For the following coupled system x=y y = x(1-x²)+y find all equilibrium points and determine the nature of the linear system around each of the equilibrium points. Draw the null-clines, directions of the trajectories on each null-clines and hence draw the approximate phase plots the the system.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 17EQ
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2. For the following coupled system
x=y
y = x(1-x²)+y
find all equilibrium points and determine the nature of the linear system around each of the
equilibrium points. Draw the null-clines, directions of the trajectories on each null-clines and
hence draw the approximate phase plots the the system.
Transcribed Image Text:2. For the following coupled system x=y y = x(1-x²)+y find all equilibrium points and determine the nature of the linear system around each of the equilibrium points. Draw the null-clines, directions of the trajectories on each null-clines and hence draw the approximate phase plots the the system.
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