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

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  • Starkov, Konstantin E.

Abstract

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.

Suggested Citation

  • Starkov, Konstantin E., 2009. "Bounds for a domain containing all compact invariant sets of the system describing the laser–plasma interaction," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1671-1676.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:4:p:1671-1676
    DOI: 10.1016/j.chaos.2007.06.078
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    References listed on IDEAS

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    1. Starkov, Konstantin E. & Krishchenko, Alexander P., 2005. "Localization of periodic orbits of polynomial systems by ellipsoidal estimates," Chaos, Solitons & Fractals, Elsevier, vol. 23(3), pages 981-988.
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