44349

Автор(ы): 

Автор(ов): 

2

Параметры публикации

Тип публикации: 

Статья в журнале/сборнике

Название: 

Extending the Property of a System to Admit a Family of Oscillations to Coupled Systems

ISBN/ISSN: 

15628353

Наименование источника: 

  • Nonlinear Dynamics and Systems Theory

Обозначение и номер тома: 

17(1)

Город: 

  • Kiev

Издательство: 

  • InforMath Publishing Group

Год издания: 

2017

Страницы: 

95-106
Аннотация
Coupled systems, each one admitting a family of nondegenerate periodic solutions, are considered. The period of oscillations in the family is supposed to depend on a unique parameter. Conditions imposed on weak couplings such that the coupled system admits a family of periodic solutions, which is similar to that of subsystems, are found. Differential equations of general form, as well as reversible mechanical systems, are investigated. The existence of resonant orbits in the N-planet problem with one planet in a quasi-circular orbit is proved.

Библиографическая ссылка: 

Тхай В.Н., Барабанов И.Н. Extending the Property of a System to Admit a Family of Oscillations to Coupled Systems // Nonlinear Dynamics and Systems Theory. 2017. 17(1). С. 95-106.