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Limit cycles in piecewise smooth differential systems of focus-focus and saddle-saddle dynamics | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 25 خرداد 1403 اصل مقاله (871.66 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2024.59418.2535 | ||
| نویسندگان | ||
| Nanasaheb M Phatangare* 1؛ Krishnat D Masalkar2؛ Subhash Dhondiba Kendre3 | ||
| 1Fergusson College (Autonomous), Pune, India. | ||
| 2Abasaheb Garware College, Pune, India. | ||
| 3Department of Mathematics, Savitribai Phule Pune University, Pune, India. | ||
| چکیده | ||
| In this paper, we obtained the Poincare return maps for the planar piecewise linear differential systems of the type focus-focus. Normal forms for planar piecewise smooth systems with two zones of the type focus-focus and saddle-saddle, separated by a straight line and with a center at the origin, are obtained. Upper bounds for the number of limit cycles bifurcated from the period annulus of these normal forms due to perturbation by polynomial functions of any degree are established. | ||
| کلیدواژه‌ها | ||
| Piecewise linear differential system؛ limit cycle؛ Picard Fuch equations؛ Poincare return map؛ Melnikov function | ||
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آمار تعداد مشاهده مقاله: 42 تعداد دریافت فایل اصل مقاله: 52 |
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