Dynamical Systems

Authors and titles for June 2023

[1] arXiv:2306.00116 (cross-list from math.DS) [cn-pdf, pdf, other]

Title: Fractal analysis of hyperbolic saddles with applications Show Chinese title

Title: 双曲鞍点的分形分析及其应用

Vlatko Crnković, Renato Huzak, Maja Resman

Comments: 16 pages, 2 figures

Subjects: Dynamical Systems (math.DS)

[2] arXiv:2306.00278 (cross-list from math.DS) [cn-pdf, pdf, other]

Title: Vector-valued maximal inequalities and multi-parameter oscillation inequalities for the polynomial ergodic averages along multi-dimensional subsets of primes Show Chinese title

Title: 向量值极大不等式和多项式遍历平均沿多维素数子集的多参数摆动不等式

Nathan Mehlhop

Comments: 20 pages. arXiv admin note: substantial text overlap with arXiv:2212.09874

Subjects: Dynamical Systems (math.DS)

[3] arXiv:2306.00484 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Discontinuities cause essential spectrum on surfaces Show Chinese title

Title: 不连续性在表面上引起本质谱

Oliver Butterley, Giovanni Canestrari, Roberto Castorrini

Comments: Version v2 is the electronic copy of the version to appear in AHPO

Journal-ref: Ann. Henri Poincar\'e (2024)

Subjects: Dynamical Systems (math.DS)

[4] arXiv:2306.00509 (cross-list from math.DS) [cn-pdf, pdf, other]

Title: A categorical view on the converse Lyapunov theorem Show Chinese title

Title: 范畴论视角下的逆Lyapunov定理

Sébastien Maurice Mattenet, Raphael Jungers

Comments: 11 pages Submitted to Cahiers de topologie et g\'eom\'etrie diff\'erentielle

Subjects: Dynamical Systems (math.DS) ; Category Theory (math.CT)

[5] arXiv:2306.00515 (cross-list from math.DS) [cn-pdf, pdf, other]

Title: Fast dimension spectrum for a potential with a logarithmic singularity Show Chinese title

Title: 快速维度谱对于具有对数奇点的势能

Philipp Gohlke, Georgios Lamprinakis, Jörg Schmeling

Comments: 26 pages, 1 figure

Subjects: Dynamical Systems (math.DS)

[6] arXiv:2306.00524 (cross-list from math.DS) [cn-pdf, pdf, other]

Title: Stable/unstable holonomies, density of periodic points, and transitivity for continuum-wise hyperbolic homeomorphisms Show Chinese title

Title: 连续统双曲同胚的稳定/不稳定遍历、周期点密度和传递性

Bernardo Carvalho, Elias Rego

Comments: 27 pages, 9 figures

Journal-ref: Nonlinearity 37 (2024) 095004

Subjects: Dynamical Systems (math.DS)

[7] arXiv:2306.00725 (cross-list from math.DS) [cn-pdf, pdf, other]

Title: An in-reachability based classification of invariant synchrony patterns in weighted coupled cell networks Show Chinese title

Title: 加权耦合细胞网络中基于内可达性的不变同步模式分类

Pedro M Sequeira, João P Hespanha, António P Aguiar

Comments: 52 pages, 20 figures, 3 tables

Subjects: Dynamical Systems (math.DS)

[8] arXiv:2306.00729 (cross-list from math.DS) [cn-pdf, pdf, other]

Title: Generalized Iterated Function System and Common Attractors of Generalized Hutchinson Operators in Dislocated Metric Spaces Show Chinese title

Title: 广义迭代函数系统与位离度量空间中广义Hutchinson算子的公共吸引子

Talat Nazir, Sergei Silvestrov

Subjects: Dynamical Systems (math.DS)

[9] arXiv:2306.00731 (cross-list from math.DS) [cn-pdf, pdf, other]

Title: Navigating Phase Space Transport with the Origin-Fate Map Show Chinese title

Title: 利用起源-命运图导航相空间输运

Malcolm Hillebrand, Matthaios Katsanikas, Stephen Wiggins, Charalampos Skokos

Comments: 11 pages, 10 figures

Subjects: Dynamical Systems (math.DS) ; Chaotic Dynamics (nlin.CD)

[10] arXiv:2306.00875 (cross-list from math.DS) [cn-pdf, pdf, other]

Title: Complex Arnol'd-Liouville maps Show Chinese title

Title: 复 Arnol'd-Liouville 映射

Luca Biasco, Luigi Chierchia

Comments: 33 pages

Subjects: Dynamical Systems (math.DS)

[11] arXiv:2306.01275 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Polynomial Fourier decay and a cocycle version of Dolgopyat's method for self conformal measures Show Chinese title

Title: 多项式傅里叶衰减和自共形测度的Dolgopyat方法的上同调版本

Amir Algom, Federico Rodriguez Hertz, Zhiren Wang

Comments: V2: Minor changes to the statement and proof of Claims 2.1 and 2.2, and to the proof of Theorem 2.4 Part (5). Some other small modifications. Updated references and acknowledgements. Main results unchanged

Subjects: Dynamical Systems (math.DS) ; Classical Analysis and ODEs (math.CA)

[12] arXiv:2306.01389 (cross-list from math.DS) [cn-pdf, pdf, other]

Title: Spectral gaps and Fourier dimension for self-conformal sets with overlaps Show Chinese title

Title: 谱间隙和重叠自共形集的傅里叶维数

Simon Baker, Tuomas Sahlsten

Comments: 45 pages, 1 figure

Subjects: Dynamical Systems (math.DS) ; Classical Analysis and ODEs (math.CA) ; Spectral Theory (math.SP)

