Bounds for a domain containing all compact invariant sets of the system describing the laser—plasma interaction

摘要

In this paper we consider the localization problem of compact invariant sets of the system describing the laser- plasma interaction. We establish that this system has an ellipsoidal localization for simple restrictions imposed on its parameters. Then we improve this localization by applying other localizing functions. In addition, we give sufficient conditions under which the origin is the unique compact invariant set.