Dynamics and Bifurcations (Texts in Applied Mathematics, Vol. 3)

ISBN: 9780387971414

出版社: Springer

出版年: 1996-11-15

页数: 588

定价: USD 84.95

装帧: Hardcover

内容简介

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.