Simplex analysis of dynamical systems with a perturbation. New criteria of stabilization of a homoclinic separatrix and its use

We study adiabatic invariants of nonlinear dynamical systems of autonomous and nonautonomous type on symplectic manifolds, and, in particular, give criteria for the existence of such invariants and methods for constructing them explicitly. We make a thorough analysis of the phenomena of splitting of...

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Datum:1992
Hauptverfasser: Mitropolsky , Yu. O., Antonishin , I. O., Prikarpatsky , A. K., Samoilenko , V. G., Митропольський , Ю. О., Антонишин , І. О., Прикарпатський , А. К., Самойленко , В. Г.
Format: Artikel
Sprache:Ukrainisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1992
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/2319
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal