Determine the type and stability of each real equilibrium point by calculating the Jacobian matrix at each equilibrium. X' = 1 - xy Y' = x - y3
Determine the type and stability of each real equilibrium point by calculating the Jacobian matrix at each equilibrium.
X' = 1 - xy
Y' = x - y3
X' = 1 - xy
Y' = x - y3
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Answer
X' = 1 xy Y' = x y 3 We find equilibria at (1, 1) and (-1, -1). The phase portrait, …View the full answer
Related Book For 
Differential Equations and Linear Algebra
2nd edition
Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West
ISBN: 978-0131860612