scholarly journals Emergent Behaviors of Thermodynamic Kuramoto Ensemble on a Regular Ring Lattice

2020 ◽  
Vol 181 (3) ◽  
pp. 917-943 ◽  
Author(s):  
Seung-Yeal Ha ◽  
Hansol Park ◽  
Tommaso Ruggeri ◽  
Woojoo Shim
Keyword(s):  
Regular Ring ◽  
Emergent Behaviors

scholarly journals A Design of the Resilient Enterprise: A Reference Architecture for Emergent Behaviors Control

Sensors ◽  
2020 ◽  
Vol 20 (22) ◽  
pp. 6672
Author(s):  
Rob Bemthuis ◽  
Maria-Eugenia Iacob ◽  
Paul Havinga
Keyword(s):  
Enterprise Architecture ◽  
Business Processes ◽  
Control Mechanisms ◽  
Reference Architecture ◽  
Systems Of Systems ◽  
Supply Chain Resilience ◽  
Physical Systems ◽  
Technological Advances ◽  
Emergent Behaviors

The sooner disruptive emergent behaviors are detected, the sooner preventive measures can be taken to ensure the resilience of business processes execution. Therefore, organizations need to prepare for emergent behaviors by embedding corrective control mechanisms, which help coordinate organization-wide behavior (and goals) with the behavior of local autonomous entities. Ongoing technological advances, brought by the Industry 4.0 and cyber-physical systems of systems paradigms, can support integration within complex enterprises, such as supply chains. In this paper, we propose a reference enterprise architecture for the detection and monitoring of emergent behaviors in enterprises. We focus on addressing the need for an adequate reaction to disruptions. Based on a systematic review of the literature on the topic of current architectural designs for understanding emergent behaviors, we distill architectural requirements. Our architecture is a hybrid as it combines distributed autonomous business logic (expressed in terms of simple business rules) and some central control mechanisms. We exemplify the instantiation and use of this architecture by means of a proof-of-concept implementation, using a multimodal logistics case study. The obtained results provide a basis for achieving supply chain resilience “by design”, i.e., through the design of coordination mechanisms that are well equipped to absorb and compensate for the effects of emergent disruptive behaviors.

Analysis of Lattice Single Layer Cylindrical Structures

1987 ◽  
Vol 2 (2) ◽  
pp. 87-91 ◽  
Author(s):  
Istvan HegedüS
Keyword(s):  
Stress Distribution ◽  
Matrix Method ◽  
Regular Ring ◽  
Lattice Structure ◽  
Single Layer ◽  
Cylindrical Structures ◽  
Lattice Construction

A matrix method is presented for the calculation of bar forces in a single layer lattice cylinder composed of regular ring polygons and symmetrically arranged bracing bars. Substantial differences occur between the stress distribution in the lattice structure and that of the membrane cylinder under the same load. Therefore, a membrane cylinder cannot be considered as a replacement continuum for the lattice construction. The purpose of the paper is to draw attention to the danger in the utilisation, without due caution, of this analogy.

scholarly journals RINGS OF DEFINABLE SCALARS OF VERMA MODULES

2007 ◽  
Vol 06 (05) ◽  
pp. 779-787 ◽  
Author(s):  
SONIA L'INNOCENTE ◽  
MIKE PREST
Keyword(s):  
Lie Algebra ◽  
Model Theory ◽  
Regular Ring ◽  
Verma Module ◽  
Closed Field ◽  
Verma Modules ◽  
Von Neumann Regular Ring ◽  
Von Neumann ◽  
Canonical Map ◽  
Von Neumann Regular

Let M be a Verma module over the Lie algebra, sl 2(k), of trace zero 2 × 2 matrices over the algebraically closed field k. We show that the ring, RM, of definable scalars of M is a von Neumann regular ring and that the canonical map from U( sl 2(k)) to RM is an epimorphism of rings. We also describe the Ziegler closure of M. The proofs make use of ideas from the model theory of modules.

scholarly journals Emergent behaviors of discrete Lohe aggregation flows

2022 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Hyungjun Choi ◽  
Seung-Yeal Ha ◽  
Hansol Park
Keyword(s):  
Matrix Model ◽  
Unit Sphere ◽  
Splitting Method ◽  
Discrete Models ◽  
Asymptotic State ◽  
Sphere Model ◽  
State Aggregation ◽  
Strang Splitting ◽  
Complete State ◽  
Emergent Behaviors

<p style='text-indent:20px;'>The Lohe sphere model and the Lohe matrix model are prototype continuous aggregation models on the unit sphere and the unitary group, respectively. These models have been extensively investigated in recent literature. In this paper, we propose several discrete counterparts for the continuous Lohe type aggregation models and study their emergent behaviors using the Lyapunov function method. For suitable discretization of the Lohe sphere model, we employ a scheme consisting of two steps. In the first step, we solve the first-order forward Euler scheme, and in the second step, we project the intermediate state onto the unit sphere. For this discrete model, we present a sufficient framework leading to the complete state aggregation in terms of system parameters and initial data. For the discretization of the Lohe matrix model, we use the Lie group integrator method, Lie-Trotter splitting method and Strang splitting method to propose three discrete models. For these models, we also provide several analytical frameworks leading to complete state aggregation and asymptotic state-locking.</p>

scholarly journals Commutative von Neumann regular rings are 1-Gröbner

2021 ◽  
pp. 30-30
Author(s):  
Zoran Petrovic ◽  
Maja Roslavcev
Keyword(s):  
Regular Ring ◽  
Finitely Generated ◽  
Von Neumann Regular Ring ◽  
Von Neumann ◽  
Von Neumann Regular Rings ◽  
Von Neumann Regular ◽  
Ring Of Polynomials ◽  
Bner Basis ◽  
Regular Rings

Let R be a commutative von Neumann regular ring. We show that every finitely generated ideal I in the ring of polynomials R[X] has a strong Gr?bner basis. We prove this result using only the defining property of a von Neumann regular ring.

RINGS OVER WHICH COEFFICIENTS OF NILPOTENT POLYNOMIALS ARE NILPOTENT

2011 ◽  
Vol 21 (05) ◽  
pp. 745-762 ◽  
Author(s):  
TAI KEUN KWAK ◽  
YANG LEE
Keyword(s):  
Polynomial Ring ◽  
Regular Ring ◽  
Von Neumann Regular Ring ◽  
Von Neumann ◽  
Nilpotent Elements ◽  
Von Neumann Regular ◽  
Armendariz Rings ◽  
Ring Extensions ◽  
Nil Ring

Antoine studied conditions which are connected to the question of Amitsur of whether or not a polynomial ring over a nil ring is nil, observing the structure of nilpotent elements in Armendariz rings and introducing the notion of nil-Armendariz rings. The class of nil-Armendariz rings contains Armendariz rings and NI rings. We continue the study of nil-Armendariz rings, concentrating on the structure of rings over which coefficients of nilpotent polynomials are nilpotent. In the procedure we introduce the notion of CN-rings that is a generalization of nil-Armendariz rings. We first construct a CN-ring but not nil-Armendariz. This may be a base on which Antoine's theory can be applied and elaborated. We investigate basic ring theoretic properties of CN-rings, and observe various kinds of CN-rings including ordinary ring extensions. It is shown that a ring R is CN if and only if R is nil-Armendariz if and only if R is Armendariz if and only if R is reduced when R is a von Neumann regular ring.

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