Continuous iteration of dynamical maps
Copyright policy )Continuous iteration of dynamical maps
A precise meaning is given to the notion of continuous iteration of a mapping. Usual discrete iterations are extended into a dynamical flow which is a homotopy of them all. The continuous iterate reveals that a dynamic map is formed by independent component modes evolving without interference with each other. An application to turbulent flow suggests that the velocity field assumes nonseparable values.
turbulent flow, Combinatorial dynamics (types of periodic orbits), homotopy, continuous iteration of a mapping, dynamical flow, FOS: Physical sciences, Mathematical Physics (math-ph), Bell matrix, Dynamical systems approach to turbulence, Dynamical systems involving maps of the interval, Iteration of real functions in one variable, Mathematical Physics
turbulent flow, Combinatorial dynamics (types of periodic orbits), homotopy, continuous iteration of a mapping, dynamical flow, FOS: Physical sciences, Mathematical Physics (math-ph), Bell matrix, Dynamical systems approach to turbulence, Dynamical systems involving maps of the interval, Iteration of real functions in one variable, Mathematical Physics
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