کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9877717 1534095 2005 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Accumulations of T-points in a model for solitary pulses in an excitable reaction-diffusion medium
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Accumulations of T-points in a model for solitary pulses in an excitable reaction-diffusion medium
چکیده انگلیسی
We consider a family of differential equations that describes traveling waves in a reaction-diffusion equation modeling oxidation of carbon oxide on a platinum surface, near the onset of spatio-temporal chaos. The organizing bifurcation for the bifurcation structure with small carbon oxide pressures, turns out to be a codimension 3 bifurcation involving a homoclinic orbit to an equilibrium undergoing a transcritical bifurcation. We show how infinitely many T-point bifurcations of multi loop heteroclinic cycles occur in the unfolding.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 201, Issues 3–4, 15 February 2005, Pages 212-229
نویسندگان
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