کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1866828 1530575 2015 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Absolutely continuous invariant measure of a map from grazing-impact oscillators
ترجمه فارسی عنوان
اندازه گیری غیرمستقیم پیوسته از یک نقشه از نوسانگرهای تاثیر گذار بر روی چراغ
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
چکیده انگلیسی


• We investigate a one-dimensional map with unbounded derivative.
• The map is the limit of the Nordmark map which is the normal form of the impact oscillators near grazing states.
• We prove that the map has an ergodic absolutely continuous invariant probability measure by constructing an induced Markov map.

In this paper we investigate a one-dimensional map with unbounded derivative. The map is the limit of the Nordmark map which is the normal form of a discrete time representation of impact oscillators near grazing, i.e. when the dissipation of the systems is large, the Nordmark map can be viewed as a perturbation of the one-dimensional map. We prove that the map has an ergodic absolutely continuous invariant probability measure in a region of parameter space by constructing an induced Markov map.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 379, Issues 10–11, 8 May 2015, Pages 901–906
نویسندگان
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