Symplectic method for the construction of ergodic measures on invariant submanifolds of nonautonomous hamiltonian systems: Lagrangian manifolds, their structure, and mather homologies

• Дата: 2006
• Автори: Prykarpatsky, Ya. A., Прикарпатський, Я. А.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2006
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/3485
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We develop a new approach to the study of properties of ergodic measures for nonautonomous periodic Hamiltonian flows on symplectic manifolds, which are used in many problems of mechanics and mathematical physics. Using Mather’s results on homologies of invariant probability measures that minimize s...