Encyclopedia of Complexity and Systems Science

Living Edition
| Editors: Robert A. Meyers

Nonlinear Dynamics, Symmetry and Perturbation Theory in

Living reference work entry
DOI: https://doi.org/10.1007/978-3-642-27737-5_361-3

Definition of the Subject

Given a differential equation or system of differential equations Δ with independent variables ξaΞRq and dependent variables xaMRp, a symmetry of Δ is an invertible transformation of the extended phase space \( \tilde{M}=\varXi \times M \)


Vector Field Perturbation Theory Normal Form Symmetry Reduction Approximate Symmetry 
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© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.Dipartimento di MatematicaUniversità degli Studi di MilanoMilanItaly