کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1896882 1044464 2006 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Chaotic hyperjerk systems
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک آماری و غیرخطی
پیش نمایش صفحه اول مقاله
Chaotic hyperjerk systems
چکیده انگلیسی

A hyperjerk system is a dynamical system governed by an nth order ordinary differential equation with n > 3 describing the time evolution of a single scalar variable. Such systems are surprisingly general and are prototypical examples of complex dynamical systems in a high-dimensional phase space. This paper describes a numerical study of a simple subclass of such systems and shows that they provide a means to extend the extensive study of chaotic systems with n = 3. We present some simple chaotic hyperjerks of 4th and 5th order. Two cases are examined that are apparently the simplest possible chaotic flows for n = 4, together with several hyperchaotic cases for n = 4 and 5.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Chaos, Solitons & Fractals - Volume 28, Issue 3, May 2006, Pages 739–746
نویسندگان
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