Zusammenfassung
Alle physikalischen Vorgänge sind grundsätzlich nichüinear. Daß trotz dieser Tatsache der mathematischen Physik so große Erfolge bei deren Beschreibung, d.h. bei der qualitativen wie quantitativen Voraussage des Verhaltens physikalischer Systeme, beschieden sind, liegt vor allem daran, daß es fast stets gelingt, die nichtlinearen Phänomene durch ein lineares Gesetz zu approximieren. Die Notwendigkeit der Linearisierung ergibt sich — mathematisch gesehen — aus der Tatsache, daß für nichtlineare Gleichungen fast keine allgemeinen analytischen Verfahren bereitstehen, während für lineare Differentialgleichungen — insbesondere gewöhnliche — die analytische Theorie stark ausgebaut ist.
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Plaschko, P., Brod, K. (1989). Deterministisches Chaos — Eine Einführung. In: Höhere mathematische Methoden für Ingenieure und Physiker. Hochschultext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83621-3_13
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