dynamical-systems-hw12

# dynamical-systems-hw12 - Section 8.1 Problems Problem...

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Instructor: Wayne Hacker Math 550.391-f08 Homework Set 12: ODEs on the real line Grading Scheme for homework problems: Each problem will be graded according to the following scheme: Minor algebra/calculus mistake with a correct approach: 2 out of 3 points given Major algebra/calculus mistake with a correct approach: 1 out of 3 points given Wrong approach: 0 points given The diﬀerences between major and minor mistakes will be determined by the instructor, not the student! This algorithm will be strictly enforced. No exceptions! Diﬃculty Rating Scale: Next to each problem will be the following labels. E = Elementary Level Problem I = Intermediate Level Problem D = Diﬃcult Level Problem

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Math 550.391, Homework Set 12-f08, Hackernotes c ± Wayne Hacker 2008. All rights reserved. 2 The Problems for Chapter 8:
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Unformatted text preview: Section 8.1 Problems : Problem 1: (rating = E) Plot the phase portrait for the 2-D dynamical system ( x = f ( x,y ) = -x 2 y = g ( x,y ) =-y for the cases: &amp;lt; 0, = 0, and &amp;gt; 0. Note: This is a natural extension to two dimensions for the proto-typical example of a of a 1-D saddle-node bifurcation of the form x = x 2 . Problem 2: (rating = E) Strogatz 8.1.2 Problem 3: (rating = I) Strogatz 8.1.5 Problem 4: (rating = E) Strogatz 8.1.7 Section 8.2 Problems : Problem 5: (rating = E) Strogatz 8.2.1 Problem 6: (rating = E) Strogatz 8.2.2 Problem 7: (rating = I) Strogatz 8.2.3 Problem 8: (rating = I) Strogatz 8.2.11 Section 8.3 Problems : Problem 9: (rating = I) Strogatz 8.3.1 Section 8.6 Problems : Problem 10: (rating = I) Strogatz 8.6.2...
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## This note was uploaded on 02/28/2011 for the course MATH 550.391 taught by Professor Dr.hacker during the Fall '08 term at Johns Hopkins.

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dynamical-systems-hw12 - Section 8.1 Problems Problem...

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