کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10727585 1037655 2005 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Anholonomy and geometrical localization in dynamical systems
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
Anholonomy and geometrical localization in dynamical systems
چکیده انگلیسی
We characterize the geometrical and topological aspects of a dynamical system by associating a geometric phase with a phase space trajectory. Unlike Berry's phase, the path underlying this “anholonomy” is not in parameter space, but in a projective space of the phase space, which directly characterizes the geometry of the trajectories. Using the example of a non-linear driven damped oscillator, we show that this phase is resilient to fluctuations, responds to all bifurcations and finds new geometric transitions. It also provides a new characterization of chaotic trajectories. Enriching the phase space description is a novel phenomenon of “geometrical localization” which manifests itself as a significant deviation from planar dynamics over a short time interval.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 335, Issue 1, 31 January 2005, Pages 20-25
نویسندگان
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