Topology of optimal flows with collective dynamics on closed orientable surfaces

We consider flows on a closed surface with one or more heteroclinic cycles that divide the surface into two regions. One of the region has gradient dynamics, like Morse fields. The other region has Hamiltonian dynamics generated by the field of the skew gradient of the simple Morse function. We cons...

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Bibliographic Details
Main Authors: Alexandr Olegovich Prishlyak, Mariya Viktorovna Loseva
Format: Article
Language:English
Published: Odesa National University of Technology 2020-09-01
Series:Pracì Mìžnarodnogo Geometričnogo Centru
Subjects:
Online Access:https://journals.onaft.edu.ua/index.php/geometry/article/view/1731