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Mathematical and Computer Modelling of Dynamical Systems Volume 12 Issue 6

Subject Areas: Computer Science Applications
Publisher: Taylor & Francis - Taylor & Francis
ISSN: 1744-5051
SJR: 34

Open Access

Journal Article

Neural net versus classical models for the detection and localization of leaks in pipelines

Matko, D.; Geiger, G.; Werner, T.

2006 Mathematical and Computer Modelling of Dynamical Systems

doi:10.1080/13873950500068526

Four models of a pipeline are compared in the paper: a nonlinear distributed-parameter model, a linear distributed-parameter model, a simplified lumped-parameter model and an extended neural-net-based model. The transcendental transfer function of the linearized model is obtained by a Laplace...
Open Access

Journal Article

Modelling and hierarchical diagnosis of timed discrete-event systems

Schullerus, Gernot; Supavatanakul, Peerasan; Krebs, Volker; Lunze, Jan

2006 Mathematical and Computer Modelling of Dynamical Systems

doi:10.1080/13873950500241479

A new diagnostic method for hierarchically structured discrete-event systems is presented. The efficiency of this method results from the fact that the complexity of the diagnostic task is reduced by first detecting a faulty component using a coarse process model on a high level of abstraction,...
Open Access

Journal Article

Modelling and simulation of a sphere rolling on the inside of a rough vertical cylinder

Blajer, W.; Kołodziejczyk, K.

2006 Mathematical and Computer Modelling of Dynamical Systems

doi:10.1080/13873950500098747

A classical problem of nonholonomic system dynamics—the motion of a sphere on the inside of a rough vertical cylinder—is extended to rolling friction. The case study is modelled in independent coordinates. Due to the nonholonomic constraints imposed on the sphere, the governing equations arise...
Open Access

Journal Article

A mathematical model of the systemic circulatory system with logistically defined nervous system regulatory mechanisms

Stevens, Scott A.; Lakin, William D.

2006 Mathematical and Computer Modelling of Dynamical Systems

doi:10.1080/13873950500064343

A mathematical model is developed that accurately describes the pressure, volume and flow dynamics of the systemic circulatory system over the full physiological range of human pressures and volumes. At the heart of this model are mathematical representations for the autonomic and central...
Open Access

Journal Article

Stability in predator – prey models and discretization of a modified Volterra – Lotka model

Krabs, W.

2006 Mathematical and Computer Modelling of Dynamical Systems

doi:10.1080/13873950500066967

We consider n ⩾ 2 populations of animals that are living in mutual predator – prey relations or are pairwise neutral to each other. We assume the temporal development of the population densities to be described by a system of differential equations which has an equilibrium state solution. We...
Open Access

Journal Article

Algebraic modelling of linear systems by means of Walsh functions

Konigorski, Ulrich

2006 Mathematical and Computer Modelling of Dynamical Systems

doi:10.1080/13873950500067064

In this paper a new algebraic representation of linear time-variant dynamic systems is developed. It is shown that Walsh functions can be used to provide such a representation up to any desired precision. Due to the orthogonality of the Walsh functions, the required precision only depends on the...

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