Dynamical Systems: Stability, Symbolic Dynamics, and Chaos

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Clark Robinson (Northwestern University, Evanston, Illinois, USA) Steven G. Krantz (Washington University, St. Louis, Missouri, USA)

Dynamical Systems

Stability, Symbolic Dynamics, and Chaos

Clark Robinson (Northwestern University, Evanston, Illinois, USA), Steven G. Krantz (Washington University, St. Louis, Missouri, USA)

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English

CRC Press Inc
17 November 1998

Differential calculus & equations; Chaos theory; Maths for scientists; Maths for engineers

Series: Studies in Advanced Mathematics

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. What's New in the Second Edition?: A revised discussion of the saddle node bifurcation; a new section on the horseshoe for a flow with a transverse homoclinic point; material on horseshoes for nontransverse homoclinic points, indicating recent extensions to the understanding of how horseshoes arise; information proving the ergodicity of a hyperbolic toral automorphism; a new chapter on Hamiltonian systems.

By: Clark Robinson (Northwestern University Evanston Illinois USA)
Series edited by: Steven G. Krantz (Washington University St. Louis Missouri USA)
Imprint: CRC Press Inc
Country of Publication: United States
Edition: 2nd edition
Dimensions: Height: 254mm, Width: 178mm, Spine: 28mm
Weight: 1.133kg
ISBN: 9780849384950
ISBN 10: 0849384958
Series: Studies in Advanced Mathematics
Pages: 524
Publication Date: 17 November 1998
Audience: College/higher education , Professional and scholarly , Professional & Vocational , A / AS level , Further / Higher Education
Format: Hardback
Publisher's Status: Active

Clark Robinson

Reviews for Dynamical Systems: Stability, Symbolic Dynamics, and Chaos

...was impressed with the teachability of this text and with the exercises at the end of each chapter, which seemed be nicely graded in difficulty. -D. Givoli, APPLIED MECHANICS REVIEWS