Weak Index Pairs and the Conley Index for Discrete Multivalued Dynamical Systems
نویسندگان
چکیده
منابع مشابه
Weak Index Pairs and the Conley Index for Discrete Multivalued Dynamical Systems
Motivation to revisit the Conley index theory for discrete multivalued dynamical systems stems from the needs of broader real applications, in particular in sampled dynamics or in combinatorial dynamics. The new construction of the index in [B. Batko and M. Mrozek, SIAM J. Applied Dynamical Systems, 15(2016), pp. 1143-1162] based on weak index pairs, under the circumstances of the absence of in...
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The deenitions of isolating block, index pair, and the Conley index, together with the proof of homotopy and additivity properties of the index are generalized for discrete multivalued dynamical systems. That generalization provides a theoretical background of numerical computation used by Mischaikow and Mrozek in their computer assisted proof of chaos in the Lorenz equations, where nitely repr...
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ژورنال
عنوان ژورنال: SIAM Journal on Applied Dynamical Systems
سال: 2016
ISSN: 1536-0040
DOI: 10.1137/15m1046691