کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6419868 1631779 2016 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Analysis, adaptive control and circuit simulation of a novel nonlinear finance system
ترجمه فارسی عنوان
تحلیل، کنترل تطبیقی ​​و شبیه سازی مدار یک سیستم مالی غیر خطی جدید
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی

In the last three decades a growing interest in developing nonlinear dynamical systems for economic models, displaying chaotic behavior has been developed. To this direction, a novel 3-D nonlinear finance chaotic system consisting of two nonlinearities is presented. The dynamical analysis of the proposed system confirms its complex dynamic behavior, which is studied by using well-known simulation tools of nonlinear theory, such as the bifurcation diagram, Lyapunov exponents and phase portraits. Also, some interesting phenomena related with nonlinear theory are observed, such as route to chaos through a period doubling sequence, antimonotonicity and crisis phenomena. In addition, an interesting scheme of adaptive control of finance system's behavior is presented. Furthermore, the novel nonlinear finance system is emulated by an electronic circuit and its dynamical behavior is studied by using the electronic simulation package Cadence OrCAD in order to confirm the feasibility of the theoretical model.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 276, 5 March 2016, Pages 200-217
نویسندگان
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