Dynamical Systems

Authors and titles for January 2024

[1] arXiv:2401.00378 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Semi-deterministic processes with applications in random billiards Show Chinese title

Title: 半确定性过程及其在随机台球中的应用

Peter Rudzis

Comments: 68 pages, 7 figures

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

[2] arXiv:2401.00567 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Mean ergodic theorems in $L^r(μ)$ and $H^r(\mathbb T)$, $0<r<1$ Show Chinese title

Title: Mean ergodic theorems in $L^r(μ)$ and $H^r(\mathbb T)$, $0<r<1$

el Houcein el Abdalaoui, Michael Lin

Comments: 18 pages, 25 references, 3 Lemmas, 6 Theorems, 12 Propositions and 7 Remarks

Subjects: Dynamical Systems (math.DS) ; Functional Analysis (math.FA)

[3] arXiv:2401.00626 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Complex continued fractions, Kleinian and extremal theory for cusp excursions Show Chinese title

Title: 复连分数，尖点穿越的克莱因群和极值理论

Alexander Baumgartner, Mark Pollicott

Comments: 19 pages, 4 figures Fixed typos. Converted appendix to new section and improved presentation of proofs. Added Theorem 1.3 (an application to Diophantine Approximation) along with a proof in Subsection 6.3. Changed title to more accurately reflect contents of preprint

Subjects: Dynamical Systems (math.DS) ; Number Theory (math.NT)

[4] arXiv:2401.00654 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Global rigidity for some partially hyperbolic abelian actions with 1-dimensional center Show Chinese title

Title: 某些具有1维中心的部分双曲阿贝尔作用的全局刚性

Sven Sandfeldt

Comments: 54 pages, 1 figure. Changes in introduction and format

Subjects: Dynamical Systems (math.DS)

[5] arXiv:2401.00655 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: The minimal periodic solutions for superquadratic autonomous Hamiltonian systems without the Palais-Smale condition Show Chinese title

Title: 超二次自治哈密顿系统中最小周期解 without the Palais-Smale condition

Yuming Xiao, Gaosheng Zhu

Subjects: Dynamical Systems (math.DS)

[6] arXiv:2401.00734 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Euclidean algorithms are Gaussian over imaginary quadratic fields Show Chinese title

Title: 欧几里得算法在虚二次域上是高斯的

Dohyeong Kim, Jungwon Lee, Seonhee Lim

Comments: 40 pages

Subjects: Dynamical Systems (math.DS) ; Number Theory (math.NT)

[7] arXiv:2401.00735 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Dynamical processes on metric networks Show Chinese title

Title: 度量网络上的动态过程

Lucas Böttcher, Mason A. Porter

Comments: 33 pages, 12 figures

Subjects: Dynamical Systems (math.DS) ; Mathematical Physics (math-ph) ; Analysis of PDEs (math.AP) ; Numerical Analysis (math.NA) ; Computational Physics (physics.comp-ph)

[8] arXiv:2401.00795 (cross-list from math.DS) [cn-pdf, pdf, other]

Title: The near-parabolic geometry of external rays Show Chinese title

Title: 外部射线的近抛物几何

Alex Kapiamba

Comments: This paper has been combined with arXiv:2103.03211

Subjects: Dynamical Systems (math.DS)

[9] arXiv:2401.00836 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: The dynamics of the heterochaos baker maps Show Chinese title

Title: 异混沌贝克映射的动力学

Yoshitaka Saiki, Hiroki Takahasi, Kenichiro Yamamoto, James A. Yorke

Comments: 39 pages, 11 figures

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

[10] arXiv:2401.00916 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Data Assimilation in Chaotic Systems Using Deep Reinforcement Learning Show Chinese title

Title: 利用深度强化学习的数据同化在混沌系统中的应用

Mohamad Abed El Rahman Hammoud, Naila Raboudi, Edriss S. Titi, Omar Knio, Ibrahim Hoteit

Subjects: Dynamical Systems (math.DS) ; Artificial Intelligence (cs.AI) ; Machine Learning (cs.LG) ; Atmospheric and Oceanic Physics (physics.ao-ph)

[11] arXiv:2401.00951 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: On the structure of foliations on dilation surfaces Show Chinese title

Title: 关于膨胀曲面的叶状结构

Anna Sophie Schmidhuber

Comments: 66 pages, Master's thesis

Subjects: Dynamical Systems (math.DS)

[12] arXiv:2401.01120 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Van der Corput and metric theorems for geometric progressions for self-similar measures Show Chinese title

