Ch. LAVILLE observed that any vortex may, under specific conditions, generate smaller vortices. He writes: "We may witness either a conjunction of separate vortices into a unique one, or the disjunction of one vortex into various individual ones" (1950, p.55).
As to the subdivision process he states: "The volume of a vortex does not seem to be able to exceed a certain limit depending on the conditions of its formation. Over this threshold it maintains the coherence needed for its survival by fractioning into smaller vortices" (Ibid)
Each of these corresponds to a limit cycle.
This process of production of vortexes within vortexes within vortexes, etc… seems to be a very important factor of internal diversification, closely related to the construction of complex systems through subdivision and qualitative differentiation of channels of energy flows.
It would be interesting to try to connect the study of subdividing vortices with fractals theory and deterministic chaos.
In some cases, small vortexes also can combine and construct a greater one at a higher level of integration, as shown by A.P. INGERSOLL's models of Jovian vortices (quoted by J. BRIGGS and F.D. PEAT, 1991, p.125).
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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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