Etymology

homeorhesis

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Today it means: A dynamical system which returns to a trajectory, as opposed to a system which returns to a particular state, which is termed homeostasis Full definition →

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The story

From homeo- + Ancient Greek ῥεῦσις (rheûsis, “flow”), the dropped u probably resulting from analogy with ῥέω (rhéō) or its derivatives.

Etymology from Wiktionary, CC BY-SA 4.0.