Differential Dynamical Systems by James D. Meiss - 9781611974638

Differential Dynamical SystemsAuthor(s): James D. Meiss\nFormat: Paperback\nPublisher: Society for Industrial & Applied Mathematics,U.S., United States\nImprint: Society for Industrial & Applied Mathematics,U.S.\nISBN-13: 9781611974638, 978-1611974638\nSynopsis\nDifferential 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.\n\nDifferential 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 specif.