Geodesic
The cyclic spectrum of a Boolean flow
Theory and applications of categories, Tome 10 (2002), pp. 392-409

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

This paper defines flows (or discrete dynamical systems) and cyclic flows in a category and investigates how the trajectories of a point might approach a cycle. The paper considers cyclic flows in the categories of Sets and of Boolean algebras and their duals and characterizes the Stone representation of a cyclic flow in Boolean algebras. A cyclic spectrum is constructed for Boolean flows. Examples include attractive fixpoints, repulsive fixpoints, strange attractors and the logistic equation.

Classification : 18B25, 37B99.
Keywords: flow, discrete dynamical system, topos, Cole spectrum, strange attractor. 
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     author = {John F. Kennison},
     title = {The cyclic spectrum of a {Boolean} flow},
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     pages = {392--409},
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     volume = {10},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2002_10_a14/}
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John F. Kennison. The cyclic spectrum of a Boolean flow. Theory and applications of categories, Tome 10 (2002), pp. 392-409. http://geodesic.mathdoc.fr/item/TAC_2002_10_a14/