Erhältlich:
Nicht auf Lager
Buch (Hardcover): Fachbuch
Chaotic Dynamics in Nonlinear Theory
Produkt bewerten
Verlag:
Springer Verlag Unsere-Artikel-Nr.: 3QE75D7
EAN: 9788132220916
Erhältlich:
Nicht auf Lager
Zustellung: Di, 21.07.2026
Versand: Kostenlos
-17.1 %
CHF 70.–
CHF 58.–
Beschreibung
Using phase-plane analysis, findings from the theory of topological horseshoes and linked-twist maps, this book presents a novel method to prove the existence of chaotic dynamics. In dynamical systems, complex behavior in a map can be indicated by showing the existence of a Smale-horseshoe-like structure, either for the map itself or its iterates. This usually requires some assumptions about the map, such as a diffeomorphism and some hyperbolicity conditions. In this text, less stringent definitions of a horseshoe have been suggested so as to reproduce some geometrical features typical of the Smale horseshoe, while leaving out the hyperbolicity conditions associated with it. This leads to the study of the so-called topological horseshoes. The presence of chaos-like dynamics in a vertically driven planar pendulum, a pendulum of variable length, and in other more general related equations is also proved.
Spezifikationen
Sprache
- Englisch
Autor
- Lakshmi Burra
Zielgruppe
- Research
Erscheinungsjahr
- 2014
Erscheinungsland
- Indien
Format
- Buch (Hardcover)
Anzahl Seiten
- 124