Title: 范德科拉普特和自相似测度的几何级数度量定理

Amir Algom, Yuanyang Chang, Meng Wu, Yu-Liang Wu

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

[13] arXiv:2401.01241 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Polynomial Fourier decay for fractal measures and their pushforwards Show Chinese title

Title: 多项式傅里叶衰减对于分形测度及其前推

Simon Baker, Amlan Banaji

Comments: 53 pages, 1 figure. v2 has several clarifications and changes to structure and numbering; main results are unchanged. To appear in Mathematische Annalen

Journal-ref: Math. Ann. 392 (2025) 209-261

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

[14] arXiv:2401.01475 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Smooth invariant foliations and Koopman eigenfunctions about stable equilibria of semiflows Show Chinese title

Title: 光滑不变叶状结构和半流稳定平衡点的Koopman本征函数

Gergely Buza

Subjects: Dynamical Systems (math.DS) ; Analysis of PDEs (math.AP) ; Fluid Dynamics (physics.flu-dyn)

[15] arXiv:2401.01499 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: The Lyapunov spectrum as the Newton-Raphson method for countable Markov interval maps Show Chinese title

Title: Lyapunov谱作为可数马尔可夫区间映射的牛顿-拉夫森方法

Nicolás Arévalo H

Comments: To appear in the Journal of Mathematical Analysis and Applications. 19 pages, and 2 figures

Subjects: Dynamical Systems (math.DS)

[16] arXiv:2401.01771 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Index concepts for linear differential-algebraic equations in finite and infinite dimensions Show Chinese title

Title: 线性微分代数方程的索引概念在有限和无限维空间中

Mehmet Erbay, Birgit Jacob, Kirsten Morris, Timo Reis, Caren Tischendorf

Subjects: Dynamical Systems (math.DS)

[17] arXiv:2401.01847 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Horizontal Goodman surgery and almost equivalence of pseudo-Anosov flows Show Chinese title

Title: 水平 Goodman 手术和伪 Anosov 流的几乎等价性

Chi Cheuk Tsang

Comments: 71 pages, 35 figures

Subjects: Dynamical Systems (math.DS) ; Geometric Topology (math.GT)

[18] arXiv:2401.01958 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Constrained quantization for the Cantor distribution with a family of constraints Show Chinese title

Title: 具有约束族的康托尔分布的约束量化

Megha Pandey, Mrinal Kanti Roychowdhury

Subjects: Dynamical Systems (math.DS)

[19] arXiv:2401.02074 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: On the boundary of the central quadratic hyperbolic component Show Chinese title

Title: 在中心二次双曲分量的边界上

Guizhen Cui, Wenjuan Peng

Comments: 9 pages,3 figures

Subjects: Dynamical Systems (math.DS)

[20] arXiv:2401.02273 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Irreducibility and periodicity in $\mathbb{Z}^{2}$ symbolic systems Show Chinese title

Title: 不可约性与周期性在$\mathbb{Z}^{2}$符号系统中

Michael Hochman

Comments: 37 pages, 3 figures

Subjects: Dynamical Systems (math.DS)

[21] arXiv:2401.02311 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Fourier neural operator based fluid-structure interaction for predicting the vesicle dynamics Show Chinese title

Title: 基于傅里叶神经算子的流体-结构相互作用用于预测囊泡动力学

Wang Xiao, Ting Gao, Kai Liu, Jinqiao Duan, Meng Zhao

Subjects: Dynamical Systems (math.DS)

[22] arXiv:2401.02336 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Phototactic bioconvection in an algal suspension with a free top wall due to diffuse flux in the absence of direct collimated flux Show Chinese title

Title: 藻类悬浮液中的趋光性生物对流，由于没有直接准直通量时的扩散通量导致自由顶壁

S. K. Rajput, M. K. Panda

Subjects: Dynamical Systems (math.DS)

[23] arXiv:2401.02338 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Effects of forward scattering on the onset of phototactic bioconvection in an algal suspension under diffuse flux without collimated flux Show Chinese title

Title: 前向散射对无定向辐射通量下藻类悬浮液光趋性生物对流起始的影响

S. K. Rajput, M. K. Panda

Subjects: Dynamical Systems (math.DS) ; Fluid Dynamics (physics.flu-dyn)

[24] arXiv:2401.02401 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Analytic solutions to nonlinear ODEs via spectral power series Show Chinese title

Title: 通过谱幂级数求非线性常微分方程的解析解

Estelle Basor, Rebecca Morrison

Comments: 20 pages, 4 figures

Subjects: Dynamical Systems (math.DS)

[25] arXiv:2401.02776 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Finite Measures of Maximal Entropy for an Open Set of Partially Hyperbolic Diffeomorphisms Show Chinese title

