Explicit non-algebraic limit cycles for polynomial systems
نویسندگان
چکیده
منابع مشابه
2 3 M ay 2 00 5 EXPLICIT NON - ALGEBRAIC LIMIT CYCLES FOR POLYNOMIAL SYSTEMS
We consider a system of the form ẋ = Pn(x, y) + xRm(x, y), ẏ = Qn(x, y) + yRm(x, y), where Pn(x, y), Qn(x, y) and Rm(x, y) are homogeneous polynomials of degrees n, n and m, respectively, with n ≤ m. We prove that this system has at most one limit cycle and that when it exists it can be explicitly found. Then we study a particular case, with n = 3 and m = 4. We prove that this quintic polynomia...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2007
ISSN: 0377-0427
DOI: 10.1016/j.cam.2006.01.003