Автор |
V Afraimovich |
Автор |
W S Liu |
Автор |
T Young |
Дата выпуска |
1996-01-01 |
dc.description |
In this work we introduce and describe conventional multipliers, a new characteristic of homoclinic orbits of saddle-node type periodic trajectories. We prove existence and smooth dependence of conventional multipliers on the initial point. We show that multipliers of periodic trajectories arising from the homoclinic ones as a result of the saddle-node bifurcation are close to the conventional multipliers. As an application we study behavior of a circle map inside the `Arnold tongues'. |
Формат |
application.pdf |
Издатель |
Institute of Physics Publishing |
Название |
Conventional multipliers for homoclinic orbits |
Тип |
paper |
DOI |
10.1088/0951-7715/9/1/004 |
Electronic ISSN |
1361-6544 |
Print ISSN |
0951-7715 |
Журнал |
Nonlinearity |
Том |
9 |
Первая страница |
115 |
Последняя страница |
136 |
Аффилиация |
V Afraimovich; Georgia Institute of Technology, Center for Dynamical Systems and Nonlinear Studies and School of Mathematics, Atlanta, GA 30332-0190, USA |
Аффилиация |
W S Liu; Georgia Institute of Technology, Center for Dynamical Systems and Nonlinear Studies and School of Mathematics, Atlanta, GA 30332-0190, USA |
Аффилиация |
T Young; Georgia Institute of Technology, Center for Dynamical Systems and Nonlinear Studies and School of Mathematics, Atlanta, GA 30332-0190, USA |
Выпуск |
1 |