******** RULES FOR TERM PAPER IN 550.391 DYNAMICAL SYSTEMS ********* 1. The term paper must report on a published research paper in any area of science, which employs dynamical-systems concepts and methods from the course. This is a report only: no original work is expected or required. 2. The scientific background of the dynamical models developed in the paper should be clearly described, intelligible to a general science reader (namely, the instructor!) 3. All mathematical analysis in the paper using concepts and methods taught in the course (fixed points, linearization, nullclines, bifurcation classification, Poincare-Bendixson theorem, Lyapunov exponents, etc.) should be explained and elaborated. 4. All numerical results of the paper must be reproduced which can be done so using the matlab codes provided in the course. 5. The paper should have a length consistent with the above requirements, but at least 20 pages. As the paper is worth a substantial fraction of the course grade, high quality and signs of significant effort are expected. 6. Term papers are due on the final day of class. Hard copies of the research article that is reported on must also be included, as well as printouts of any codes used for numerical work. 7. Candidate research papers MUST be pre-approved for reports by the course instructor (Gregory Eyink). Electronic copies may be e-mailed to him, or paper copies submitted for review. It is a good idea to begin to look for possible research papers after the first midterm. The bibliography of the course textbook by Strogatz is an excellent source of possible papers. You may also find helpful on-line search engines such as Google Scholar http://scholar.google.com/ to locate papers by searching on key words that reflect your own interests (e.g. "dynamical systems" + "oncology"). You may also search on papers by author, title, etc. and find papers which cite a given paper, related articles, etc. Come to see the course instructor for help if you are experiencing any difficulty.