MCE 564 Course Page

mce 663: nonlinear dynamics


meeting place:	Wales 224
meeting time:	TR 2:00-3:15
Nonlinear dynamics theory and its applications to mechanical, chemical, electromagnetic or biological oscillators; stability, phase space analysis, limit cycles, bifurcations, perturbation methods, chaos, fractals, strange attractors and other advanced topics.

announcements:

[10/18/2006] Maple program for Lindstedt's method for the van der Pol oscillator is given here. Or you can download the source code. The averaging example is here and the corresponding sourse code.

[09/25/2006] some usefull applications and sofware:

1. phase portraits for ode's and autonomous systems (Penn State)
--> http://www.math.psu.edu/melvin/phase/newphase.html
This is a Java Applet. Enter your equations, click in the phase plane and watch the trajectory and solution evolve.

2. DsTool (Cornell, Guckenheimer Group):
--> http://www.cam.cornell.edu/guckenheimer/dstool.html
Need Unix System.

3. chaos analysis
--> http://www.ee.ed.ac.uk/~mb/analysis_progs.html
Need Unix System.

4. dynamics solver
--> http://tp.lc.ehu.es/jma/ds/ds.html

5. other computational resources for dynamical systems
--> http://www.enm.bris.ac.uk/research/nonlinear/faq-%5B5%5D.html

[09/20/2006] first homework set assigned.

[09/06/2006] course information posted in pdf format. You can also download the required notes by Richard Rand from here http://www.tam.cornell.edu/randdocs/nlvibe52.pdf