arXiv math.DS Dynamical Systems
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Unofficial bot by @vela with https://t.co/qRyAuN2QxC. @mathACb @mathAGb @mathAPb @mathATb @mathCAbot @mathCObot @mathCTbot @mathCVb @mathDGb @mathFAbot ...
Joined March 2013
[2025-09-02 Tue (UTC), no new articles found for mathDS Dynamical Systems].
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Kirthana Rajasekar: Negative Lyapunov exponent of circle maps forced by expanding circle endomorphisms
arxiv.org
We study maps on the torus $\mathbb{T}^2$ that are of the form $F(x,y) = (bx, f_x(y))$, where $b\geq 2$ is an integer. We establish an open class of $C^1$-maps, with $f_x(y)$ that are typically...
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Qirui He, Rui Wang, Matthew J. Alexander, Keegan J. Moore: Reduced-Order Modeling of Bolt Loosening: Application to a Pair of Oscillators Under Transverse Shock Excitation
arxiv.org
The safety and integrity of engineered structures are critically dependent on maintaining sufficient preload in their bolted joints. This preload can be dynamically lost due to sustained...
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Allen G Hart: Generic Embeddings and Isometric Embeddings in Reservoir Computers
arxiv.org
We prove that a generic reservoir system admits a generalized synchronization that is a topological embedding of the input system's attractor. We also prove that for sufficiently high reservoir...
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Paul Glendinning, Cl\'ement Hege: The boundary of chaos for piecewise smooth maps and the boundary of positive Hausdorff dimension for survivor sets of open maps
arxiv.org
We describe the boundary of chaos separating regions of parameter space with positive topological entropy from those with zero topological entropy for a class of piecewise smooth maps. This...
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Tobias Fritz: Dynamics from iterated averaging
arxiv.org
We prove that for a standard Lebesgue space $X$, the strong operator closure of the semigroup generated by conditional expectations on $L^\infty(X)$ contains the group of measure-preserving...
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Xiaoxue Zhao, Xiang Zhou: Morse Index Classification and Landscape of Kuramoto System for Hebbian-based Binary Pattern Recognition
arxiv.org
This study examines the Kuramoto model with a Hebbian learning rule and second-order Fourier coupling for binary pattern recognition. The system stores memorized binary patterns as stable critical...
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Haoyu Yin, Xudong Chen, Bruno Sinopoli: On Zero-sum Game Representation for Replicator Dynamics
arxiv.org
Replicator dynamics have widely been used in evolutionary game theory to model how strategy frequencies evolve over time in large populations. The so-called payoff matrix encodes the pairwise...
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[2025-09-01 Mon (UTC), 7 new articles found for mathDS Dynamical Systems].
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Gacsi, Cohen, Molnar: Activated Backstepping with Control Barrier Functions for the .
arxiv.org
This paper introduces a novel safety-critical control method through the synthesis of control barrier functions (CBFs) for systems with high-relative-degree safety constraints. By extending the...
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Junjie Miao, Tianrui Wang: Dimensions and dimension spectra of Non-autonomous iterated fu.
arxiv.org
Non-autonomous iterated function systems are a generalization of iterated function systems. If the contractions in the system are conformal mappings, it is called a non-autonomous conformal...
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Tan, Small, Algar: Do triangles matter? Replicating hypergraph disease dynamics w.
arxiv.org
Disease spreading models such as the ubiquitous SIS compartmental model and its numerous variants are widely used to understand and predict the behaviour of a given epidemic or information...
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[2025-08-29 Fri (UTC), 3 new articles found for mathDS Dynamical Systems].
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Renato Huzak, et al.: Fractal analysis of slow-fast and regular systems: A survey of.
arxiv.org
We survey recent developments in fractal analysis of regular and slow-fast dynamical systems using Minkowski dimension. Our focus is on spiral trajectories near monodromic limit periodic sets in...
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Y. O. Tijani, et al.: Disrupting the scammer lifecycle: A dynamically-consistent num.
arxiv.org
Online deception and financial scams represent a pervasive threat in the digital age, yet a quantitative analysis and understanding of their propagation is lacking. This study introduces a novel...
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V\'it Pr\r{u}\v{s}a: Thermodynamics and stability of non-equilibrium steady states .
arxiv.org
We carefully go through all the calculations necessary for the construction of a Lyapunov like functional for the nonlinear stability analysis of steady-states in thermodynamically closed/open...
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Miyauchi, Ikeda, Kawahara: Generalized Stochastic Resilience for Early Warning Signals Ba.
arxiv.org
Developing methods for detecting tipping phenomena at an early stage is an important problem in various fields such as ecology, medicine, and economics. A tipping phenomenon is characterized by a...
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Yunping Jiang, Chenxi Wu: Ruelle's zeta function for non-Archimedean rational maps
arxiv.org
We studied the transfer operators defined over $\mathbb{C}_p$-valued analytic functions for subhyperbolic rational maps on $\mathbb{Q}_p$, and showed that the corresponding Ruelle's zeta functions...
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Fernando Al Assal, et al.: Slope gap distribution of the double heptagon and an algorithm.
arxiv.org
In this paper, we study the distribution of renormalized gaps between slopes of saddle connections on translation surfaces. Specifically, we describe a procedure for finding the "winning holonomy...
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[2025-08-28 Thu (UTC), 6 new articles found for mathDS Dynamical Systems].
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