Title: 部分双曲微分同胚的开集的最大熵有限测度

Juan Carlos Mongez, Maria Jose Pacifico

Subjects: Dynamical Systems (math.DS)

[26] arXiv:2401.03174 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Pointwise convergence of ergodic averages with Möbius weight Show Chinese title

Title: 遍历平均值与梅比乌斯权的逐点收敛

Joni Teräväinen

Comments: 33 pages; Theorem 1.2 substantially strengthened and Theorem 1.6 added

Subjects: Dynamical Systems (math.DS) ; Number Theory (math.NT)

[27] arXiv:2401.03216 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Distributed Identification of Stable Large-Scale Isomorphic Nonlinear Networks Using Partial Observations Show Chinese title

Title: 基于部分观测的稳定大规模同构非线性网络的分布式辨识

Chunhui Li, Chengpu Yu

Subjects: Dynamical Systems (math.DS)

[28] arXiv:2401.03299 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Discrete delayed perturbation of Mittag-Leffler function and its application to linear fractional delayed difference system Show Chinese title

Title: Mittag-Leffler函数的离散延迟扰动及其在线性分数阶延迟差分系统中的应用

Mustafa Aydin, Nazim I. Mahmudov

Subjects: Dynamical Systems (math.DS)

[29] arXiv:2401.03354 (cross-list from math.DS) [cn-pdf, pdf, other]

Title: Impulsive Control on Invariant Surfaces Show Chinese title

Title: 脉冲控制在不变曲面上

C. C. Silva Jr., J. Marao, A. Figueiredo, T. M. Rocha Filho

Comments: 15 Pages, 4 Figures, Preprint Article

Subjects: Dynamical Systems (math.DS)

[30] arXiv:2401.03419 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: The role of resonator neuron in the dynamics of two coupled integrator and resonator neurons of different types of excitability Show Chinese title

Title: 共振神经元在不同兴奋性类型的两个耦合积分器和共振神经元动力学中的作用

Mohammad Reza Razvan, Somaye Yasaman

Subjects: Dynamical Systems (math.DS) ; Classical Analysis and ODEs (math.CA) ; Chaotic Dynamics (nlin.CD)

[31] arXiv:2401.03535 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: On nonlinear iterated function systems with overlaps Show Chinese title

Title: 关于具有重叠的非线性迭代函数系统

Boris Solomyak

Comments: Comments welcome!

Subjects: Dynamical Systems (math.DS)

[32] arXiv:2401.03557 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Investigating the probability of a cylindrical coin landing on its side Show Chinese title

Title: 研究圆柱形硬币落地时立起来的概率

Anton Gaek, Artem Sukhov

Subjects: Dynamical Systems (math.DS)

[33] arXiv:2401.03679 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Variational principles of relative weighted topological pressures Show Chinese title

Title: 相对加权拓扑压的变分原理

Zhengyu Yin

Subjects: Dynamical Systems (math.DS)

[34] arXiv:2401.03724 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Simplices in large sets and directional expansion in ergodic actions Show Chinese title

Title: 大集合中的单形和遍历作用中的方向扩展

Michael Björklund, Alexander Fish

Comments: 21 pages

Journal-ref: Forum of Mathematics, Sigma 12 (2024) e121

Subjects: Dynamical Systems (math.DS) ; Combinatorics (math.CO)

[35] arXiv:2401.03728 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Generalized Lagrangian Neural Networks Show Chinese title

Title: 广义拉格朗日神经网络

Shanshan Xiao, Jiawei Zhang, Yifa Tang

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

[36] arXiv:2401.03843 (cross-list from math.DS) [cn-pdf, pdf, other]

Title: Topologically mildly mixing of higher orders along generalized polynomials Show Chinese title

Title: 沿广义多项式的高阶拓扑弱混合性

Yang Cao, Jianjie Zhao

Comments: 24 pages

Subjects: Dynamical Systems (math.DS)

[37] arXiv:2401.03953 (cross-list from math.DS) [cn-pdf, pdf, other]

Title: Multifractal analysis for the pointwise Assouad dimension of self-similar measures Show Chinese title

Title: 自相似测度的局部阿索夫维数的多分形分析

Roope Anttila, Ville Suomala

Comments: 22 pages, 1 figure. Comments are welcome!

