Good text for a second course on ODES?

[DeadWolfe]

I've learned the basic methods of ODEs but I'm looking for a more advanced book, covering things like limit cycles, existence and uniqeness thoerems, phase portraits, and so on.

Does anyone know of a good book for such topics.

 

[neurocomp2003]

Perko..."Differential Equations & Dynamical Systems

divides the book into 4 Chapters:intro, Local, Global and Bifurcation theory...Well written i think. And u can self-learn from that text...its what i did(though i was actulally enrolled in the class).

 

[mathwonk]

A Second Course in Elementary Differential Equations
author: Paul Waltman
ISBN: 0486434788
Dover Publications


Ordinary Differential Equations, by V.I. Arnold. I prefer the following
(old) edition if available, as it is cheaper, but anyone is ok.
Paperback: 270 pages
Publisher: The MIT Press (July 15, 1978)
ISBN: 0262510189

Lectures on Ordinary Differential Equations
Witold Hurewicz
Publisher: Dover Publications
Series: Dover Phoenix Editions Ser.

 

[DeadWolfe]

Thank you both.

 

[J77]

As a second course, look at:

Chaos: An Introduction to Dynamical Systems (Textbooks in Mathematical Sciences S.) by J.A. Yorke, K.T. Alligood, T.D. Sauer

If you want something more hardcore, go for either:

Kuznetsov - Elements of Appied Bifurcation Theory

or

Gukenheimer and Holmes - Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields

Both are from Springer.

 

[Feynman]

you can see this page`:http://www.ma3n.org/pages/jazar/MaPage.html
and "ODE"