Differential Dynamical Systems

Name: Differential Dynamical Systems
Price: 215 AUD
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ISBN: 9781611974638

James D. Meiss

$215

Paperback

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English

Society for Industrial & Applied Mathematics,U.S.
30 January 2017

Differential calculus & equations; Applied mathematics; Maths for scientists; Maths for engineers

Series: Mathematical Modeling and Computation

Differential equations are the basis for models of any physical systems that exhibit smooth change. This book combines much of the material found in a traditional course on ordinary differential equations with an introduction to the more modern theory of dynamical systems. Applications of this theory to physics, biology, chemistry, and engineering are shown through examples in such areas as population modeling, fluid dynamics, electronics, and mechanics.

Differential Dynamical Systems begins with coverage of linear systems, including matrix algebra; the focus then shifts to foundational material on nonlinear differential equations, making heavy use of the contraction-mapping theorem. Subsequent chapters deal specifically with dynamical systems concepts—flow, stability, invariant manifolds, the phase plane, bifurcation, chaos, and Hamiltonian dynamics. Revisions include simplified and clarified proofs of a number of theorems, an expanded introduction to function spaces, additional exercises, and the correction of typographical errors.

Throughout the book, the author includes exercises to help students develop an analytical and geometrical understanding of dynamics. Many of the exercises and examples are based on applications and some involve computation; an appendix offers simple codes written in Maple®, Mathematica®, and MATLAB® software to give students practice with computation applied to dynamical systems problems.

By: James D. Meiss
Imprint: Society for Industrial & Applied Mathematics,U.S.
Country of Publication: United States
Edition: Revised Second Edition
Dimensions: Height: 229mm, Width: 152mm,
Weight: 885g
ISBN: 9781611974638
ISBN 10: 1611974631
Series: Mathematical Modeling and Computation
Pages: 420
Publication Date: 30 January 2017
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

List of Figures Preface Acknowledgments Chapter 1: Introduction Chapter 2: Linear Systems Chapter 3: Existence and Uniqueness Chapter 4: Dynamical Systems Chapter 5: Invariant Manifolds Chapter 6: The Phase Plane Chapter 7: Chaotic Dynamics Chapter 8: Bifurcation Theory Chapter 9: Hamiltonian Dynamics Appendix: Mathematical Software Bibliography Index

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Differential Dynamical Systems

James D. Meiss

$215

Paperback

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