Limit cycles in a general two-stroke oscillation Original Research Article

Conditions of the existence of limit cycles in a general two-stroke oscillation system are obtained. The general oscillation is a special kind of Liénard-type system with isoclines approaching both positive infinites or negative infinites as t→±∞t→±∞. The conditions for the uniqueness of the two-stroke oscillation are also proved. Some examples are used to illustrate our results.