کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1896664 | 1534064 | 2010 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Dynamics of solitary waves generated by subcritical instability under the action of delayed feedback control
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
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چکیده انگلیسی
We consider the influence of a global delayed feedback control which acts on a system governed by a subcritical Ginzburg–Landau equation. The method based on a variational principle is applied for the derivation of a low-dimensional evolution model. In the framework of this model a one-pulse solution is found, and its linear and nonlinear stability analysis is carried out. The existence region for a stable time-periodic pulse solution is found between the boundaries in the parameter space corresponding to a Hopf bifurcation and a saddle-node bifurcation. The obtained results are compared with the results of an analytical linear theory and direct numerical simulations of the original problem.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 239, Issues 1–2, January 2010, Pages 87–94
Journal: Physica D: Nonlinear Phenomena - Volume 239, Issues 1–2, January 2010, Pages 87–94
نویسندگان
Y. Kanevsky, A.A. Nepomnyashchy,