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Dynamics and Bifurcations

Posted on 2010-03-15




Name:Dynamics and Bifurcations
ASIN/ISBN:0387971416
Language:English
File size:10.4 Mb
Publish Date: 1996-11-15
ISBN: 0387971416
Pages: 592 pages
File Size: 10,4 MB
Other Info: Springer; Djvu
   Dynamics and Bifurcations

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Jack K. Hale, Huseyin Kocak " "

This book of ideas and examples about the geometry of of ordinary differential equations. The subject of differential and difference equations is an old and much-honored chapter in science. In recent years, due primarily to the proliferation of computers, dynamical systems has once more turned to its roots in applications. It is the aim of this book to provide a modest foundation of knowledge for undergraduate and beginning graduate students in mathematics or science and engineering. Equations in dimension one and two constitute the majority of the text. It is demonstrated in particular that the basic notion of stability and bifurcations of vector fields are easily explained for scalar autonomous equations. Proceeding, the authors investigate the dynamics of planar autonomous equations where new dynamical behavior, such as periodic and homoclinic orbits, appear.

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