Dynamical Systems

Authors and titles for math.DS in Jul 2021

[1]  arXiv:2107.00205 [pdf, ps, other]

Title: Ergodic Average Of Typical Orbits And Typical Functions

Authors: Xiaobo Hou, Wanshan Lin, Xueting Tian

Comments: Reorganized version

Subjects: Dynamical Systems (math.DS)

[2]  arXiv:2107.00634 [pdf, other]

Title: Existence of complete Lyapunov functions with prescribed orbital derivative

Authors: Peter Giesl, Sigurdur Hafstein, Stefan Suhr

Comments: 14 pages, comments are welcome

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

[3]  arXiv:2107.00983 [pdf, ps, other]

Title: Finer geometry of planar self-affine sets

Authors: Balázs Bárány, Antti Käenmäki, Han Yu

Comments: 48 pages, 2 figures

Subjects: Dynamical Systems (math.DS)

[4]  arXiv:2107.01200 [pdf, ps, other]

Title: Genericity of historic behavior for maps and flows

Authors: Maria Carvalho, Paulo Varandas

Comments: 14 pages, revised and improved version of previous preprint "Minimality and irregular sets"

Subjects: Dynamical Systems (math.DS)

[5]  arXiv:2107.01588 [pdf, ps, other]

Title: Addition and intersection of linear time-invariant behaviors

Authors: Antonio Fazzi, Ivan Markovsky

Subjects: Dynamical Systems (math.DS)

[6]  arXiv:2107.01708 [pdf, other]

Title: Rescaled-Expansive Flows: Unstable Sets and Topological Entropy

Authors: Alexander Arbieto, Alfonso Artigue, Elias Rego

Subjects: Dynamical Systems (math.DS)

[7]  arXiv:2107.01888 [pdf, other]

Title: Thesis manuscript: Projective and complex billiards, periodic orbits and Pfaffian systems

Authors: Corentin Fierobe

Comments: This document is the manuscript of Corentin Fierobe's thesis about the billiard as a dynamical system. The first pages (title, introduction) are in French, but the rest of the document is in English

Subjects: Dynamical Systems (math.DS)

[8]  arXiv:2107.01968 [pdf, ps, other]

Title: Some variational principles for the metric mean dimension of a semigroup action

Authors: Thomas Jacobus, Fagner B. Rodrigues, Marcus V. Silva

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

[9]  arXiv:2107.02068 [pdf, ps, other]

Title: Improved versions of some Furstenberg type slicing Theorems for self-affine carpets

Authors: Amir Algom, Meng Wu

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

[10]  arXiv:2107.02090 [pdf, ps, other]

Title: Asymptotics and limit theorems for horocycle ergodic integrals à la Ratner

Authors: Davide Ravotti

Comments: With an appendix by Emilio Corso. 23 pages

Subjects: Dynamical Systems (math.DS)

[11]  arXiv:2107.02107 [pdf, other]

Title: Sparsifying Priors for Bayesian Uncertainty Quantification in Model Discovery

Authors: Seth M. Hirsh, David A. Barajas-Solano, J. Nathan Kutz

Comments: 22 pages, 8 figures, 4 tables

Subjects: Dynamical Systems (math.DS)

[12]  arXiv:2107.02115 [pdf, other]

Title: Persistence of Conley-Morse Graphs in Combinatorial Dynamical Systems

Authors: Tamal K. Dey, Marian Mrozek, Ryan Slechta

Subjects: Dynamical Systems (math.DS); Computational Geometry (cs.CG); Algebraic Topology (math.AT)

[13]  arXiv:2107.02289 [src]

Title: A mod n version of the Kronecker-Weyl equidistribution theorem

Authors: J. Beck, W.W.L. Chen

Comments: Error in Lemma 3.4 leading to further issues

Subjects: Dynamical Systems (math.DS)

[14]  arXiv:2107.02313 [pdf, ps, other]

Title: Analytic weakly mixing diffeomorphisms on odd dimensional spheres

Authors: Gerard Farré

Subjects: Dynamical Systems (math.DS)

[15]  arXiv:2107.02340 [pdf, ps, other]

Title: Theory of vibrators with variable-order fractional forces

Authors: Ming Li

Subjects: Dynamical Systems (math.DS)

[16]  arXiv:2107.02403 [pdf, ps, other]

