کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1856096 1529858 2015 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Nonlinear dynamics of classical counterpart of the generalized quantum nonlinear oscillator driven by position dependent mass
ترجمه فارسی عنوان
پویای غیرخطی همبستگی کلاسیک از نوسانگر غیرخطی کوانتومی که به وسیله جرم وابسته به موقع
کلمات کلیدی
نوسانگر غیرخطی توده وابسته موقعیت آشوب، تقسیم بندی
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
چکیده انگلیسی


• Mass parameter ηη plays a crucial role in the chaotic dynamics of the system.
• For η>0η>0, period doubling route to chaos occurs.
• For η<0η<0, quasiperiodic route to chaos occurs via strange nonchaotic attractor.
• Period five orbit occurs after period four for fixed η>0η>0 when other parameters vary.
• Fractal boundaries are observed in the f−αf−α bifurcation diagram.

This paper examines the chaotic dynamics of certain damped and forced versions of classical counterpart of generalized quantum nonlinear oscillator endowed with position dependent mass (PDM). Various bifurcations such as symmetry breaking, period doubling, inverse period doubling, interior and boundary crises are reported. Sensitivity of the mass parameter ηη to the chaotic dynamics of the system is demonstrated by the appearance of completely different route to chaos for η>0η>0 and η<0η<0. In the former case the chaotic motion is found to set in through period doubling route while in the latter case there is quasiperiodic route to chaos via strange non-chaotic attractor. Fractal boundaries are observed in chaos plots for η>0η>0.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Physics - Volume 353, February 2015, Pages 222–237
نویسندگان
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