FALL 2017
The University of Iowa
The College of Liberal Arts and Sciences
Department of Mathematics
NONLINEAR DYNAMICS WITH NUMERICAL METHODS: MATH:5600, Section 0AAA
Lecture: 1:302:20PM MWF in 217 MLH
Discussion: 9:3010:20AM Th in 15 SH
ANNOUNCEMENTS!
FINAL EXAMINATION
To be held on Monday, December 11, 10:00 AM12:00 PM (noon)
in room 217 MLH.
The final examination is comprehensive,
except sections 5.7, 5.8, 5.9, 5.10, 7.3, and 7.4 of the class notes. It will be done with open books
and open notes, but calculators are NOT allowed.
RECOMMENDED READINGS FROM THE TEXTBOOKS (AND FROM OTHER REFERENCES)
 Meiss: 1.1, 1.2, 1.3; Schaeffer: 1.1, 1.2, 1.3, 1.5
 Meiss: 2.1, 2.2; Schaeffer: 2.5
 Meiss: 2.3, 2.4, 2.5, 2.6; Schaeffer: 2.3, 2.4, 2.6
 Meiss: parts of 2.8 (p.58 is on the transition matrix, Theorem 2.34 is
AbelJacobi... formula for the transition matrix)
 Meiss: 4.1, 4.2
 Meiss: 4.4, 4.5
 Meiss: 4.6
 Meiss: 4.8 (4.7)
 Meiss: 4.9, 4.10
 Meiss: 6.6, 6.7
 Meiss: parts of 2.8 again (p.59 on the monodromy matrix and
Floquet multipliers...), 4.11
 Meiss: 4.12
 Meiss: 8.1, 8.4
 Meiss: 4.10
 Meiss: 7.1, 7.2, 7.3
GENERAL INFORMATION
 Syllabus.
 ICON.
Homework assignments can be found there.
 Textbook (Meiss):
Differential Dynamical Systems, Revised Edition by
James D. Meiss.
2017,
410 pages,
Publisher: Society for Industrial and Applied Mathematics (SIAM),
Series: Mathematical Modeling and Computation,
ISBN10: 1611974631,
ISBN13: 9781611974638,
list price: $87.00 (Softcover). Note that
there is a 20% student discount pricing
that can be used only when students
order their textbook directly through SIAM,
the discount is not available at the bookstores. Here's how to receive the discount:
Go to: http://bookstore.siam.org/mm22/;
Select List Price (not Member Price); At Checkout, enter the coupon code: ******
(the coupon code is given in the Course Home in ICON
under Announcements, it will also be given in class).
Table of contents.
Preface;
Index.
Library reference (1st edition): Engineering Library QA614.8 .M45 2007.
The
textbook on amazon.com.

 Textbook (Schaeffer):
Ordinary Differential Equations: Basics and Beyond,
by David G. Schaeffer and John W. Cain,
1st ed. 2016 edition (November 12, 2016),
542 pages,
Publisher: Springer; Series: Texts in Applied Mathematics (Book 65),
ISBN10: 1493963872,
ISBN13: 9781493963874,
list price: $69.99 (Hardcover).
Electronic version.
The
textbook on amazon.com.

Additional useful readings:

Introduction to the Calculus of Variations by Hans Sagan,
1969 edition, 449 pages, Paperback, Dover Publications,
ISBN10: 0486673669, ISBN13: 9780486673660, list price: $21.95.
Library references: Physics Library QA315 .S23 1992 and Mathematical Sciences Library QA315 .S23.
The book on amazon.com.

Calculus of Variations by I. M. Gelfand and
S. V. Fomin, October 2000, 240 pages, Paperback, Dover Publications,
ISBN10: 0486414485, ISBN13: 9780486414485, list price: $11.95.
Library reference: Mathematical Sciences Library QA315 .G417.
The book on amazon.com.
 Ordinary Differential Equations and Dynamical Systems
by Gerald Teschl,
American Mathematical Society, Providence, Series: Graduate Studies in Mathematics,
vol. 140, 2012,
356 pages, Softcover, ISBN10: 0821883283, ISBN13: 9780821883280, list price: $64.00.
Electronic version and
erratum.

