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This paper focuses on the attitude motion of spacecraft systems featuring asymmetric spacecraft platforms and unbalanced rotors. Through perturbation expansion, the spacecraft dynamic equation is simplified as a linear periodically…

动力系统 · 数学 2025-08-07 Jingyuan Wu , Wenhao Li , Guanhua Feng

Quadrupedal robots hold promising potential for applications in navigating cluttered environments with resilience akin to their animal counterparts. However, their floating base configuration makes them vulnerable to real-world…

机器人学 · 计算机科学 2026-02-27 I Made Aswin Nahrendra , Byeongho Yu , Minho Oh , Dongkyu Lee , Seunghyun Lee , Hyeonwoo Lee , Hyungtae Lim , Hyun Myung

The automorphism group of a one dimensional shift space over a finite alphabet exhibits different types of behavior: for a large class with positive entropy, it contains a rich collection of subgroups, while for many shifts of zero entropy,…

动力系统 · 数学 2017-08-11 Van Cyr , John Franks , Bryna Kra

We discuss the nature of the two-stage percolation transition on the enhanced binary tree in order to explain the disagreement in the estimation of the second transition probability between the one in our recent paper (J. Phys. A:Math.…

统计力学 · 物理学 2009-11-06 Tomoaki Nogawa , Takehisa Hasegawa

By event-driven molecular dynamics simulations we investigate magneto-transport in a two-dimensional model with randomly distributed scatterers close to the field-induced localization transition. This transition is generated by percolating…

介观与纳米尺度物理 · 物理学 2015-12-14 Walter Schirmacher , Benedikt Fuchs , Felix Höfling , Thomas Franosch

We study the properties of entanglement in two-dimensional topologically ordered phases of matter. Such phases support anyons, quasiparticles with exotic exchange statistics. The emergent nonlocal state spaces of anyonic systems admit a…

量子物理 · 物理学 2017-10-17 Parsa Bonderson , Christina Knapp , Kaushal Patel

We introduce a two-dimensional generalisation of the quasiperiodic Aubry-Andr\'e model. Even though this model exhibits the same duality relation as the one-dimensional version, its localisation properties are found to be substantially more…

无序系统与神经网络 · 物理学 2020-02-20 Attila Szabó , Ulrich Schneider

This is the second in a series of papers that construct minimal surfaces by gluing singly periodic Karcher--Scherk saddle towers along their wings. This paper aims to construct singly periodic minimal surfaces with Scherk ends. As in the…

微分几何 · 数学 2024-12-20 Hao Chen

The paper discusses the conditions for the existence of fixed points of multivalued mappings that are not based on the linear structure of the set. The descriptions for the sets of fixed points for mappings with closed graph in compact…

一般拓扑 · 数学 2016-02-23 Dmitrii Serkov

We consider the problem of a rigid surface moving over a flat plane. The surfaces are separated by a small gap filled by a lubricant fluid. The relative position of the surfaces is unknown except for the initial time $t=0$. The total load…

偏微分方程分析 · 数学 2009-02-26 Ionel Sorin Ciuperca , José Ignacio Tello

In this article an hierarchy of terms in the expansion of the multipolar Hamiltonian for non relativistic moving atoms in QED is considered. The particular case of neutral composite systems of 2,3 and 4 particles is considered. The proposed…

数学物理 · 物理学 2007-05-23 Abdelbasset Felhi , Jean-Claude Guillot , Jaques Robert

The electromigration-induced shape evolution of two-dimensional vacancy islands on a crystal surface is studied using a continuum approach. We consider the regime where mass transport is restricted to terrace diffusion in the interior of…

材料科学 · 物理学 2015-06-25 Frank Hausser , Philipp Kuhn , Joachim Krug , Axel Voigt

This paper focuses on studying a model for molecular motors responsible for the bending of the axoneme in the flagella of microorganisms. The model is a coupled system of partial differential equations inspired by J\"ulicher et al. or…

Non-Hermitian quasicrystals possess PT and metal-insulator transitions induced by gain and loss or nonreciprocal effects. In this work, we uncover the nature of localization transitions in a generalized Aubry-Andre-Harper model with…

无序系统与神经网络 · 物理学 2021-08-20 Longwen Zhou , Wenqian Han

We develop a bicategorical setup in which one can speak about adjoint 1-morphisms even in the absence of genuine identity 1-morphisms. We also investigate which part of 2-representation theory of 2-categories extends to this new setup.

范畴论 · 数学 2020-03-11 Hankyung Ko , Volodymyr Mazorchuk , Xiaoting Zhang

This paper extends the results of "Operads and Algebraic Homotopy" in giving algebraic invariants for the stable homotopy type of a pointed simply-connected simplicial set.

代数拓扑 · 数学 2007-05-23 Justin R. Smith

We consider Anderson localization and the associated metal-insulator transition for non-interacting fermions in D = 1, 2 space dimensions in the presence of spatially correlated on-site random potentials. To assess the nature of the…

无序系统与神经网络 · 物理学 2014-08-05 Eric C. Andrade , Mark Steudtner , Matthias Vojta

There are basically two interesting breeds of $E_2$ operads, those that detect loop spaces and those that solve Deligne's conjecture. The former deformation retract to Milgram's space obtained by gluing together permutahedra at their faces.…

代数拓扑 · 数学 2017-06-02 Ralph M. Kaufmann , Yongheng Zhang

We apply Kadanoff's theory of marginal deformations of conformal field theories to twistfield deformations of Z_2 orbifold models in K3 moduli space. These deformations lead away from the Z_2 orbifold sub-moduli-space and hence help to…

高能物理 - 理论 · 物理学 2009-11-07 H. Eberle

We study limits in 2-categories whose objects are categories with extra structure and whose morphisms are functors preserving the structure only up to a coherent comparison map, which may or may not be required to be invertible. This is…

范畴论 · 数学 2012-02-20 Stephen Lack , Michael Shulman
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