Bofill i Villà, Josep M.Quapp, WolfgangCaballero Puig, Marc2020-03-182020-03-182013-08-020009-2614https://hdl.handle.net/2445/152911The system of ordinary differential equations for the method of the gentlest ascent dynamics (GAD) has been derived which was previously proposed [W. E and X. Zhou, Nonlinearity 24, 1831 (2011)]. For this purpose we use diverse projection operators to a given initial direction. Using simple examples we explain the two possibilities of a GAD curve: it can directly find the transition state by a gentlest ascent, or it can go the roundabout way over a turning point and then find the transition state going downhill along its ridge. An outlook to generalised formulas for higher order saddle-points is added.6 p.application/pdfeng(c) Elsevier B.V., 2013CatàlisiAlgorismes computacionalsQuímica físicaCatalysisComputer algorithmsPhysical and theoretical chemistryinfo:eu-repo/semantics/article6433892020-03-18info:eu-repo/semantics/openAccess