Dynamical Systems : Stability, Symbolic Dynamics, and Chaos
Book Details
Format
Hardback or Cased Book
Book Series
Studies in Advanced Mathematics
ISBN-10
0849384958
ISBN-13
9780849384950
Publisher
Taylor & Francis Inc
Imprint
CRC Press Inc
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Nov 17th, 1998
Print length
524 Pages
Weight
1,168 grams
Dimensions
26.30 x 18.10 x 3.80 cms
Product Classification:
Differential calculus & equationsChaos theoryMaths for scientistsMaths for engineers
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Treats the dynamics of both iteration of functions and solutions of ordinary differential equations. This book introduces various concepts for iteration of functions where the geometry is simpler, but results are interpreted for differential equations. It concentrates on properties of the whole system or subsets of the system.
Several distinctive aspects make Dynamical Systems unique, including:
treating the subject from a mathematical perspective with the proofs of most of the results included
providing a careful review of background materials
introducing ideas through examples and at a level accessible to a beginning graduate student
focusing on multidimensional systems of real variables
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. The dynamical systems approach of the book concentrates on properties of the whole system or subsets of the system rather than individual solutions. The more local theory discussed deals with characterizing types of solutions under various hypothesis, and later chapters address more global aspects.
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. The dynamical systems approach of the book concentrates on properties of the whole system or subsets of the system rather than individual solutions. The more local theory discussed deals with characterizing types of solutions under various hypothesis, and later chapters address more global aspects.
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