Connection matrix pairs

Volume 47 / 1999

David Richeson Banach Center Publications 47 (1999), 219-232 DOI: 10.4064/-47-1-219-232


We discuss the ideas of Morse decompositions and index filtrations for isolated invariant sets for both single-valued and multi-valued maps. We introduce the definition of connection matrix pairs and present the theorem of their existence. Connection matrix pair theory for multi-valued maps is used to show that connection matrix pairs obey the continuation property. We conclude by addressing applications to numerical analysis. This paper is primarily an overview of the papers [R1] and [R2].


  • David Richeson

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