The intersection surfaces in a 4-dimensional homoclinic/heteroclinic tangle

We study the homoclinic/heteroclinic tangle in a three degrees of freedom system corresponding to a 4-dimensional Poincaré map. In particular, we look at the 2-dimensional homoclinic/heteroclinic intersection surfaces between the stable and unstable manifolds of the most important codimension-2 invariant sets and study how the internal structures of these invariant sets are transported into the intersection surfaces. This provides a pictorial overview of the 2-dimensional continuum of homoclinic/heteroclinic connections via this particular intersection surface. As an example of demonstration, we use a model for a barred galaxy containing a three degrees of freedom version of a ternary symmetric horseshoe. © 2022, The Author(s), under exclusive licence to Springer Nature B.V.

Авторы
Zotos E.E. 1, 2 , Jung C.3
Журнал
Издательство
Springer Netherlands
Номер выпуска
4
Язык
Английский
Страницы
4415-4431
Статус
Опубликовано
Том
108
Год
2022
Организации
  • 1 Department of Physics, School of Science, Aristotle University of Thessaloniki, GR-541 24, Thessaloniki, Greece
  • 2 Mathematical Institute of the Peoples’ Friendship University of Russia (RUDN University), Miklukho-Maklaya str. 6, Moscow, 117198, Russian Federation
  • 3 Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México, Av. Universidad s/n, Cuernavaca, 62251, Mexico
Ключевые слова
Chaotic invariant set in 4D maps; Homoclinic/heteroclinic intersection surfaces; Homoclinic/heteroclinic tangle in a 3-dof system; The 3-dof version of a ternary symmetric horseshoe
Дата создания
06.07.2022
Дата изменения
06.07.2022
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/83604/
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