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

[38] arXiv:2401.04058 (cross-list from math.DS) [cn-pdf, pdf, other]

Title: Nonlinear recursions on the reals and a problem of Graham Show Chinese title

Title: 实数上的非线性递归和格雷厄姆的一个问题

Stefan Steinerberger

Subjects: Dynamical Systems (math.DS)

[39] arXiv:2401.04310 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: On holomorphic partially hyperbolic systems Show Chinese title

Title: 关于全纯部分双曲系统

Disheng Xu, Jiesong Zhang

Comments: Revised version with additional arguments in Section 8 and refined expressions. 29 pages

Subjects: Dynamical Systems (math.DS)

[40] arXiv:2401.04324 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Collective rhythm design in coupled mixed-feedback systems through dominance and bifurcations Show Chinese title

Title: 通过主导性和分岔实现耦合混合反馈系统中的集体节奏设计

Omar Juarez-Alvarez, Alessio Franci

Comments: 20 pages, 6 figures

Subjects: Dynamical Systems (math.DS) ; Optimization and Control (math.OC) ; Adaptation and Self-Organizing Systems (nlin.AO)

[41] arXiv:2401.04455 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Random self-similar series over a rotation Show Chinese title

Title: 随机自相似级数关于旋转

Julien Brémont (LAMA)

Subjects: Dynamical Systems (math.DS)

[42] arXiv:2401.05003 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Numerical computation of high-order expansions of invariant manifolds of high-dimensional tori Show Chinese title

Title: 高维环面不变流形的高阶展开式的数值计算

Joan Gimeno, Àngel Jorba, Begoña Nicolás, Estrella Olmedo

Subjects: Dynamical Systems (math.DS) ; Classical Physics (physics.class-ph)

[43] arXiv:2401.05078 (cross-list from math.DS) [cn-pdf, pdf, other]

Title: A Mathematical Theory for Studying and Controlling the Disinformation System Dynamics Show Chinese title

Title: 一种用于研究和控制虚假信息系统动态的数学理论

Arindam Kumar Paul, M. Haider Ali Biswas

Comments: 8 Pages, 6 Figures, Accepted Paper, Proceedings of the ICMAAM-2023, Part of the Book Series: Springer Proceedings in Mathemat-ics & Statistics

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

[44] arXiv:2401.05118 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: On Escape rate for subshift with Markov measure Show Chinese title

Title: 关于马尔可夫测度下子移位的逃逸率

Nikita Agarwal, Haritha Cheriyath, Sharvari Neetin Tikekar

Subjects: Dynamical Systems (math.DS)

[45] arXiv:2401.05316 (cross-list from math.DS) [cn-pdf, pdf, other]

Title: A mathematical model of clonal hematopoiesis explaining phase transitions in myeloid leukemia Show Chinese title

Title: 克隆性造血的数学模型解释髓系白血病中的相变

Lorand Gabriel Parajdi, Xue Bai, David Kegyes, Ciprian Tomuleasa

Subjects: Dynamical Systems (math.DS)

[46] arXiv:2401.05356 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Approximate probability density function for nonlinear surging in irregular following seas Show Chinese title

Title: 非定常波浪中非线性纵摇的近似概率密度函数

Atsuo Maki, Yuuki Maruyama, Keiji Katsumura, Leo Dostal

Subjects: Dynamical Systems (math.DS) ; Atmospheric and Oceanic Physics (physics.ao-ph)

[47] arXiv:2401.05372 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: A naturally appearing family of Cantorvals Show Chinese title

Title: 一个自然出现的康托尔块族

Michael Baake (Bielefeld), Anton Gorodetski (Irvine), Jan Mazáč (Bielefeld)

Comments: 11 pages, 3 figures; revised and improved version

Journal-ref: Lett. Math. Phys. 114 (2024) 101:1-12

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

[48] arXiv:2401.05374 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Data-driven reconstruction of chaotic dynamical equations: the Hénon-Heiles type system Show Chinese title

Title: 基于数据的混沌动力方程重构：Henon-Heiles型系统

A. M. Escobar-Ruiz, L. Jiménez-Lara, P. M. Juárez-Florez, F. Montoya-Molina, J. Moreno-Sáenz, M. A. Quiroz-Juarez

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

[49] arXiv:2401.05387 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Periodic second-order systems and coupled forced Van der Pol oscillators Show Chinese title

Title: 周期性二阶系统和耦合的受迫范德波尔振子

Feliz Minhós, Sara Perestrelo

Comments: 17 pages, 6 figures

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

[50] arXiv:2401.05672 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Pitchfork bifurcation along a slow parameter ramp: coherent structures in the critical scaling Show Chinese title

Title: 沿慢参数斜坡的Pitchfork分岔：临界标度中的相干结构

Ryan Goh, Tasso J. Kaper, Arnd Scheel

Subjects: Dynamical Systems (math.DS) ; Analysis of PDEs (math.AP) ; Pattern Formation and Solitons (nlin.PS)