کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5103230 1480100 2017 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Pattern transitions and complexity for a nonlocal logistic map
ترجمه فارسی عنوان
انتقال الگوی و پیچیدگی برای یک نقشه لجستیک غیر محلی
کلمات کلیدی
نقشه لجستیک، الگوی شکل گیری، سفارش پارامتر،
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
چکیده انگلیسی
We examine the pattern solutions in a generalized nonlocal logistic map that includes spatial kernels in both growth and competition terms. We show that this map includes as a particular case the nonlocal Fisher-Kolmogorov equation, and we demonstrate the existence of three kinds of stationary nonlinear solutions: one uniform, one cosine type that we refer to as wavelike solution, and another in the form of Gaussian. We also obtain analytical expressions that describe the nonlinear pattern behavior in the system, and we establish the stability criterion. We define thermodynamics quantities such as entropy and the order parameter. Based on this, the pattern-no-pattern and pattern-pattern transitions are properly analyzed. We show that these pattern solutions may be related to the recently observed peak adding phenomenon in nonlinear optics.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 473, 1 May 2017, Pages 301-312
نویسندگان
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