Combinatorial Dynamics And Entropy In Dimension One (2nd Edition) e-bog
343,95 DKK
(inkl. moms 429,94 DKK)
This book introduces the reader to the two main directions of one-dimensional dynamics. The first has its roots in the Sharkovskii theorem, which describes the possible sets of periods of all cycles (periodic orbits) of a continuous map of an interval into itself. The whole theory, which was developed based on this theorem, deals mainly with combinatorial objects, permutations, graphs, etc.; it...
E-bog
343,95 DKK
Forlag
World Scientific
Udgivet
31 oktober 2000
Længde
432 sider
Genrer
PBV
Sprog
English
Format
pdf
Beskyttelse
LCP
ISBN
9789813105591
This book introduces the reader to the two main directions of one-dimensional dynamics. The first has its roots in the Sharkovskii theorem, which describes the possible sets of periods of all cycles (periodic orbits) of a continuous map of an interval into itself. The whole theory, which was developed based on this theorem, deals mainly with combinatorial objects, permutations, graphs, etc.; it is called combinatorial dynamics. The second direction has its main objective in measuring the complexity of a system, or the degree of "e;chaos"e; present in it; for that the topological entropy is used. The book analyzes the combinatorial dynamics and topological entropy for the continuous maps of either an interval or the circle into itself.