A Review on Invariant Manifolds and Targeted Energy Transfer
%9 Review Article %D %J Oriental Journal Of Physical Science %R 10.13005/OJPS03.02.02 %P 75-86 %V 7 %N 9 %U orientaljphysicalsciences.org/article/52/ %8 - January 01,1970 %x - Abstract:We present a review on one of the latest developments in the field of dynamical systems, The nonlinear Targeted Energy Transfer (TET). The great significance of the phenomenon lies in the fact that the systems in which Nonlinear TET occurs present a form of self-tuning and can transfer energy over a wide variety of frequencies (resonances). This makes nonlinear TET particularly suitable in practical applications where it is necessary to extract energy from multiple ways of oscillation. Dynamical systems where nonlinear TET occurs are systems with different time scales and are singular. This property allows us to study such systems with the use of singular perturbation theory. It has been shown that Nonlinear TET is related to the bifurcation of the Slow Invariant Manifold of such systems and their slow flow. %0 - Journal Article %I - %@ - 0125-895