تشعب هوبف لنظام رعشة تربيعي ثلاثي الأبعاد
DOI:
https://doi.org/10.21123/bsj.2023.8945الكلمات المفتاحية:
تشعب هوبف، نظام الرعشة، دورة الحد، كميات ليابانوف، الاستقراریةالملخص
هذا البحث مخصص لبحث تشعب هوبف لنظام الرعشة التربيعي ثلاثي الأبعاد. تم دراسة الاستقرار للنقاط المنفردة وظهور تشعب هوبف والدورات الحدية للنظام. بالإضافة إلى ذلك، يتم استخدام تقنية كميات ليابانوف لدراسة دورية النظام ومعرفة عدد دورات الحد التي يمكن تشعبها من نقاط هوبف. نظرًا للحمل الحسابي المطلوب لحساب كميات ليابانوف، تم تثبيت بعض المعلمات. حاليًا، يُظهر التحليل أنه يمكن تشعب ثلاث دورات حدية من نقاط هوبف. تم استخدام برمجة Maple للتحقق من جميع النتائج المعروضة في هذه الدراسة.
Received 16/04/2023,
Revised 15/07/2023,
Accepted 17/07/2023,
Published Online First 25/12/2023
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