Normal forms for dynamical systems

Results 31 to 40 of about 10,399 (114)

A general symmetry preserving reduction scheme and normal form for dynamical systems with a compact symmetry group

, 2004
We present a generalized Lyapunov Schmidt reduction scheme for diffeomorphisms living on a finite dimensional real vector space V which transform under real one dimensional characters of an arbitrary compact group with linear action V. Moreover we prove a normal form theorem, such that the normal form still has the desirable transformation properties ...
Ciocci, Maria Cristina, Noldus, Johan
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A Closed Form Solution for the Normal Form and Zero Dynamics of a Class of Nonlinear Systems

, 2018
The normal form and zero dynamics are powerful tools useful in analysis and control of both linear and nonlinear systems. There are no simple closed form solutions to the general zero dynamics problem for nonlinear systems. A few algorithms exist for determining the zero dynamics, but none is straightforward and all are difficult to apply to large ...
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An Improved Recursive Formula for Computing Normal Forms of Multi-dimensional Dynamical Systems

Journal of Applied Sciences, 2013
Lei Guo, Qunhong Li, Zigen Song .
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Multistability, Chaos, and Control in the Deterministic and Stochastic Dynamics of Noise-Driven Nonlinear Oscillators. [PDF]

Entropy (Basel)
Jhangeer A, Abdelkader A.
europepmc +1 more source

Effects of strong parametric excitation on cantilever beam: non-perturbative approach. [PDF]

Sci Rep
Moatimid GM, Amer TS, Elagamy K.
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Bifurcation analysis and soliton solutions of the generalized third-order nonlinear Schrödinger equation using two analytical approaches. [PDF]