Nonlinear Differential Equations and Dynamical Systems (second Edition) by Ferdinand Verhulst,
Springer, Series: Universitext, 303 pages, Softcover, Corr. 2nd printing, 1996,
ISBN10: 3540609342, ISBN13: 9783540609346, list price: $49.95.
Library reference: Physics Library QA372 .V48513 1996.
The book on amazon.com.

Ordinary Differential Equations by Vladimir I. Arnol'd (Author), R. Cooke (Translator),
Springer, 272 pages, Softcover, 3rd edition, 1992,
ISBN13: 9783540345633, list price: $64.95.
The book on amazon.com.

Principles of Differential Equations by Nelson G. Markley,
WileyInterscience, Hoboken, N.J., Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts,
2004, 352 pages, Hardcover, ISBN: 0471649562.
Table of contents.
Library reference: Mathematical Sciences Library QA371 .M264 2004.

Differential Equations and Dynamical Systems by Lawrence Perko,
Springer, Series: Texts in Applied Mathematics, Vol. 7, 3rd edition,
2001, 568 pages, Hardcover, ISBN: 0387951164.
Library reference: Mathematical Sciences Library QA372 .P47 1991.

Stability, instability and chaos by
Paul Glendinning, Cambridge University Press,
Cambridge texts in applied mathematics 11,
1994, 388 pages, ISBN: 0521425662, reprinted 1999.

Introduction to Applied Nonlinear Dynamical Systems and Chaos by
Stephen Wiggins,
Springer, Series: Texts in Applied Mathematics, Vol. 2, 2nd edition,
2003, 808 pages, Hardcover, ISBN: 9780387001777, list price: $109.00.
Library reference: Mathematical Sciences Library QA614.8 .W54 2003.

An Introduction to Dynamical Systems: Continuous and Discrete, Second Edition by
R. Clark Robinson,
American Mathematical Society; 2 edition, December 7, 2012,
Pure and Applied Undergraduate Texts,
733 pages, ISBN: 9780821891353, Library reference: Engineering Library QA614.8 .R65 2012.
Errata on the book by the author.

Dynamical Systems with Applications using Matlab by
Stephen Lynch,
Birkhauser, Boston, 2004, 450 pages, ISBN 0817643214,
Library reference: Engineering Library QA614.8 .L97 2004.

Nonlinear dynamics and chaos: With Applications to Physics, Biology, Chemistry, and Engineering (Studies in Nonlinearity), 2nd Edition by
Steven H. Strogatz, Westview Press, 2014, ISBN13: 9780813349107,
Library reference: Engineering Library Q172.5.C45 S767 2015.

Chaos: an introduction to dynamical systems by
Kathleen T. Alligood, Tim D. Sauer, James A. Yorke,
Springer, New York, Textbooks in mathematical sciences,
1997, 603 pages, ISBN: 0387946772,
Library reference: Mathematical Sciences Library QA614.8 .A44 1997.

The Theory of Differential Equations: Classical and Qualitative by Walter G. Kelley and Allan C. Peterson,
Springer, Series: Universitext, Vol. 278, 424 pages, Softcover, 2nd edition, 2010,
ISBN10: 1441957820, ISBN13: 9781441957825, list price: $69.95.
The book on amazon.com.

Differential Equations: Theory and Applications by Davis Betounes,
Springer, 2nd edition, 2010, 620 pages, Hardcover,
ISBN10: 1441911626, ISBN13: 9781441911629, list price: $79.95. Library reference: Engineering Library QA371.5.D37 B47 2010.
The book on amazon.com.

Solving ordinary differential equations I. Nonstiff problems
by E. Hairer, S. P. Norsett, and Gerhard Wanner, Springer, Berlin,
Springer Series in Computational Mathematics, vol. 8,
Second Revised Edition, 1993, 528 pages, ISBN: 9783540566700.
Library reference: Mathematical Sciences Library QA372 .H16 1993 v.1.

Solving ordinary differential equations II.
Stiff and differentialalgebraic problems
by E. Hairer and G. Wanner, Springer, Berlin,
Springer Series in Computational Mathematics, vol. 14,
Second Revised Edition, 1996, 614 pages, ISBN: 9783540604525.
Library reference: Mathematical Sciences Library QA372 .H16 1993 v.2.

