Nonlinear Systems

ISBN-13: 9780521406680 / Angielski / Miękka / 1992 / 352 str.

P. G. Drazin; D. G. Crighton; M. J. Ablowitz

Opis

A coherent treatment of nonlinear systems covering chaos, fractals, and bifurcation, as well as equilibrium, stability, and nonlinear oscillations. The systems treated are mostly of difference and differential equations. The author introduces the mathematical properties of nonlinear systems as an integrated theory, rather than simply presenting isolated fashionable topics. The topics are discussed in as concrete a way as possible, worked examples and problems are used to motivate and illustrate the general principles. More advanced parts of the text are denoted by asterisks, thus making it ideally suited to both undergraduate and graduate courses.

Recenzje

' … contains an abundance of interesting problems … will be of immense value to anyone planning a course on the subject.' The Times Higher Education Supplement

Spis treści

1. Introduction; 2. Classification of bifurcations of equilibrium solutions; 3. Difference equations; 4. Some special topics; 5. Ordinary differential equations; 6. Second-order autonomous ordinary differential systems; 7. Forced oscillations; 8. Chaos; Bibliography; Index.