[13] arXiv:2306.01448 (cross-list from math.DS) [cn-pdf, pdf, other]

Title: Deterministic Approximation of a Stochastic Imitation Dynamics with Memory Show Chinese title

Title: 确定性近似带有记忆的随机模仿动态

Ozgur Aydogmus, Yun Kang

Comments: 23 pages, 2 figures one of which includes 4 subfigures

Subjects: Dynamical Systems (math.DS) ; Probability (math.PR)

[14] arXiv:2306.01628 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Closest Distance between Iterates of Typical Points Show Chinese title

Title: 典型点的迭代之间的最近距离

Boyuan Zhao

Comments: After discussion, it was decided that it is more appropriate for this to be a solo-author paper

Subjects: Dynamical Systems (math.DS)

[15] arXiv:2306.02173 (cross-list from math.DS) [cn-pdf, pdf, other]

Title: Time-reversible dynamics in a system of two coupled active rotators Show Chinese title

Title: 系统中两个耦合活性旋转子的时间可逆动力学

Oleksandr Burylko, Matthias Wolfrum, Serhiy Yanchuk, Jürgen Kurths

Comments: 29 pages, 14 figures

Subjects: Dynamical Systems (math.DS) ; Classical Analysis and ODEs (math.CA) ; Adaptation and Self-Organizing Systems (nlin.AO)

[16] arXiv:2306.02297 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Counting Pollicott--Ruelle resonances for Axiom A flows Show Chinese title

Title: Axiom A流的Pollicott--Ruelle共振计数

Long Jin, Zhongkai Tao

Comments: 47 pages. Improve the lower bound from the previous version

Subjects: Dynamical Systems (math.DS) ; Spectral Theory (math.SP)

[17] arXiv:2306.02300 (cross-list from math.DS) [cn-pdf, pdf, other]

Title: How neural networks learn to classify chaotic time series Show Chinese title

Title: 如何神经网络学习对混沌时间序列进行分类

Alessandro Corbetta, Thomas Geert de Jong

Journal-ref: Chaos. 33, 123101, 2023

Subjects: Dynamical Systems (math.DS) ; Machine Learning (cs.LG)

[18] arXiv:2306.02310 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Linear response for intermittent maps with critical point Show Chinese title

Title: 间歇映射在临界点处的线性响应

Juho Leppänen

Comments: 34 pages, v.3: Incorporated referee suggestions and comments, to appear in Nonlinearity

Subjects: Dynamical Systems (math.DS)

[19] arXiv:2306.02340 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Solving the cohomological equation for locally hamiltonian flows, part II -- global obstructions Show Chinese title

Title: 求解局部哈密顿流的上同调方程，第二部分——全局障碍

Krzysztof Frączek, Minsung Kim

Comments: The paper is closely related to the recent preprint: arXiv:2112.05939, arXiv:2112.13030 and arXiv:2305.16884

Subjects: Dynamical Systems (math.DS) ; Classical Analysis and ODEs (math.CA)

[20] arXiv:2306.02627 (cross-list from math.DS) [cn-pdf, pdf, other]

Title: On hyperbolic dimension gap for entire functions Show Chinese title

Title: 关于整函数的双曲维数间隙

Volker Mayer, Mariusz Urbański

Comments: 15 pages

Subjects: Dynamical Systems (math.DS) ; Complex Variables (math.CV)

[21] arXiv:2306.03047 (cross-list from math.DS) [cn-pdf, pdf, other]

Title: A formula for the upper box-counting dimension of self-projective sets Show Chinese title

Title: 自投影集的上箱计数维数公式

Benedict Sewell

Comments: 26 pages, 9 figures

Subjects: Dynamical Systems (math.DS)

[22] arXiv:2306.03106 (cross-list from math.DS) [cn-pdf, pdf, other]

Title: Presentation of Jean-Marie Souriau's book ''Structure des systèmes dynamiques'' Show Chinese title

Title: 让-玛丽·苏里于《动力系统结构》一书的呈现

Géry de Saxcé, Charles-Michel Marle

Comments: 19 pages

Subjects: Dynamical Systems (math.DS) ; Mathematical Physics (math-ph)

[23] arXiv:2306.03243 (cross-list from math.DS) [cn-pdf, pdf, other]

Title: Equilibration of Coordinating Imitation and Best-Response Dynamics Show Chinese title

Title: 协调模仿与最佳响应动力学的平衡

Nazanin Hasheminejad, Pouria Ramazi

Journal-ref: IEEE Control Systems Letters, vol. 7, pp. 3078-3083, 2023

Subjects: Dynamical Systems (math.DS) ; Optimization and Control (math.OC) ; Physics and Society (physics.soc-ph)

[24] arXiv:2306.03320 (cross-list from math.DS) [cn-pdf, pdf, other]

Title: A parametrisation method for high-order phase reduction in coupled oscillator networks Show Chinese title

Title: 耦合振荡器网络中高阶相位约化的参数化方法

Sören von der Gracht, Eddie Nijholt, Bob Rink

Comments: 29 pages, 3 figures

Subjects: Dynamical Systems (math.DS)

[25] arXiv:2306.03456 (cross-list from math.DS) [cn-pdf, pdf, other]

Title: Description of trajectories of an evolution operator generated by mosquito population Show Chinese title

Title: 生成蚊子种群的演化算子的轨迹描述

Z.S. Boxonov

Comments: 10 pages

Subjects: Dynamical Systems (math.DS)