Dynamics and bifurcations
US$5.00 US$50.00Title (user) : Dynamics and bifurcationsISBN : 0387971416,9780387971414DDC : 515/.35LCC : QA372 .H183 1991GoogleBook ID : h2gq4NULS_4COpenLibrary ID : OL1762300MEdition : CorrectedSeries : Research in CriminologyAuthors (user) : Jack K. Hale, Huseyin KocakAuthors (googl...
Title (user) : Dynamics and bifurcations
ISBN : 0387971416,9780387971414
DDC : 515/.35
LCC : QA372 .H183 1991
GoogleBook ID : h2gq4NULS_4C
OpenLibrary ID : OL1762300M
Edition : Corrected
Series : Research in Criminology
Authors (user) : Jack K. Hale, Huseyin Kocak
Authors (google) : Jack K. Hale,Hüseyin Kocak
Publisher : Springer-Verlag
Language : English
Publication Date : 1991
Scanned : yes (300 DPI)
File Format : djvu
Categories : Mathematics
Description (user) :
This comprehensive textbook is designed to take undergraduate and beginning graduate students of mathematics, science, and engineering from the rudimentary beginnings to the exciting frontiers of dynamical systems and their applications. It is a masterful exposition of the foundations of ordinary differential and difference equations from the contemporary viewpoint of dynamical systems and bifurcations. In both conception and execution, the authors implemented a fresh approach to mathematical narration. Fundamental ideas are explained in simple settings, the ramifications of theorems are explored for specific equations, and above all, the subject is related in the guise of a mathematical epic. With its insightful and engaging style, as well as its numerous computer-drawn illustrations of notable equations of theoretical and practical importance, this unique book will simply captivate the attention of students and instructors alike. 345 illustrations.
Description (google) :
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.