A methodological framework for analyzing and modeling of multivariate data is introduced. In a first step, a cluster method extracts data segments of quasi-stationary states. A novel cluster criterion for segment borders is introduced, which is independent of the number of clusters. Its assessment reveals additional robustness towards initial conditions. A subsequent dynamical systems based mod...

In the analysis of criminal behavior, a combination of biological, psychological and social aspects may be taken into account. Dynamical modeling methods developed in recent years often address biological, psychological or social dynamical systems separately. This paper makes the first step in the development of an agent-based modeling approach for criminal behavior in which these aspects are i...

We present a modeling framework for dynamical and bursty contact networks made of agents in social interaction. We consider agents' behavior at short time scales in which the contact network is formed by disconnected cliques of different sizes. At each time a random agent can make a transition from being isolated to being part of a group or vice versa. Different distributions of contact times a...

s of Talks Keynote Speeches Spatiotemporal dynamics in ecological systems Speaker: Alan Hastings Affiliation: Department of Environmental Science and Policy, University of California, Davis Abstract I will discuss some of the complexities involved in spatiotemporal dynamics in ecological systems, focusing on two aspects: the role of stochasticity in spatial spread and the dynamics of regime shi...

We describe a three-dimensional dynamical system, which is obtained as a pseudo-spectral approximation to a free boundary problem modeling solid combustion and rapid solidification, and is capable of generating its major dynamical patterns. These patterns include a Hopf bifurcation followed by a sequence of secondary period doubling and a transition to chaos, reverse sequences, and sequences fo...

This paper presents a complete dynamic modeling of a membrane distillation process. The model contains two consistent dynamic models. A 2D advection-diffusion equation for modeling the whole process and a modified heat equation for modeling the membrane itself. The complete model describes the temperature diffusion phenomenon across the feed, membrane, permeate containers and boundary layers of...

In this work, an approach for the development of adaptive fuzzy models is presented. The approach allows to incorporate the system dynamics into the fuzzy membership functions which are defined in terms of a dynamic function with adjustable parameters. These parameters are adapted using a gradient descent based algorithm. Some application examples to illustrate the performance of the dynamical ...

NGC 2974 is a nearby field elliptical galaxy classified as E4 with detected HI and Hα gas apparently distributed in a disk (Kim et al. 1988; Buson et al. 1993). An earlier study by Cinzano & van der Marel (1994) suggested the galaxy harbors an embedded stellar disk not visible in the photometry. The galaxy was observed with the integral-field spectrograph SAURON (Bacon et al. 2001) mounted on t...

Recent publications have presented many successful usages of elements from information theory in adaptive systems training. Errorentropy has been proven to outperform mean squared error as a cost function in many artificially generated data sets, but still few applications to real world data have been published. In this paper, we design a neural network trained with error-entropy minimization c...

Interaction between Transmission Control Protocol (TCP) and Random Early Detection (RED) gateways can be captured using dynamical models. The communication network is viewed as a discrete-time feedback control system where TCP adjusts its window size depending on whether or not it has detected a packet loss during the previous round trip time (RTT) interval. In this article, we describe a discr...