Opis: Survey of Nonlinear Dynamics - R.L. Ingraham, Ingraham

This is a concise introduction to nonlinear dynamics (or "chaos theory"). Among the topics covered are pde dynamics and Galerkin approximations, critical phenomena and renormalization group approach to critical exponents. Various levels and meanings of chaos are summarized. The book does not stress mathematical rigour, but does insist that crucial concepts are mathematically defined. Thus topology plays a basic role. "This book gives a survey of the whole field of nonlinear dynamics (or "chaos theory") in compressed form. The author states the key definitions and theorems carefully. The book is very short, but its content is comprehensive. This book makes it possible for the reader to understand the main ideas in nonlinear dynamics and to proceed to further research along the lines of the cited literature." Si Ming Zhu Mathematical ReviewsIntroductory remarks; fundamentals of continuous time systems; discrete time systems - iteration of maps; Hamiltonian systems; measure of chaos; renormalization group; partial differential equations; experimental realizations of nonlinear dynamics.

Szczegóły: Survey of Nonlinear Dynamics - R.L. Ingraham, Ingraham

Tytuł: Survey of Nonlinear Dynamics
Autor: R.L. Ingraham, Ingraham
Producent: World Scientific Publishing Co Ltd
ISBN: 9789810207779
Rok produkcji: 1991
Ilość stron: 100
Oprawa: Twarda

Recenzje: Survey of Nonlinear Dynamics - R.L. Ingraham, Ingraham