Title: Fluctuation bounds for ergodic averages of amenable groups

Authors: Andrew Warren

Comments: 14 pages. Journal article version of results previously appearing in the thesis arXiv:1901.08538 (with some minor corrections). To appear in Bull. London Math. Soc

Subjects: Dynamical Systems (math.DS)

[17]  arXiv:2107.02556 [pdf, other]

Title: Critical intermittency in random interval maps

Authors: Ale Jan Homburg, Charlene Kalle, Marks Ruziboev, Evgeny Verbitskiy, Benthen Zeegers

Comments: 38 pages, 3 figures

Subjects: Dynamical Systems (math.DS)

[18]  arXiv:2107.02663 [pdf, other]

Title: Bifurcation loci of families of finite type meromorphic maps

Authors: Matthieu Astorg, Anna Miriam Benini, Núria Fagella

Subjects: Dynamical Systems (math.DS)

[19]  arXiv:2107.02669 [pdf, ps, other]

Title: Joint ergodicity of fractional powers of primes

Authors: Nikos Frantzikinakis

Comments: 27 pages. Referee's comments incorporated. To appear in Forum of Mathematics, Sigma

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

[20]  arXiv:2107.02699 [pdf, ps, other]

Title: On normal numbers and self-similar measures

Authors: Simon Baker

Comments: This article has been superseded by arXiv:2111.10082

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

[21]  arXiv:2107.02853 [pdf, ps, other]

Title: KAM quasi-periodic tori for the dissipative spin-orbit problem

Authors: Renato Calleja, Alessandra Celletti, Joan Gimeno, Rafael de la Llave

Comments: 33 pages, 1 figure

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

[22]  arXiv:2107.03130 [pdf, ps, other]

Title: Invariant Gragh and Random Bony Attractors

Authors: F. H. Ghane, M.Rabiee, M. Zaj

Comments: 13 pages, 0 figure

Subjects: Dynamical Systems (math.DS)

[23]  arXiv:2107.03241 [pdf, other]

Title: A trajectory-driven algorithm for differentiating SRB measures on unstable manifolds

Authors: Adam A. Sliwiak, Qiqi Wang

Comments: 25 pages, 9 figures, submitted to journal, under review

Subjects: Dynamical Systems (math.DS)

[24]  arXiv:2107.03295 [pdf, ps, other]

Title: Rigidity of joinings for time-changes of unipotent flows on quotients of Lorentz groups

Authors: Siyuan Tang

Subjects: Dynamical Systems (math.DS)

[25]  arXiv:2107.03476 [pdf, other]

Title: A method for preserving nominally-resolved flow patterns in low-resolution ocean simulations

Authors: Igor Shevchenko, Pavel Berloff

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

[26]  arXiv:2107.03493 [pdf, other]

Title: Geometric Structure and Ergodic Properties of Bony Multi-Graphs

Authors: M. Rabiee, F. H. Ghane, M. Zaj

Comments: 23 pages, 1 figure

Subjects: Dynamical Systems (math.DS)

[27]  arXiv:2107.03499 [pdf, ps, other]

Title: Non co-preservation of the $1/2$ & $1/(2l+1)$-rational caustics along deformations of circles

Authors: V. Kaloshin, C. E. Koudjinan

Comments: 15 pages

Subjects: Dynamical Systems (math.DS)

[28]  arXiv:2107.03559 [pdf, ps, other]

Title: Remarks on algebraic dynamics in positive characteristic

Authors: Junyi Xie

Comments: 34 pages

Subjects: Dynamical Systems (math.DS); Algebraic Geometry (math.AG)

[29]  arXiv:2107.03566 [pdf, ps, other]

Title: Maximal pronilfactors and a topological Wiener-Wintner theorem

Authors: Yonatan Gutman, Zhengxing Lian

Subjects: Dynamical Systems (math.DS)

[30]  arXiv:2107.03631 [pdf, other]

Title: Reconstructing a minimal topological dynamical system from a set of return times

Authors: Kamil Bulinski, Alexander Fish

Comments: 14 pages, 0 figures. Typos fixed. To appear in Ergodic Theory and Dynamical Systems

Subjects: Dynamical Systems (math.DS)

[31]  arXiv:2107.03692 [pdf, other]

