Articles liés à Dynamical SystemsStability, Symbolic Dynamics, and...

Dynamical SystemsStability, Symbolic Dynamics, and Chaos - Couverture rigide

Livre 1 sur 23: Studies in advanced Mathematics

Robinson, Clark

 
9780849384936: Dynamical SystemsStability, Symbolic Dynamics, and Chaos
Couverture rigide
ISBN 10 : 0849384931 ISBN 13 : 9780849384936
Editeur : CRC Press Inc, 1994

Synopsis

This new text/reference treats dynamical systems from a mathematical perspective, centering on multidimensional systems of real variables. Background material is carefully reviewed as it is used throughout the book, and ideas are introduced through examples. Numerous exercises help the reader understand presented theorems and master the techniques of the proofs and topic under consideration.
The book treats the dynamics of both iteration of functions and solutions of ordinary differential equations. Many concepts are first introduced for iteration of functions where the geometry is simpler, but results are interpreted for differential equations. A proof of the existence and continuity of solutions with respect to initial conditions is included. Explicit formulas for the various bifurcations are included, and a treatment of the Hénon map and the Melnikov method is provided.
The dynamical systems approach of the book concentrates on properties of the whole system or subsets of the system rather than individual solutions. Even the more local theory which is treated deals with characterizing types of solutions under various hypothesis. Later chapters deal more directly with more global aspects, with one chapter discussing various examples and later chapters giving the global theory.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

This new text/reference treats dynamical systems from a mathematical perspective, centering on multidimensional systems of real variables. Background material is carefully reviewed as it is used throughout the book, and ideas are introduced through examples. Numerous exercises help the reader understand presented theorems and master the techniques of the proofs and topic under consideration.
The book treats the dynamics of both iteration of functions and solutions of ordinary differential equations. Many concepts are first introduced for iteration of functions where the geometry is simpler, but results are interpreted for differential equations. A proof of the existence and continuity of solutions with respect to initial conditions is included. Explicit formulas for the various bifurcations are included, and a treatment of the Hénon map and the Melnikov method is provided.
The dynamical systems approach of the book concentrates on properties of the whole system or subsets of the system rather than individual solutions. Even the more local theory which is treated deals with characterizing types of solutions under various hypothesis. Later chapters deal more directly with more global aspects, with one chapter discussing various examples and later chapters giving the global theory.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
CRC Press Inc
Date d'édition
1994
Langue
anglais
ISBN 10 
0849384931
ISBN 13 
9780849384936
Reliure
Relié
Nombre de pages
480
Coordonnées du fabricant
non disponible
Personne responsable
non disponible

Autres éditions populaires du même titre

9780849384950: Dynamical Systems: Stability, Symbolic Dynamics, and Chaos

Edition présentée

ISBN 10 :  0849384958 ISBN 13 :  9780849384950
Editeur : CRC Press Inc, 1998
Couverture rigide