Chaotic Bifurcations of Discrete Dynamic Systems with a Complex Variable
| المصدر: | مجلة التربوي |
|---|---|
| الناشر: | جامعة المرقب - كلية التربية بالخمس |
| المؤلف الرئيسي: | El Rifaei, A. H. (Author) |
| مؤلفين آخرين: | Abusutash, Zuhra Ali (Co-Author) |
| المجلد/العدد: | ع18 |
| محكمة: | نعم |
| الدولة: |
ليبيا |
| التاريخ الميلادي: |
2021
|
| الشهر: | يناير |
| الصفحات: | 686 - 693 |
| ISSN: |
2011-421X |
| رقم MD: | 1137077 |
| نوع المحتوى: | بحوث ومقالات |
| اللغة: | الإنجليزية |
| قواعد المعلومات: | EduSearch |
| مواضيع: | |
| كلمات المؤلف المفتاحية: |
Logistic Equation | Fixed Points | Stability | Lyapunov Exponent | Bifurcation | Chaos | Chaotic Attractor
|
| رابط المحتوى: |
| المستخلص: |
A dynamical system is a system whose evolution in time is uniquely determined by the current state, time can be discrete or continuous. In this paper, we are focusing on discrete time, we will provide the equivalent system of complex logistic equation. We study some dynamic properties such as fixed points and their asymptotic stability, Lyapunov exponents, chaos and bifurcation. Numerical results which confirm the theoretical analysis are presented. It is noted that dispersion and chaos have accured. We have used AL-Matlab to clarify the bifurcation diagrams and chaos both in 2D and 3D. |
|---|---|
| ISSN: |
2011-421X |
عناصر مشابهة
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