Centers and isochronous centers for generalized quintic systems

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Centers and isochronous centers for generalized quintic systems

In this paper we classify the centers and the isochronous centers of certain polynomial differential systems in R2 of degree d ≥ 5 odd that in complex notation can be written as ż = (λ+ i)z + (zz̄) d−5 2 (Az +Bzz̄ + Czz̄ +Dzz̄ + Ezz̄ + F z̄), where λ ∈ R and A,B,C,D,E, F ∈ C. Note that if d = 5 we obtain the full class of polynomial differential systems of the form a linear system with homogeneous po...

متن کامل

Quadratic Isochronous Centers Commute

We prove that every quadratic plane differential system having an isochronous center commutes with a polynomial differential system.

متن کامل

Uniformly Isochronous Polynomial Centers

We study a specific family of uniformly isochronous polynomial systems. Our results permit us to solve a problem about centers of such systems. We consider the composition conjecture for uniformly isochronous polynomial systems.

متن کامل

Chini Equations and Isochronous Centers in Three-Dimensional Differential Systems

We study the number of limit cycles of T−periodic Chini equations and some generalized Abel equations and apply the results obtained to illustrate the existence of isochronous centers in three-dimensional autonomous differential systems. Mathematics Subject Classification (2000). Primary: 34C25; Secondary: 37C10, 37C27.

متن کامل

Uniform isochronous cubic and quartic centers: Revisited

In this paper we completed the classification of the phase portraits in the Poincaré disc of uniform isochronous cubic and quartic centers previously studied by several authors. There are three and fourteen different topological phase portraits for the uniform isochronous cubic and quartic centers respectively.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Computational and Applied Mathematics

سال: 2015

ISSN: 0377-0427

DOI: 10.1016/j.cam.2014.11.007