Title: Typical absolute continuity for classes of dynamically defined measures

Authors: Balázs Bárány, Károly Simon, Boris Solomyak, Adam Śpiewak

Subjects: Dynamical Systems (math.DS)

[32]  arXiv:2107.03776 [pdf, ps, other]

Title: Equilibrium states for non-transitive random open and closed dynamical systems

Authors: Jason Atnip, Gary Froyland, Cecilia González-Tokman, Sandro Vaienti

Subjects: Dynamical Systems (math.DS)

[33]  arXiv:2107.04016 [pdf, other]

Title: Relationship between the Mandelbrot Algorithm and the Platonic Solids

Authors: André Vallières, Dominic Rochon

Journal-ref: Mathematics, 10, 482, 2022 (Special Issue Frontier in Fractals, MDPI)

Subjects: Dynamical Systems (math.DS)

[34]  arXiv:2107.04113 [pdf, other]

Title: Birational maps with transcendental dynamical degree

Authors: Jason Bell, Jeffrey Diller, Mattias Jonsson, Holly Krieger

Comments: To appear in Proc. Lond. Math. Soc

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

[35]  arXiv:2107.04159 [pdf, ps, other]

Title: Flocking formation and stabilizer of boosted cooperative control on a sphere

Authors: Sun-Ho Choi, Dohyun Kwon, Hyowon Seo

Subjects: Dynamical Systems (math.DS); Optimization and Control (math.OC)

[36]  arXiv:2107.04161 [pdf, ps, other]

Title: Multi-agent system for target tracking on a sphere and its asymptotic behavior

Authors: Sun-Ho Choi, Dohyun Kwon, Hyowon Seo

Subjects: Dynamical Systems (math.DS); Optimization and Control (math.OC)

[37]  arXiv:2107.04334 [pdf, ps, other]

Title: Structure of the attractor for a non-local Chafee-Infante problem

Authors: Estefani M. Moreira, José Valero

Subjects: Dynamical Systems (math.DS); Analysis of PDEs (math.AP)

[38]  arXiv:2107.04385 [pdf, ps, other]

Title: Thermodynamic formalism for invariant measures in iterated function systems with overlaps

Authors: Eugen Mihailescu

Comments: To appear in Communications in Contemporary Mathematics, DOI: 10.1142/S0219199721500413. arXiv admin note: substantial text overlap with arXiv:1908.10050

Subjects: Dynamical Systems (math.DS); Complex Variables (math.CV); Metric Geometry (math.MG); Probability (math.PR)

[39]  arXiv:2107.04418 [pdf, other]

Title: Curvature-driven front propagation through planar lattices in oblique directions

Authors: Mia Jukić, Hermen Jan Hupkes

Subjects: Dynamical Systems (math.DS); Analysis of PDEs (math.AP)

[40]  arXiv:2107.04718 [pdf, other]

Title: Wind-tree model for billiard motion from a signal processing viewpoint

Authors: Enrico Au-Yeung, Nick Kreissler

Comments: 19 figures

Subjects: Dynamical Systems (math.DS)

[41]  arXiv:2107.05017 [pdf, ps, other]

Title: Translates of S-arithmetic orbits and applications

Authors: Uri Shapira, Cheng Zheng

Comments: Minor changes on Theorem 1.2 and Theorem 1.4; add a proof of Theorem 1.5

Subjects: Dynamical Systems (math.DS)

[42]  arXiv:2107.05118 [pdf, ps, other]

Title: Spatial relative equilibria and periodic solutions of the Coulomb $(n+1)$-body problem

Authors: Kevin Constantineau, Carlos García-Azpeitia, Jean-Philippe Lessard

Subjects: Dynamical Systems (math.DS)

[43]  arXiv:2107.05149 [pdf, other]

Title: Infinite Lifting of an Action of Symplectomorphism Group on the set of Bi-Lagrangian Structures

Authors: Bertuel Tangue Ndawa

Comments: 25 pages, 2figure

Subjects: Dynamical Systems (math.DS)

[44]  arXiv:2107.05273 [pdf, ps, other]

Title: Elementary amenability and almost finiteness

Authors: David Kerr, Petr Naryshkin

Comments: 22 pages, minor changes

Subjects: Dynamical Systems (math.DS); Operator Algebras (math.OA)

[45]  arXiv:2107.05557 [pdf, ps, other]

