کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1713615 | 1013241 | 2011 | 20 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Weyl-flow and the conformally symplectic structure of thermostatted billiards: The problem of the hyperbolicity
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
کنترل و سیستم های مهندسی
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چکیده انگلیسی
This paper deals with analytical investigations on the possible hyperbolic nature of two thermostatted billiards: The nonequilibrium Ehrenfest gas (NEEG) and the pump model (PM). Despite numerical investigations supporting the idea of their dissipative dynamics, the hyperbolicity of these billiards has not been yet established. The analysis developed in this paper shows how the Weyl-flow technique has failed for NEEG, revealing the necessity to develop new strategies in order to obtain hyperbolicity. On the contrary, we prove that the PM has a conformally symplectic structure, which is the basis for establishing the hyperbolicity of such a hybrid dynamical system.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Hybrid Systems - Volume 5, Issue 1, February 2011, Pages 32-51
Journal: Nonlinear Analysis: Hybrid Systems - Volume 5, Issue 1, February 2011, Pages 32-51
نویسندگان
Carlo Bianca,