Problem 2.133. Consider the nonlinear dynamical system
x_(1)^(Ë™)(t)=x_(2)(t)cosx_(1)(t),x_(1)(0)=x_(10),t>=0,
x_(2)^(Ë™)(t)=sinx_(1)(t),x_(2)(0)=x_(20).
Show that (2.281) and (2.282) does not possess a limit cycle.
Problem 2.133. Consider the nonlinear dynamical system
i1(t)=x2(t)cosx1(t),x1(0)=x10,t0, i2(t) = sinx1(t),x2(0)=x20.
(2.281) (2.282)
Show that (2.281) and (2.282) does not possess a limit cycle.