Experimental analysis computes tensor invariants in both integrable and non-integrable dynamical systems, highlighting their unique properties.
Typically, one considers the problem of finding the minimum number of invariants of a dynamical system sufficient for integrability. It can be also assumed that there are invariants not related to integrability that describe other properties of the dynamical system. We compute such tensor invariants for some integrable and non-integrable dynamical systems by using modern computer software and discuss their properties.
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A. V. Tsiganov (2025) studied this question.
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