COMBINATORIAL DYNS & ENTROPY (2 ED) (V5) (eBook)

Llu??s Alsed??, Misiurewicz; ; Jaume Llibre; Michal (Autoren)

eBook Download: PDF

2000 | 2. Auflage
432 Seiten
World Scientific Publishing Company (Verlag)
978-981-310-559-1 (ISBN)

Infos

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.

Produkt-Details

• Erscheint lt. Verlag: 31.10.2000
• Reihe/Serie: Advanced Series in Nonlinear Dynamics
• Reihe/Serie: Advanced Series in Nonlinear Dynamics
• Reihe/Serie: ADVANCED SERIES IN NONLINEAR DYNAMICS
• Verlagsort: SG
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Themenwelt: Mathematik / Informatik ► Mathematik ► Graphentheorie
• Themenwelt: Naturwissenschaften ► Physik / Astronomie
• ISBN-10: 981-310-559-3 / 9813105593
• ISBN-13: 978-981-310-559-1 / 9789813105591