Even convergent perturbations can converge to the wrong answer and divergent perturbations expansions can sometimes give good results at lower order in the theory of quantum electrodynamics qed in which the electron photon interaction is treated perturbatively the calculation of the electrons magnetic moment has been found to agree with experiment to eleven decimal places 2. Perturbation definition is the action of perturbing the state of being perturbed how to use perturbation in a sentence. In scalar tensor horndeski theories non singular cosmological models bounce and genesis are problematic because of potential ghost and or gradient instabilities one way to get around this obstacle is to send the effective planck mass to zero in the asymptotic past strong gravity in the past one may suspect that this feature is a signal of strong coupling problem at early times . The dynamical issues treated in this journal cover all of the classical topics including attractors bifurcation theory connection theory dichotomies ergodic theory finite and infinite dimensional systems index theory invariant manifolds lyapunov exponents normal forms singular perturbations stability theory symmetries topological methods and transversality
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