Connection matrix theory for discrete dynamical systems
Bartłomiejczyk, Piotr ; Dzedzej, Zdzisław
Banach Center Publications, Tome 50 (1999), p. 67-78 / Harvested from The Polish Digital Mathematics Library
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In [C] and [F1] the connection matrix theory for Morse decomposition is developed in the case of continuous dynamical systems. Our purpose is to study the case of discrete time dynamical systems. The connection matrices are matrices between the homology indices of the sets in the Morse decomposition. They provide information about the structure of the Morse decomposition; in particular, they give an algebraic condition for the existence of connecting orbit set between different Morse sets.

Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:208943 
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     author = {Bart\l omiejczyk, Piotr and Dzedzej, Zdzis\l aw},
     title = {Connection matrix theory for discrete dynamical systems},
     journal = {Banach Center Publications},
     volume = {50},
     year = {1999},
     pages = {67-78},
     zbl = {0946.37007},
     language = {en},
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Bartłomiejczyk, Piotr; Dzedzej, Zdzisław. Connection matrix theory for discrete dynamical systems. Banach Center Publications, Tome 50 (1999) pp. 67-78. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv47i1p67bwm/

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