Differential Dynamical Systems Revised Edition

This new edition contains several important updates and revisions throughout the book. Throughout the book, the author includes exercises to help students develop an analytical and geometrical understanding of dynamics.

Differential Dynamical Systems  Revised Edition

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. This new edition contains several important updates and revisions throughout the book. 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.

More Books:

Differential Dynamical Systems, Revised Edition
Language: en
Pages: 409
Authors: James D. Meiss
Categories: Mathematics
Type: BOOK - Published: 2017-01-24 - Publisher: SIAM

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,
Differential Dynamical Systems, Revised Edition
Language: en
Pages: 392
Authors: James D. Meiss
Categories: Mathematics
Type: BOOK - Published: 2017-01-24 - Publisher: SIAM

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,
Differential Equations and Dynamical Systems
Language: en
Pages: 557
Authors: Lawrence Perko
Categories: Mathematics
Type: BOOK - Published: 2013-11-21 - Publisher: Springer Science & Business Media

This textbook presents a systematic study of the qualitative and geometric theory of nonlinear differential equations and dynamical systems. Although the main topic of the book is the local and global behavior of nonlinear systems and their bifurcations, a thorough treatment of linear systems is given at the beginning of
Dynamical Systems and Probabilistic Methods in Partial Differential Equations
Language: en
Pages: 268
Authors: Percy Deift, C. D. Levermore, C. Eugene Wayne
Categories: Mathematics
Type: BOOK - Published: - Publisher: American Mathematical Soc.

This volume contains some of the lectures presented in June 1994 during the AMS-SIAM Summer Seminar at the Mathematical Sciences Research Institute in Berkeley. The goal of the seminar was to introduce participants to as many interesting and active applications of dynamical systems and probabilistic methods to problems in applied
Nonlinear Ordinary Differential Equations
Language: en
Pages: 550
Authors: Dominic William Jordan, Department of Mathematics D W Jordan, Peter Smith, Both in the Mathematics Department Peter Smith, Senior Lecturer D W Jordan
Categories: Mathematics
Type: BOOK - Published: 1999 - Publisher: Oxford University Press, USA

The text of this edition has been revised to bring it into line with current teaching, including an expansion of the material on bifurcations and chaos. It is directed towards practical applications of the theory with examples and problems.