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In this paper, we deal with the part of Fractal Theory related to finite families of (weak) contractions, called iterated function systems (IFS, herein). An attractor is a compact set which remains invariant for such a family. Thus, we…

动力系统 · 数学 2016-06-29 Magdalena Nowak , Manuel Fernandez-Martinez

In quenched disordered systems, the existence of ordering is generally believed to be only possible in the weak disorder regime (disregarding models of spin-glass type). In particular, sufficiently large random fields is expected to…

数学物理 · 物理学 2025-04-17 Andrew C. Yuan , Nick Crawford

Based on both qualitative method and numerical tests for a series of particular cases in the parameter region, a=1, 0<b <1, it is shown that the three-dimensional system (2) may have a series of interesting phenomena on the non-trivial…

动力系统 · 数学 2013-12-30 Keying Guan

The main objective of this article is to study the three-dimensional Rayleigh-Benard convection in a rectangular domain from a pattern formation perspective. It is well known that as the Rayleigh number crosses a critical threshold, the…

斑图形成与孤子 · 物理学 2011-09-27 Taylan Sengul , Shouhong Wang

We investigate the localization properties of gapped periodic quantum systems, modeled by a periodic or covariant family of projectors, as e.g. the orthogonal projectors on the occupied orbitals at fixed crystal momentum for a gas of…

介观与纳米尺度物理 · 物理学 2017-01-02 D. Monaco , G. Panati , A. Pisante , S. Teufel

In this paper the attractors synthesis algorithm for a class of dissipative dynamical systems with hyperbolic equilibria, presented in [1], is applied to generate any attractor of the Rikitake system. By switching periodically, or even…

混沌动力学 · 物理学 2015-03-18 M. -F. Danca , S. Codreanu

We consider a general polling model with $N$ stations. The stations are served exhaustively and in cyclic order. Once a station queue falls empty, the server does not immediately switch to the next station. Rather, it waits at the station…

概率论 · 数学 2010-09-01 Frank Aurzada , Sergej Beck , Michael Scheutzow

Motivated by statistical practice, category theory terminology is used to introduce Borel data structures and study exchangeability in an abstract framework. A generalization of de Finetti's theorem is shown and natural transformations are…

概率论 · 数学 2022-08-24 Julian Gerstenberg

We study a token-based central queue with multiple customer types. Customers of each type arrive according to a Poisson process and have an associated set of compatible tokens. Customers may only receive service when they have claimed a…

概率论 · 数学 2019-02-07 U. Ayesta , T. Bodas , J. L. Dorsman , I. M. Verloop

In this paper we study the Poisson Hypothesis, which is a device to analyze approximately the behavior of large queueing networks. We prove it in some simple limiting cases. We show in particular that the corresponding dynamical system,…

概率论 · 数学 2007-05-23 A. Rybko , S. Shlosman

We investigate iterated function systems (IFS) that randomly alternate between two non-identical one-dimensional maps. Our primary focus is on finite invariant sets exhibiting ``toss-and-catch'' dynamics, in which trajectories alternate…

动力系统 · 数学 2026-04-16 Hibiki Kato , Tamotsu Onozaki , Yoshitaka Saiki , Yasumasa Sugita

The existence of a global attractor is proved for the skew-product semiflow induced by almost periodic Nicholson systems and new conditions are given for the existence of a unique almost periodic positive solution which exponentially…

动力系统 · 数学 2024-02-01 Ana M. Sanz , Víctor M. Villarragut

We identify the conditions under which a stochastic driving inducing energy changes on a system coupled to a thermal bath can be treated as a work source. When these conditions are met, the work statistics satisfies the Crooks fluctuation…

统计力学 · 物理学 2015-06-18 Gatien Verley , Christian Van den Broeck , Massimiliano Esposito

Cross-sectional strategies are a classical and popular trading style, with recent high performing variants incorporating sophisticated neural architectures. While these strategies have been applied successfully to data-rich settings…

交易与市场微观结构 · 定量金融 2023-02-22 Daniel Poh , Stephen Roberts , Stefan Zohren

We consider finite approximations of a fractal generated by an iterated function system of affine transformations on $\mathbb{R}^d$ as a discrete set of data points. Considering a signal supported on this finite approximation, we propose a…

泛函分析 · 数学 2016-07-14 Calvin Hotchkiss , Eric S. Weber

We report conditions on a switching signal that guarantee that solutions of a switched linear systems converge asymptotically to zero. These conditions are apply to continuous, discrete-time and hybrid switched linear systems, both those…

最优化与控制 · 数学 2014-02-11 Jesus San Martin , Anthony G. O'Farrell

This paper considers the problem of obtaining bounded time-average expected queue sizes in a single-queue system with a partial-feedback structure. Time is slotted; in slot $t$ the transmitter chooses a rate $V(t)$ from a continuous…

系统与控制 · 电气工程与系统科学 2026-02-06 Mevan Wijewardena , Kamiar Asgari , Michael J. Neely

We present and analyze a simple and general scheme to build a churn (fault)-tolerant structured Peer-to-Peer (P2P) network. Our scheme shows how to "convert" a static network into a dynamic distributed hash table(DHT)-based P2P network such…

分布式、并行与集群计算 · 计算机科学 2015-08-17 Tim Jacobs , Gopal Pandurangan

Dissipative mechanical systems on the torus with a friction that is proportional to the velocity are modeled by conformally symplectic maps on the annulus, which are maps that transport the symplectic form into a multiple of itself (with a…

动力系统 · 数学 2021-02-03 Renato Calleja , Marta Canadell , Alex Haro

The paper studies closed queueing networks containing a server station and $k$ client stations. The server station is an infinite server queueing system, and client stations are single-server queueing systems with autonomous service, i.e.…

概率论 · 数学 2008-01-24 Vyacheslav M. Abramov