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DOI: 10.5445/IR/1000035179
Veröffentlicht am 18.04.2018
DOI: 10.1088/1742-6596/268/1/012003

On transformation to the singularly perturbed system

Bykov, V.

A rapid progress in hard- and software development of computational facilities as well as in numerical methods has increased the role of numerical simulations in the quantitative system analysis of many engineering problems. At the same time, the system complexity (in terms of dimensionality and non-linearity) has grown considerably increasing demand for automatic methods of analysis of qualitative system behavior. For instance, nowadays, definition of key system parameters controlling the system dynamics and finding critical regimes automatically have become crucial issue of numerical system analysis. In the present paper a transformation to the Singularly Perturbed System (SPS) as a main theoretical framework to cope with the complexity and high dimensionality will be discussed in detail. Both simple but famous and meaningful model example of Van der Pol oscillator and an example of application to numerical analysis of chemical kinetics mechanisms will be used to show the potential of the suggested framework.

Zugehörige Institution(en) am KIT Institut für Technische Thermodynamik (ITT)
Publikationstyp Zeitschriftenaufsatz
Jahr 2011
Sprache Englisch
Identifikator ISSN: 1742-6588, 1742-6596
URN: urn:nbn:de:swb:90-351792
KITopen ID: 1000035179
Erschienen in Journal of physics / Conference Series
Band 268
Heft 1
Seiten 012003/1-12
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