W odzis aw Duch and Norbert Jankowski In this paper relation between complex systems information theory and the simplest models of neural networks are elucidated Two di erent types of complex systems are distinguished new complexity measure based on the graph theory de ned hierarchy of the correlation matrices introduced and connection with the correlation matrix memories and other types of neu...

The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. The subject of representation theory in complex rank goes back to the papers [DM, De1]. Namely, these papers introduce Karoubian tensor categories Rep(GL t) ([DM, De1]), Rep(O t), Rep(Sp 2t), t ∈ C ([De1]), which are interpolations of the tensor categories of algebraic represen...

In events that are composed by many activities, there is a problem that involves retrieve and management the information of visitors that are visiting the activities. This management is crucial to find some activities that are drawing attention of visitors; identify an ideal positioning for activities; which path is more frequented by visitors. In this work, these features are studied using Com...

User workarounds are a growing problem in many complex system implementations including healthcare settings. Anecdotal evidence from the healthcare informatics as well as the information systems (IS) fields suggest that many system users are employing workarounds in order to bypass the system’s functionality. Yet, little theory exists on the topic. This study proposes a theoretical model to inv...

In the theory of traffic flows the main characteristics are: intensity, speed, and density.  They make it possible to use hydrodynamic models. In connection with the development of modern highways and road networks, traffic flows behavior is becoming more and more complex and diverse. In particular, the B.Kerner studies have shown that the laminar solution of hydrodynamic models is poorly corre...

We study complex dynamics of a cutting process, a recently developed frictional model of cutting process in [Rusinek et al., 2014] to gain better insight into the mechanics of frictional chatter and the factors affecting it. The new model takes into account the forces acting on the tool face as well as on the tool flank. We first present nonlinear dynamic behavior using bifurcation diagrams for...

This paper describes a systematic procedure to build reduced order analytical models for a design of decentralized controllers for large scale interconnected dynamical systems. The design method employs Davison techniques to affect decoupling of the interconnections into its subsystems components which is done by using the most dominant eigenvalues and the most influent inputs in each subsystem...

This research has two aims: (1) to bridge a gap in blended learning research — the lack of a systems approach to the understanding of blended learning research and practice, and (2) to promote a more comprehensive understanding of what has been achieved and what needs to be achieved in blended learning research and practice. To achieve these aims, we first assess the strengths and limitations i...

In this paper a brief overview of hybrid control systems is given and an introduction to several approaches in hybrid systems research with an extended list of references is presented.