INTEGRABILITY 2)
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V. CROQUETTE states: "… all linear problems can be integrated".(1989, p.68).
Such problems correspond to the behavior of systems submitted to only one or two independent periodic oscillations.
CROQUETTE adds: "On the contrary, for nonlinear systems, the determination of the characteristic modes of behavior is quite more difficult and, in most cases downright impossible. The notion of non-integrability is thus closely related to the nonlinear character of the system, even if there are some integrable nonlinear systems, as the pendulum, for example" (Ibid).
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Bertalanffy Center for the Study of Systems Science(2020).
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Bertalanffy Center for the Study of Systems Science (2020). Title of the entry. In Charles François (Ed.), International Encyclopedia of Systems and Cybernetics (2). Retrieved from www.systemspedia.org/[full/url]
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