In looking for references to the mathematical properties of data curves that have flowing shapes I searched for various combinations of "systems, flow, curve, continuity, slope, data, shape" and came up with nothing. I also checked my copy of Hamilton's exhaustive "Time Series Analysis", also missing the subject, as were all my other statistical analysis books. Then it occurred to me that flowing shape in the curves of complex systems is really the symptom of systems where it takes a process to change a process, and thought some reference might come up under 'cybernetics'. I did come up with a nice newer summary article on cybernetics by Chris Joslyn of Los Alamos with Frances Heylighen [http://pespmc1.vub.ac.be/Papers/Cybernetics-EPST.pdf], but still no reference to how to measure the physical property of systems that corresponds to approximate mathematical continuity in the flowing shapes of their data curves. I'm developing tests using statistical measures for the lack of 'zig zaggyness' of data curves (as an indicator of smooth progression in shape). Any help?
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