کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8256492 | 1534034 | 2014 | 21 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The Swift-Hohenberg equation with a nonlocal nonlinearity
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: The Swift-Hohenberg equation with a nonlocal nonlinearity The Swift-Hohenberg equation with a nonlocal nonlinearity](/preview/png/8256492.png)
چکیده انگلیسی
When the kernel is short-range, weakly nonlinear analysis results in envelope equations of standard type but whose coefficients are modified in complicated ways by the nonlinear nonlocal term. Nevertheless, these computations can be formulated quite generally in terms of properties of the Fourier transform of the kernel function. When the lengthscale associated with the kernel is longer, our method leads naturally to the derivation of two different, novel, envelope equations that describe aspects of the dynamics in these new regimes. The first of these contains additional bifurcations, and unexpected loops in the bifurcation diagram. The second of these captures the stretched-out nature of the homoclinic snaking curves that arises due to the nonlocal term.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 270, 1 March 2014, Pages 60-80
Journal: Physica D: Nonlinear Phenomena - Volume 270, 1 March 2014, Pages 60-80
نویسندگان
David Morgan, Jonathan H.P. Dawes,