2011 | OriginalPaper | Buchkapitel
Stability Charts for Fundamental Delay-Differential Equations
verfasst von : Tamás Insperger, Gábor Stépán
Erschienen in: Semi-Discretization for Time-Delay Systems
Verlag: Springer New York
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Simple scalar equations play an important role in understanding the main features of DDEs and the function of stability charts. Stability charts are diagrams constructed in the plane of two (or more) parameters of the system showing the stable and unstable domains or the numbers of unstable characteristic exponents/multipliers. In this chapter, some basic scalar equations are considered for which the stability charts can be constructed in closed form by a straightforward analysis of the characteristic equation.