Title: Dynamical characterization of central sets along filter

Authors: Pintu Debnath, Sayan Goswami

Comments: arXiv admin note: text overlap with arXiv:1711.06054 by other authors

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

[46]  arXiv:2107.05963 [pdf, ps, other]

Title: On iterates of rational functions with maximal number of critical values

Authors: Fedor Pakovich

Comments: The final version, to appear in J. Anal. Math

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

[47]  arXiv:2107.05982 [pdf, ps, other]

Title: Variation of Canonical Height for Fatou points on $\mathbb{P}^1$

Authors: Laura DeMarco, Niki Myrto Mavraki

Comments: added a conjecture and made minor edits

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

[48]  arXiv:2107.06062 [pdf, ps, other]

Title: Local finiteness and automorphism groups of low complexity subshifts

Authors: Ronnie Pavlov, Scott Schmieding

Comments: 21 pages

Subjects: Dynamical Systems (math.DS)

[49]  arXiv:2107.06105 [pdf, ps, other]

Title: Cherry Maps with Different Critical Exponents: Bifurcation of Geometry

Authors: Bertuel Tangue Ndawa

Comments: 23 pages. arXiv admin note: text overlap with arXiv:2103.02347

Journal-ref: Russian Journal of Nonlinear Dynamics, ISSN 2658-5324 (print), 2658-5316 (on-line), 2005 editorial@rcd.ru

Subjects: Dynamical Systems (math.DS)

[50]  arXiv:2107.06271 [pdf, other]

Title: Structural Identifiability of Series-Parallel LCR Systems

Authors: Cashous Bortner, Seth Sullivant

Comments: 28 pages, 2 figures, 2 tables

Journal-ref: Journal of Symbolic Computation, Volume 112, September-October 2022, Pages 79-104

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

[51]  arXiv:2107.06418 [pdf, other]

Title: Epidemic models in measure spaces: persistence, concentration and oscillations

Authors: Jean-Baptiste Burie, Arnaud Ducrot, Quentin Griette

Comments: 40 pages, 7 figures

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

[52]  arXiv:2107.06487 [pdf, other]

Title: Emergence of synchronization in Kuramoto model with general digraph

Authors: Xiongtao Zhang, Tingting Zhu

Subjects: Dynamical Systems (math.DS)

[53]  arXiv:2107.06567 [pdf, ps, other]

Title: Poincaré maps and suspension flows: a categorical remark

Authors: Tomoharu Suda

Comments: 18pages, to appear in Dynamical Systems under the title "A categorical view of Poincar\'e maps and suspension flows"

Subjects: Dynamical Systems (math.DS)

[54]  arXiv:2107.06658 [pdf, other]

Title: A Framework for Machine Learning of Model Error in Dynamical Systems

Authors: Matthew E. Levine, Andrew M. Stuart

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

[55]  arXiv:2107.06745 [pdf, ps, other]

Title: Smoothness of class $C^2$ of nonautonomous linearization without spectral conditions

Authors: Nestor Jara

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

[56]  arXiv:2107.06830 [pdf, other]

Title: Invariant tori for multi-dimensional integrable hamiltonians coupled to a single thermostat

Authors: Leo T. Butler

Comments: 32 pages; 7 figures

Subjects: Dynamical Systems (math.DS); Statistical Mechanics (cond-mat.stat-mech)

[57]  arXiv:2107.07088 [pdf, ps, other]

Title: Aubry-Mather theory for contact Hamiltonian systems II

Authors: Kaizhi Wang, Lin Wang, Jun Yan

Subjects: Dynamical Systems (math.DS); Analysis of PDEs (math.AP)

[58]  arXiv:2107.07152 [pdf, other]

Title: Dead zones and phase reduction of coupled oscillators

Authors: Peter Ashwin, Christian Bick, Camille Poignard

Journal-ref: Chaos, 31(9), 093132 (2021)

Subjects: Dynamical Systems (math.DS); Disordered Systems and Neural Networks (cond-mat.dis-nn); Adaptation and Self-Organizing Systems (nlin.AO)

[59]  arXiv:2107.07185 [pdf, other]

Title: Takagi type functions and dynamical systems: the smoothness of the SBR measure and the existence and smoothness of local time

Authors: P. Imkeller, O. Menoukeu Pamen

Comments: 1 figure. arXiv admin note: substantial text overlap with arXiv:2009.03628

