On the solution calculation of nonlinear ordinary differential equations via exact quadratization (Q2003962)

This work shows that a large class of systems of differential equations, with nonlinearities which are generalized polynomials -- with arbitrary (not necessarily integer) exponents, can be reduced to systems of quadratic differential equations by employing a suitable definition of new variables. This result is then used to obtain recursive formulas for computing the Taylor coefficients of the power series representing solutions of these systems.