On the Chebyshev Property of Certain Abelian Integrals Near a Polycycle
نویسندگان
چکیده
منابع مشابه
A Chebyshev criterion for Abelian integrals
We present a criterion that provides an easy sufficient condition in order that a collection of Abelian integrals has the Chebyshev property. This condition involves the functions in the integrand of the Abelian integrals and can be checked, in many cases, in a purely algebraic way. By using this criterion, several known results are obtained in a shorter way and some new results, which could no...
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In this paper, we study the Chebyshev property of the 3-dimentional vector space $E =langle I_0, I_1, I_2rangle$, where $I_k(h)=int_{H=h}x^ky,dx$ and $H(x,y)=frac{1}{2}y^2+frac{1}{2}(e^{-2x}+1)-e^{-x}$ is a non-algebraic Hamiltonian function. Our main result asserts that $E$ is an extended complete Chebyshev space for $hin(0,frac{1}{2})$. To this end, we use the criterion and tools developed by...
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three infinite families of finite abelian groups will be described such that each member of these families has the r'edei $k$-property for many non-trivial values of $k$.
متن کاملcertain finite abelian groups with the redei k-property
three infinite families of finite abelian groups will be described such that each member of these families has the r'edei $k$-property for many non-trivial values of $k$.
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ژورنال
عنوان ژورنال: Qualitative Theory of Dynamical Systems
سال: 2017
ISSN: 1575-5460,1662-3592
DOI: 10.1007/s12346-017-0226-3