dynamical-systems-hw12

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

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
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
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Math 550.391, Homework Set 12-f08, Hackernotes c ± Wayne Hacker 2008. All rights reserved. 2 The Problems for Chapter 8:
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

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: < 0, = 0, and > 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...
View Full Document

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.

Page1 / 2

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

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online