کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9877506 | 1534077 | 2005 | 28 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Global bifurcations to strange attractors in a model for skew varicose instability in thermal convection
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Global bifurcations to strange attractors in a model for skew varicose instability in thermal convection Global bifurcations to strange attractors in a model for skew varicose instability in thermal convection](/preview/png/9877506.png)
چکیده انگلیسی
We focus on a detailed mathematical study, combining numerical pathfollowing and bifurcation analysis, of chaotic dynamics and transitions to chaotic dynamics. Numerical continuation makes clear how homoclinic and heteroclinic bifurcations organize the bifurcation diagram in the parameter plane. Combined with a theoretical bifurcation analysis this explains the development of patterns and the creation of chaotic spatio-temporal dynamics in the model. The organizing centers, such as heteroclinic cycles with resonance conditions among eigenvalues and homoclinic loops with geometric degeneracies (inclination flips), are identified and their unfoldings are analyzed. This ties the creation of strange attractors of various geometric structures to codimension-two global bifurcations.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 211, Issues 3â4, 15 November 2005, Pages 235-262
Journal: Physica D: Nonlinear Phenomena - Volume 211, Issues 3â4, 15 November 2005, Pages 235-262
نویسندگان
Huu Khanh Nguyen, Ale Jan Homburg,