Geometric numerical integration: structurepreserving algorithms
for ordinary differential equations
by E. Hairer, Ch. Lubich, and G. Wanner, Springer, Berlin,
Springer Series in Computational Mathematics, vol. 31,
Second Revised Edition, 2006, 644 pages, ISBN: 9783540306634.
Library reference: Mathematical Sciences Library QA299.3 .H35 2006.
MATLAB
 MATLAB Academy,
learn Matlab interactively at your own pace.
 Matlab Help is available directly from the Help menu of the Matlab window.

MATLAB Tutorials and Learning Resources from MathWorks,
Classroom Resources,
MATLAB & Simulink Tutorials,
Students and Educators Resources,
all presented by Mathworks, Inc., producers of Matlab.
 Matlab Primer (pdf)

Introduction to Engineering Programming: in C, MATLAB and JAVA
by Mark A. Austin.

A very good book on Matlab:
MATLAB programming with applications for engineers by Stephen J. Chapman,
Cengage Learning, Stamford, CT, 1st edition, 2012,
ISBN10: 0495668079, ISBN13: 9780495668077, 592 pages.
Engineering Library QA76.73.M37 C52 2013.
The
book on amazon.com.

 An excellent book on Matlab:
MATLAB: An Introduction with Applications by
Amos Gilat,
Hoboken, N.J.: Wiley ; Chichester : John Wiley, 2008,
ISBN10: 0470108770, ISBN13: 9780470108772 (ENGINEERING QA297 .G48 2008)


MATLAB Guide, 2nd edition by Desmond J. Higham and Nicholas J. Higham,
SIAM, Philadelphia, 2005 (ENGINEERING QA297 .H5217 2005)
 Matlab for first order ODEs
 Matlab for higher order ODEs and systems of ODEs
 Free electronic textbook Numerical Computing with MATLAB
by Cleve Moler
himself!, the founder of Matlab, SIAM, Philadelphia, 2nd edition, 2008, (Engineering Library QA297 .M625 2004).
LINUX COMPUTER ACCOUNTS
 CLAS Linux Support.

Linux computer accounts are available on the Linux network in MLH
(computer lab rooms B5 and 301). Set up a
CLAS Linux Account here
by just entering your hawkid and passphrase.

You can find
local online Linux Help
for questions/problems you may have about Linux.

Selected Unix commands.
 If you have problems with your Linux account go to 303A MLH.
 These accounts expire, see the
account expiration policy. If there is anything in this directory
that you would like to save, you must archive it to your own home directory.
REMOTE ACCESS TO MATLAB AND TO YOUR LINUX COMPUTER ACCOUNT
 To access your Linux computer account remotely.
you can use FastX, a graphical Linux virtual desktop environment
remotely accessible in your web browser:
 Login with your Hawkid username/password
 Click "Start a new session" (make sure your popup blocker doesn't block)
 Click "Bookmarks"
 Click "starxfce4 or startkde" depending on which desktop you want to
 Click "Start"
More details can be found
here.
You can make your browser window larger and then click in the lower left
hand corner, the box of nine dots that make a square, then click on the
arrow head with arrows on both ends to "maximize" the Linux desktop.
 https://virtualdesktop.uiowa.edu, another Windows virtual desktop
where you can access MATLAB in a Windows environment with your web browser (does not seem to work if your machine is a Linux machine).
TEACHING ASSISTANT
 Jeungeun Park,
email: jeungeunpark@uiowa.edu. Office: B20J MLH. Phone: 3353650.
Office hours: TTh 1:303:00PM.
CURRENT LIST OF STUDENTS
 Aceves, Elaina
 Al Bazoon, Mustafa Chasib Jasim
 Aranda Cuevas, Jose
 Balz, Curtis
 Camacho, Nicholas
 Converse, Geoff
 Diaz, Brian Jesus
 Lu, Chuan
 Malachi, Meghan
 Nevalainen, Shawn
 Oswald, Amrei
 Parr, Daniel
 Petentler, Bryanna
 Polenberg, Alex
 Ragodos, Ronilo
 Reynolds, William
 Riley, Mitchell
 Rooke, Ethan
 Sanadhya, Shrey
 Snyder, Heather
 Tiema, Violet
 Wang, Zisen
 Wickrama, Rajinda
 Wood, Adam
Laurent O. Jay
Department of Mathematics
14 MacLean Hall
The University of Iowa
Iowa City, IA 522421419
USA
Tel: (319)3350898
Email: laurentjay@uiowa.edu