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

[60]  arXiv:2107.07262 [pdf, other]

Title: Quadratic rational maps with integer multipliers

Authors: Valentin Huguin

Comments: 17 pages, 4 figures, 6 tables

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

[61]  arXiv:2107.07456 [pdf, other]

Title: Latent Modes of Nonlinear Flows -- a Koopman Theory Analysis

Authors: Ido Cohen, Guy Gilboa

Comments: Visit our websites this https URL and this https URL The MatLab code is available in this https URL

Subjects: Dynamical Systems (math.DS)

[62]  arXiv:2107.07626 [pdf, ps, other]

Title: Multiple recurrence and popular differences for polynomial patterns in rings of integers

Authors: Ethan Ackelsberg, Vitaly Bergelson

Comments: 37 pages. Title changed from previous version, more details added to proof of Proposition 2.4, minor changes and corrections throughout the text. Paper to appear in Mathematical Proceedings of the Cambridge Philosophical Society

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

[63]  arXiv:2107.07680 [pdf, ps, other]

Title: On planar curves with position-dependent curvature

Authors: Arno Berger

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

[64]  arXiv:2107.07847 [pdf, other]

Title: On the Shroer-Sauer-Ott-Yorke predictability conjecture for time-delay embeddings

Authors: Krzysztof Barański, Yonatan Gutman, Adam Śpiewak

Comments: Final authors version, minor corrections

Journal-ref: Commun. Math. Phys. 391, 609-641 (2022)

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

[65]  arXiv:2107.07861 [pdf, ps, other]

Title: Pointwise Ergodic Theorems for Higher Levels of Mixing

Authors: Sohail Farhangi

Comments: This paper is set to appear in Studia Mathematica

Subjects: Dynamical Systems (math.DS)

[66]  arXiv:2107.07969 [pdf, ps, other]

Title: Existence of periodic points with real and simple spectrum for diffeomorphisms in any dimension

Authors: Jamerson Bezerra, Carlos Gustavo Moreira

Subjects: Dynamical Systems (math.DS)

[67]  arXiv:2107.08429 [pdf, other]

Title: Support vector machines for learning reactive islands

Authors: Shibabrat Naik, Vladimír Krajňák, Stephen Wiggins

Comments: 30 pages, 9 figures

Subjects: Dynamical Systems (math.DS); Machine Learning (cs.LG); Chemical Physics (physics.chem-ph)

[68]  arXiv:2107.08764 [pdf, ps, other]

Title: Galois conjugates for some family of generalized beta-maps

Authors: Shintaro Suzuki

Comments: 10 pages

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

[69]  arXiv:2107.08776 [pdf, other]

Title: Lipschitz sub-actions for locally maximal hyperbolic sets of a $C^1$ maps

Authors: Xifeng Su, Philippe Thieullen, Wenzhe Yu

Comments: 30 pages, 2 figures

Subjects: Dynamical Systems (math.DS)

[70]  arXiv:2107.08798 [pdf, ps, other]

Title: Van der Corput inequality for real line and Wiener-Wintner theorem for amenable groups

Authors: el Houcein el Abdalaoui

Comments: 12 pages. Scientific Comments and questions are welcome

Subjects: Dynamical Systems (math.DS)

[71]  arXiv:2107.08875 [pdf, other]

Title: A Morse complex for Axiom A flows

Authors: Antoine Meddane (LMJL)

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

[72]  arXiv:2107.08938 [pdf, other]

Title: Compressed Compressor

Authors: Alyssa Novelia, Yusuf Aydogdu, Thambirajah Ravichandran, N. Sri Namachchivaya

Comments: 13 pages, 7 figures

Subjects: Dynamical Systems (math.DS); Analysis of PDEs (math.AP); Optimization and Control (math.OC)

[73]  arXiv:2107.08951 [pdf, ps, other]

Title: Spectrum of weak model sets with Borel windows

Authors: Gerhard Keller, Christoph Richard, Nicolae Strungaru

Comments: 14 pages, v2: title changed, minor adjustments, v3: statements of theorems refined, example class added

Subjects: Dynamical Systems (math.DS)

[74]  arXiv:2107.09059 [pdf, ps, other]

Title: Ergodic dynamical systems over the Cartesian power of the ring of p-adic integers

