Show that the system \[ \begin {aligned} \dot {x}&=x+y-x^3\\ \dot {y}&=-x+y-y^3 \end {aligned} \] has at least one nonzero periodic solution.
Question
Math 6410 • ODE
Spring 2009 • Question 6
Question
Spring 2009 • Question 6
Show that the system \[ \begin {aligned} \dot {x}&=x+y-x^3\\ \dot {y}&=-x+y-y^3 \end {aligned} \] has at least one nonzero periodic solution.