关键词: time-dependent parametric system, bifurcation transition, imperfect bifurcation, Duffing’s equation, Taylor’s theorem of several centers, interpolation formula, erroneous estimate

Abstract: In this article we shall obtain an interpolation formula passing given a serial points and satisfying initial values of the derivatives of higher order in preceding points Finally we shall give the erroneous estimate of the preceding interpolation formula.

Key words: time-dependent parametric system, bifurcation transition, imperfect bifurcation, Duffing’s equation, Taylor’s theorem of several centers, interpolation formula, erroneous estimate