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Phatangare, Nanasaheb, Masalkar, Krishnat, Kendre, Subhash. (1403). Limit cycles in piecewise smooth differential systems of focus-focus and saddle-saddle dynamics. سامانه مدیریت نشریات علمی, 13(2), 395-419. doi: 10.22034/cmde.2024.59418.2535
Nanasaheb M Phatangare; Krishnat D Masalkar; Subhash Dhondiba Kendre. "Limit cycles in piecewise smooth differential systems of focus-focus and saddle-saddle dynamics". سامانه مدیریت نشریات علمی, 13, 2, 1403, 395-419. doi: 10.22034/cmde.2024.59418.2535
Phatangare, Nanasaheb, Masalkar, Krishnat, Kendre, Subhash. (1403). 'Limit cycles in piecewise smooth differential systems of focus-focus and saddle-saddle dynamics', سامانه مدیریت نشریات علمی, 13(2), pp. 395-419. doi: 10.22034/cmde.2024.59418.2535
Phatangare, Nanasaheb, Masalkar, Krishnat, Kendre, Subhash. Limit cycles in piecewise smooth differential systems of focus-focus and saddle-saddle dynamics. سامانه مدیریت نشریات علمی, 1403; 13(2): 395-419. doi: 10.22034/cmde.2024.59418.2535

Limit cycles in piecewise smooth differential systems of focus-focus and saddle-saddle dynamics

Computational Methods for Differential Equations
مقاله 4، دوره 13، شماره 2، خرداد 2025، صفحه 395-419    اصل مقاله (655.01 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؛ Piecewise smooth differential system؛ Limit cycle؛ Picard Fuch equations؛ Poincare return map؛ Melnikov function
مراجع
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