Cheng, Sylvain Crovisier, Shaobo Gan, Xiaodong Wang +1
2015-07-30
代数拓扑 · 数学
Nonexistence of cusp cross-section of one-cusped complete complex hyperbolic manifolds II
Yoshinobu Kamishima
2007-05-23
动力系统 · 数学
Obstructions to Integrability of Nearly Integrable Dynamical Systems near Regular Level Sets
Shoya Motonaga, Kazuyuki Yagasaki
2021-09-14
动力系统 · 数学
Symbolic extensions for partially hyperbolic diffeomorphisms
Lorenzo J. Diaz, Todd Fisher
2009-06-12
动力系统 · 数学
Ergodic measures with multi-zero Lyapunov exponents inside homoclinic classes
Xiaodong Wang, Jinhua Zhang
2024-05-22
动力系统 · 数学
Notes on any given number of non-hyperbolic physical measures of some partially hyperbolic diffeomorphism
Hangyue Zhang
2023-11-08
动力系统 · 数学
The failure of Ruelle's property for entire functions
Volker Mayer, Anna Zdunik
2021-01-06
微分几何 · 数学
Rotationally symmetric harmonic diffeomorphisms between surfaces
Li Chen, Shi-Zhong Du, Xu-Qian Fan
2013-05-17
动力系统 · 数学
New Criteria of Generic Hyperbolicity based on Periodic Points
Armando Castro
2012-06-13
动力系统 · 数学
A note on local integrability of differential systems
Xiang Zhang
2017-12-29
经典分析与常微分方程 · 数学
Regularity and convergence of local first integrals of analytic differential systems
Xiang Zhang
2020-11-19