MATH 326 Midterm: MATH326 Fall 2008 Exam

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Non linear dynamics and chaos and honors nonlinear dynamics and chaos. Instructions: students in math 326 answer 5 of the rst 7 questions. If you answer more than 5 questions, credit will be given for the best 5 answers. Do not answer question 8: students in math 376 answer 5 of the last 6 questions. If you answer all of these questions, credit will be given for the best 5 answers. Do not answer questions 1 or 2: please answer all questions in the exam booklets provided, starting each question on a new page, all questions carry equal weight, this is a closed book exam. Notes and textbooks are not permitted: translation dictionaries (english-french) are permitted, calculators, including graphical calculators are permitted, this exam comprises of the cover page and 3 pages of 8 questions. In each case sketch the corresponding bifurcation diagram, indicating the stability of the.