Steindl, A. (2023). Normal Forms. In J. R. C. Piqueira, C. Mazzilli, C. Pesce, & G. Franzini (Eds.), Lectures on Nonlinear Dynamics (pp. 57–104). Springer. https://doi.org/10.1007/978-3-031-45101-0_3
Normal Form reduction; Hamiltonian Systems; Nonlinear Normal Modes
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Abstract:
Normal Form Theory helps to simplify linear and nonlinear dynamical systems by reducing the number of terms in the equations and by introducing a symmetry in the system. It is demonstrated, how this Normal Form reduction is applied depending on the properties of the Jordan Normal Form for the linearized system.
