Barbanti, Luciano [UNESP]Damasceno, Berenice Camargo [UNESP]dos Reis, Celia Aparecida [UNESP]Pereira da Silva, Neusa A. [UNESP]2014-05-202014-05-202012-01-019th International Conference on Mathematical Problems In Engineering, Aerospace and Sciences (icnpaa 2012). Melville: Amer Inst Physics, v. 1493, p. 84-87, 2012.0094-243Xhttp://hdl.handle.net/11449/10398This work deals with the nonlinear piezoelectric coupling in vibration-based energy harvesting, done by A. Triplett and D.D. Quinn in J. of Intelligent Material Syst. and Structures (2009). In that paper the first order nonlinear fundamental equation has a three dimensional state variable. Introducing both observable and control variables in such a way the controlled system became a SISO system, we can obtain as a corollary that for a particular choice of the observable variable it is possible to present an explicit functional relation between this variable one, and the variable representing the charge harvested. After-by observing that the structure in the Input-Output decomposition essentially changes depending on the relative degree changes, presenting bifurcation branches in its zero dynamics-we are able in to identify this type of bifurcation indicating its close relation with the Hartman - Grobman theorem telling about decomposition into stable and the unstable manifolds for hyperbolic points.84-87engEnergy Harvesting SystemInternal DynamicZero DynamicInput-Output LinearizationAsymptotic StabilityTrabalho apresentado em evento10.1063/1.4765473WOS:000312264400013Acesso aberto391652178453508185444754668629917644869884732752