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

• Дата: 1992
• Автори: Mitropolsky , Yu. O., Antonishin , I. O., Prikarpatsky , A. K., Samoilenko , V. G., Митропольський , Ю. О., Антонишин , І. О., Прикарпатський , А. К., Самойленко , В. Г.
• Формат: Стаття
• Мова: Українська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1992
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/2319
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...