Authors: Valerii Sopin

Comments: T-Functions of several variables: New Criteria for Transitivity

Journal-ref: P-Adic Num Ultrametr Anal Appl 6, 333-336 (2014)

Subjects: Dynamical Systems (math.DS); Cryptography and Security (cs.CR)

[75]  arXiv:2107.09263 [pdf, ps, other]

Title: Local entropy theory and descriptive complexity

Authors: Udayan B. Darji, Felipe García-Ramos

Subjects: Dynamical Systems (math.DS); Logic (math.LO)

[76]  arXiv:2107.09383 [pdf, other]

Title: Stability of cycles in a game of Rock-Scissors-Paper-Lizard-Spock

Authors: Sofia B. S. D. Castro, Liliana Garrido-da-Silva, Ana Ferreira, Isabel S. Labouriau

Subjects: Dynamical Systems (math.DS)

[77]  arXiv:2107.09407 [pdf, other]

Title: The Parabolic Mandelbrot Set

Authors: Carsten Lunde Petersen, Pascale Roesch

Comments: This revised version has 80 pages, 26 illustrations

Subjects: Dynamical Systems (math.DS)

[78]  arXiv:2107.09642 [pdf, other]

Title: Linear Invariants for Linear Systems

Authors: Ashish Tiwari

Subjects: Dynamical Systems (math.DS); Systems and Control (eess.SY)

[79]  arXiv:2107.09776 [pdf, other]

Title: Anti-Integrability for 3-Dimensional Quadratic Maps

Authors: Amanda E Hampton, James D Meiss

Comments: 28 pages, 34 figures

Journal-ref: SIAM J. Appl. Dyn. Sys. 21(1): 650-675 (2022)

Subjects: Dynamical Systems (math.DS)

[80]  arXiv:2107.09844 [pdf, ps, other]

Title: Historic and physical wandering domains for wild blender-horseshoes

Authors: Shin Kiriki, Yushi Nakano, Teruhiko Soma

Comments: 26 pages, 6 figures

Journal-ref: Nonlinearity 36 (2023) 4007--4033

Subjects: Dynamical Systems (math.DS)

[81]  arXiv:2107.09941 [pdf, other]

Title: Breakdown of homoclinic orbits to L3 in the RPC3BP (II). An asymptotic formula

Authors: Inmaculada Baldomá, Mar Giralt, Marcel Guardia

Comments: 66 pages

Subjects: Dynamical Systems (math.DS)

[82]  arXiv:2107.09942 [pdf, other]

Title: Breakdown of homoclinic orbits to L3 in the RPC3BP (I). Complex singularities and the inner equation

Authors: Inmaculada Baldomá, Mar Giralt, Marcel Guardia

Comments: 61 pages

Subjects: Dynamical Systems (math.DS)

[83]  arXiv:2107.10158 [pdf, other]

Title: Optimal Reaction Coordinates: Variational Characterization and Sparse Computation

Authors: Andreas Bittracher, Mattes Mollenhauer, Péter Koltai, Christof Schütte

Subjects: Dynamical Systems (math.DS)

[84]  arXiv:2107.10347 [pdf, ps, other]

Title: Parametrized family of pseudo-arc attractors: physical measures and prime end rotations

Authors: Jernej Činč, Piotr Oprocha

Comments: Updated version accepted for publication in Proceedings of the London Mathematical Society

Subjects: Dynamical Systems (math.DS); General Topology (math.GN)

[85]  arXiv:2107.10362 [pdf, other]

Title: An improved upper bound on the number of billiard ball collisions

Authors: Krzysztof Burdzy

Comments: arXiv admin note: text overlap with arXiv:1804.04650

Subjects: Dynamical Systems (math.DS)

[86]  arXiv:2107.10745 [pdf, ps, other]

Title: Regular Foliations and Trace Divisors

Authors: Paulo Sad

Subjects: Dynamical Systems (math.DS)

[87]  arXiv:2107.10940 [pdf, other]

Title: Epidemic Conditions with Temporary Link Deactivation on a Network SIR Disease Model

Authors: Hannah Scanlon, John Gemmer

Subjects: Dynamical Systems (math.DS); Physics and Society (physics.soc-ph); Populations and Evolution (q-bio.PE)

[88]  arXiv:2107.11248 [pdf, ps, other]

Title: A multidimensional solution to additive homological equations

Authors: Aleksei F. Ber, Matthijs J. Borst, Sander J. Borst, Fedor A. Sukochev

Comments: 51 pages

Subjects: Dynamical Systems (math.DS)

[89]  arXiv:2107.11363 [pdf, other]

Title: The generic multiplicity-induced-dominancy property from retarded to neutral delay-differential equations: When delay-systems characteristics meet the zeros of Kummer functions

Authors: Islam Boussaada, Guilherme Mazanti, Silviu-Iulian Niculescu

Journal-ref: C. R. Math. Acad. Sci. Paris, 360:349-369, 2022

Subjects: Dynamical Systems (math.DS); Optimization and Control (math.OC)

[90]  arXiv:2107.11438 [pdf, ps, other]

Title: Explicit Solutions and Stability Properties of Homogeneous Polynomial Dynamical Systems

Authors: Can Chen

Comments: 8 pages, 4 figures

Journal-ref: IEEE Transactions on Automatic Control 68 (8), pp. 4962 - 4969, 2023

Subjects: Dynamical Systems (math.DS); Systems and Control (eess.SY); Optimization and Control (math.OC)

[91]  arXiv:2107.11581 [pdf, ps, other]

Title: A short introduction to translation surfaces, Veech surfaces, and Teichmueller dynamics

Authors: Daniel Massart

Comments: The final version of this paper will appear in the book: Surveys in Geometry I, ed. A. Papadopoulos, Springer Nature, 2021

Subjects: Dynamical Systems (math.DS)

[92]  arXiv:2107.11745 [pdf, other]

Title: Horizon saddle connections and Morse-Smale dynamics of dilation surfaces

Authors: Guillaume Tahar

Comments: 13 pages, 4 figures

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

[93]  arXiv:2107.11805 [pdf, other]

Title: Polynomial decay of correlations for nonpositively curved surfaces

Authors: Yuri Lima, Carlos Matheus, Ian Melbourne

Comments: 52 pages, 9 figures. Added an appendix and fixed some typos

Subjects: Dynamical Systems (math.DS); Differential Geometry (math.DG)

[94]  arXiv:2107.11860 [pdf, ps, other]

Title: A class of solutions of the asymmetric May-Leonard model

Authors: Francesco Calogero, Farrin Payandeh

Comments: 3 pages

Subjects: Dynamical Systems (math.DS); Exactly Solvable and Integrable Systems (nlin.SI)

[95]  arXiv:2107.11940 [pdf, other]

Title: A Closed Graph Theorem for hyperbolic iterated function systems

Authors: Alexander Mundey

Comments: 8 pages, 1 figure

Subjects: Dynamical Systems (math.DS)

[96]  arXiv:2107.11962 [pdf, ps, other]

Title: No hyperbolic sets in J_\infty for infinitely renormalizable quadratic polynomials

Authors: Genadi Levin, Feliks Przytycki

Comments: Final version: extended, a corollary added, and the title changed. To appear

Subjects: Dynamical Systems (math.DS)

[97]  arXiv:2107.12004 [pdf, ps, other]

Title: Loops of Infinite Order and Toric Foliations

Authors: Konstantinos Efstathiou, Bohuan Lin, Holger Waalkens

Comments: 18 pages

Subjects: Dynamical Systems (math.DS)

[98]  arXiv:2107.12043 [pdf, ps, other]

Title: Injectivity of non-singular planar maps with one convex component

Authors: Marco Sabatini

Subjects: Dynamical Systems (math.DS)

[99]  arXiv:2107.12047 [pdf, ps, other]

Title: Expansive actions with specification of sofic groups, strong topological Markov property, and surjunctivity

Authors: Tullio Ceccherini-Silberstein, Michel Coornaert, Hanfeng Li

Comments: This is a slightly revised and updated version

Journal-ref: J. Funct. Anal. 286 (2024), no. 9, Paper No. 110376

Subjects: Dynamical Systems (math.DS); Group Theory (math.GR)

[100]  arXiv:2107.12077 [pdf, ps, other]

Title: Analytic and algebraic conditions for bifurcations of homoclinic orbits II: Reversible systems

Authors: Kazuyuki Yagasaki

Subjects: Dynamical Systems (math.DS)