SIAM Journal on Applied Mathematics, Vol. 50, No. 6 (Dec., 1990), pp. 1716-1744 (29 pages) Strongly nonlinear oscillations in a double-well potential that cross a separatrix due to dissipation are ...

Separatrix cycles for a planar quadratic vector field are studied. The results obtained are used to show that in any bounded region of the plane a quadratic vector field has at most a finite number of ...

1. Separatrix Separation A pendulum in motion can either swing from side to side or turn in a continuous circle. The point at which it goes from one type of motion to the other is called the ...