parts (abcd) of 1 A EXERCISES 1. For each of the following nonlinear systems: (a) Find all the critical points. (b) Use the Jacobian matrix to classify the critical points (saddle, node, etc., stable, asymptotically stable, etc.) (c) In the phase plane sketch the nullclines and indicate the direction field in regions bounded by the null- clines. (d) Insofar as possible, sketch a rough phase diagram indicating several key orbits.
parts (abcd) of 1 A EXERCISES 1. For each of the following nonlinear systems: (a) Find all the critical points. (b) Use the Jacobian matrix to classify the critical points (saddle, node, etc., stable, asymptotically stable, etc.) (c) In the phase plane sketch the nullclines and indicate the direction field in regions bounded by the null- clines. (d) Insofar as possible, sketch a rough phase diagram indicating several key orbits.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 16EQ
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