Localization of periodic orbits of polynomial systems by ellipsoidal estimates

Konstantin E. Starkov and Alexander P. Krishchenko

Chaos, Solitons & Fractals, 2005, vol. 23, issue 3, 981-988

Abstract: In this paper we study the localization problem of periodic orbits of multidimensional continuous-time systems in the global setting. Our results are based on the solution of the conditional extremum problem and using sign-definite quadratic and quartic forms. As examples, the Rikitake system and the Lamb’s equations for a three-mode operating cavity in a laser are considered.

Date: 2005
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:23:y:2005:i:3:p:981-988

DOI: 10.1016/j.chaos.2004.06.002

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