05 Fakultät Informatik, Elektrotechnik und Informationstechnik
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Item Open Access The AnT project : on the simulation and analysis of dynamical systems(2004) Schanz, Michael; Levi, Paul (Prof. Dr. rer. nat. habil.)In this work, a the software project AnT is presented. This project is about a simulation and analysis tool for dynamical systems, whereby it was aimed right from the start, that not only a broad spectrum of dynamical systems is supported, but many investigation methods as well. This thesis is structured as follows: In chapter one (Introduction) a motivation and an overview about the main topics and the involved scientific disciplines is given and among others, the notions of simulation and analysis and their prerequisites are defined and described. The modeling and especially the mathematical modeling are considered in more detail as well as the tasks of interactive and non-interactive simulation. Chapter two (The AnT project) provides an overview about the software - its aims, requirements and features. Some historical and technical remarks are given together with some basic principles and facts about the functionality and a short guidance how to use this software and its features. In the third chapter (Supported classes of dynamical systems), the notion of a dynamical system is defined and described in this context and the most important classes of dynamical systems supported by the AnT software package including their main characteristic properties are listed. For each addresses class of dynamical systems at least one typical and illustrative representative is presented. In chapter four (Scanning dynamical systems), the notion of scanning is described and its importance in the field of nonlinear dynamics is emphasized. The different types of scan possibilities and procedures provided by the software are explained as well as the meaning of a scan item and a scan item sequence. Directly connected with the scanning of a dynamical system is the investigation or analysis of the dynamic behavior, because in most of the cases one is not only interested in the investigation under some fixed conditions but under varying conditions. For the analysis of dynamical systems, several methods are developed in the meanwhile. The methods, which are already implemented in the AnT software and hence available, are presented in chapter five (Supported investigation methods). The investigation of dynamical systems is the most important task in the field of nonlinear dynamics, because it represents the basis for prediction and forecasting of the dynamics as well as improvement and enhancement of the used or derived mathematical models. Therefore, a lot of examples are given in this chapter where the supported investigation methods are applied and illustrated. In chapter six (Simulating and investigating dynamical systems), a more detailed description of the software architecture and applied concepts is given. Especially the most important concepts of transitions and machines designed for the simulation and the investigation are explained and illustrated. The necessity of distributed computing is addressed to in chapter seven (Distributed computing), where the capability of the software to run in distributed mode to solve time consuming investigation tasks in parallel on several workstations or nodes of a cluster is described. The used client/server architecture is presented together with the developed network protocol. Many diagrams and figures in this work are based on the result of time consuming computations and could not have been prepared without the important distributed computing feature of the AnT software package. In chapters eight (AnT-gui: the graphical user interface) and nine (Visualization of dynamical systems), the graphical user interface, which guides a user through the initialization phase and the visualization capabilities of the software were presented, before in chapter ten (Numerical aspects of simulation) some remarks about numerics and scientific computing are elucidated. In chapter eleven (Examples), further illustrative examples of the functionality of the software are given including several scans not only with respect to system parameters but also with respect to initial values and even method parameters. The work closes with chapter twelve (Conclusion), where the main advantages of the AnT software package and the future extensions are presented, together with a short overview about related software projects.