کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9868399 | 1530690 | 2005 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Dynamical mechanism for band-merging transitions in quasiperiodically forced systems
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موضوعات مرتبط
مهندسی و علوم پایه
فیزیک و نجوم
فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Dynamical mechanism for band-merging transitions in quasiperiodically forced systems Dynamical mechanism for band-merging transitions in quasiperiodically forced systems](/preview/png/9868399.png)
چکیده انگلیسی
As a representative model for quasiperiodically forced period-doubling systems, we consider the quasiperiodically forced logistic map, and investigate the mechanism for the band-merging transition. When the smooth unstable torus loses its accessibility from the interior of the basin of an attractor, it cannot induce the “standard” band-merging transition. For this case, we use the rational approximation to the quasiperiodic forcing and show that a new type of band-merging transition occurs for a nonchaotic attractor (smooth torus or strange nonchaotic attractor) as well as a chaotic attractor through a collision with an invariant ring-shaped unstable set which has no counterpart in the unforced case. Particularly, a two-band smooth torus is found to transform into a single-band intermittent strange nonchaotic attractor via a new band-merging transition, which corresponds to a new mechanism for the appearance of strange nonchaotic attractors. Characterization of the intermittent strange nonchaotic attractor is made in terms of the average time between bursts and the local Lyapunov exponents.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 335, Issues 5â6, 21 February 2005, Pages 383-393
Journal: Physics Letters A - Volume 335, Issues 5â6, 21 February 2005, Pages 383-393
نویسندگان
Woochang Lim, Sang-Yoon Kim,