Results 71 to 80 of about 10,399 (114)

Normal form transformations for structural dynamics: An introduction for linear and nonlinear systems. [PDF]

open access: possibleJournal of Structural Dynamics, 2022
The aim of this paper is to provide an introduction to using normal form transformations for linear and nonlinear structural dynamics examples. Starting with linear single-degree-of-freedom systems, a series of examples are presented that eventually lead to the analysis of a system of two coupled nonlinear oscillators.
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Observer normal form design for the nonlinear MIMO systems using coupled auxiliary dynamics

Communications in Nonlinear Science and Numerical Simulation, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jie Liu   +4 more
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Lie point-symmetries and Poincare normal forms for dynamical systems

Journal of Physics A: Mathematical and General, 1990
The problem of finding the extended Lie-point time-independent symmetries of autonomous systems of ordinary differential equations is compared with the Poincare procedure of reducing the system to linear or normal form, showing a close relationship between the two problems.
CICOGNA, GIAMPAOLO, Gaeta G.
openaire   +2 more sources

Two flat normal forms for a class of nonlinear dynamical systems

2010 11th International Conference on Control Automation Robotics & Vision, 2010
In this paper we presents two new 0-flat normal forms. It deals with sufficient geometrical conditions which enable us to conclude if a given nonlinear controllable dynamical system can be transformed, by means of change of coordinates, to one of these normal forms. In the same way it gives an algorithm to compute the flat outputs.
Soraya Bououden   +2 more
openaire   +1 more source

A perturbation method for computing the simplest normal forms of dynamical systems

Journal of Sound and Vibration, 2003
Abstract A previously developed perturbation method is generalized for computing the simplest normal form (at each level of computation, the minimum number of terms are retained) of general n -dimensional differential equations. This “direct” approach, combining the normal form theory with center manifold theory in one unified procedure, can be used
P. Yu, A.Y.T. Leung
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