کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1865709 1037858 2009 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Torus destruction via global bifurcations in a piecewise-smooth, continuous map with square-root nonlinearity
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
Torus destruction via global bifurcations in a piecewise-smooth, continuous map with square-root nonlinearity
چکیده انگلیسی
It has been shown recently that torus formation in piecewise-smooth maps can occur through a special type of border collision bifurcation in which a pair of complex conjugate Floquet multipliers “jump” from the inside to the outside of the unit circle. It has also been shown that a large class of impacting mechanical systems yield piecewise-smooth maps with square-root singularity. In this Letter we investigate the dynamics of a two-dimensional piecewise-smooth map with square-root type nonlinearity, and describe two new routes to chaos through the destruction of two-frequency torus. In the first scenario, we identify the transition to chaos through the destruction of a loop torus via homoclinic bifurcation. In the other scenario, a change of structure in the torus occurs via heteroclinic saddle connections. Further parameter changes lead to a homoclinic bifurcation resulting in the creation of a chaotic attractor. However, this scenario is much more complex, with the appearance of a sequence of heteroclinic and homoclinic bifurcations.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 373, Issue 48, 7 December 2009, Pages 4426-4433
نویسندگان
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