A map to describe propagation of particles through any section of a nonlinear lattice may be represented as a Taylor expansion about the origin in phase space. Although the technique to compute the Taylor coefficients has been improved recently, the expansion may fail to provide adequate accuracy in regions where nonlinear effects are substantial. A representation of the map in angle-action coo...

We present a new methodology, suitable for implementation on computer, to perform the ϵ-expansion of hypergeometric functions with linear ϵ dependent Pochhammer parameters in any number variables. Our approach allows one Taylor as well Laurent series expansion multivariable functions. Each coefficients is expressed combination same domain convergence that original function. illustrative example...

In Ref. [3] we have presented a way to calculate corrections beyond mean field, resolving issues related to the complex fermion determinant in the PNJL model. This is achieved by means of a perturbative approach establishing a systematically ordered series of correction terms. We define the unperturbed model by the Taylor expansion up to second order in the fields of the real part of the bosoni...

Abstract This paper presents an appropriate numerical method to solve nonlinear Fredholm integro-differential equations with time delay. Its approach is based on the Taylor expansion. This method converts the integro-differential equation and the given conditions into the matrix equation which corresponds to a system of nonlinear algebraic equations with unknown Taylor expansion coefficients, s...