Abelian Integrals in Non-symmetric Perturbation of Symmetric Hamiltonian Vector Field

نویسندگان
چکیده

برای دانلود رایگان 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

An extended complete Chebyshev system of 3 Abelian integrals related to a non-algebraic Hamiltonian system

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...

متن کامل

Non-symmetric Support Vector Machines

A novel approach to calculate the generalization error of the support vector machines and a new support vector machine–nonsymmatic support vector machine–is proposed here. Our results are based upon the extreme value theory and both the mean and variance of the generalization error are exactly ontained.

متن کامل

BCn-symmetric abelian functions

We construct a family of BCn-symmetric biorthogonal abelian functions generalizing Koornwinder’s orthogonal polynomials, and prove a number of their properties, most notably analogues of Macdonald’s conjectures. The construction is based on a direct construction for a special case generalizing Okounkov’s interpolation polynomials. We show that these interpolation functions satisfy a collection ...

متن کامل

Numerical Evidence that the Perturbation Expansion for a Non-Hermitian PT -Symmetric Hamiltonian is Stieltjes

Recently, several studies of non-Hermitian Hamiltonians having PT symmetry have been conducted. Most striking about these complex Hamiltonians is how closely their properties resemble those of conventional Hermitian Hamiltonians. This paper presents further evidence of the similarity of these Hamiltonians to Hermitian Hamiltonians by examining the summation of the divergent weak-coupling pertur...

متن کامل

A note on symmetric duality in vector optimization problems

In this paper, we establish weak and strong duality theorems for a pair of multiobjective symmetric dual problems. This removes several omissions in the paper "Symmetric and self duality in vector optimization problem, Applied Mathematics and Computation 183 (2006) 1121-1126".

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: Advances in Applied Mathematics

سال: 1994

ISSN: 0196-8858

DOI: 10.1006/aama.1994.1001