Dynamics and Bifurcations

by H. Buttanri (Illustrator), Jack K. Hale, Hüseyin Kocak

In recent years, due primarily to the proliferation of computers, dynamical systems has again returned to its roots in applications. It is the aim of this book to provide undergraduate and beginning graduate students in mathematics or science and engineering with a modest foundation of knowledge. Equations in dimensions one and two constitute the majority of the text, and in particular it is demonstrated that the basic notion of stability and bifurcations of vector fields are easily explained for scalar autonomous equations. Further, the authors investigate the dynamics of planar autonomous equations where new dynamical behavior, such as periodic and homoclinic orbits appears.

Genres: Mathematics

568 pages, Hardcover

First published December 6, 1991

Reviews

[Nick Black · Rating 1 out of 5]

Doubleplusugh :/. This was our text for MATH 4542, Dynamics and Bifurcations II or, as it's colloquially known, Domination and Bondage. One of the very few textbooks I sold -- I tried to burn it first, but even the fire didn't want it. On the positive side, I do now refer to events like being arrested, major organ failures, and the PATRIOT Act's extension as semi-bewildering "cusp catastrophes", and I do enjoy being semi-bewildering from time to time.