Dynamical systems : stability, symbolic dynamics, and chaos / Clark Robinson.

Format:

Book

Author/Creator:

Robinson, R. Clark (Rex Clark), 1943-

Series:

Studies in advanced mathematics

Language:

English

Subjects (All):

Differentiable dynamical systems.

Physical Description:

506 pages : illustrations ; 26 cm.

Edition:

Second edition.

Place of Publication:

Boca Raton, Fla. ; London : CRC Press, [1999]

Summary:

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.

Notes:

Includes bibliographical references (pages 487-500) and index.

ISBN:

0849384958

OCLC:

39485331