Results 241 to 250 of about 12,042 (291)
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On the Algebraic Problem Concerning the Normal Forms of Linear Dynamical Systems
American Journal of Mathematics, 1936Introduction. Let m be the number of degrees of freedom of a linear conservative dynamical systenm and let the point (q1, q2,9 * , q'Mn Pl p2, . . . p'mt) of the phase space be denoted by x = (xl, x2, , x.2M). A system of 2m ordinary differential equations of the first order, which are homogeneous, linear and do not contain t explicitly, is a canonical
J. Williamson
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Lie point-symmetries and Poincare normal forms for dynamical systems
Journal of Physics A: Mathematical and General, 1990The 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.
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Two flat normal forms for a class of nonlinear dynamical systems
2010 11th International Conference on Control Automation Robotics & Vision, 2010In 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
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Counter-Examples in Dynamical Systems via Normal Form Theory
SIAM Review, 1986Bei der Behandlung gewöhnlicher Differentialgleichungen beschränkt man sich häufig auf die linearisierte Form, da diese - auf die Normalform gebracht - geschlossen gelöst werden kann. Bei bestimmten Differentialgleichungsformen versagt diese Methode. Verf.
K. Meyer
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Normal form of holomorphic dynamical systems
2008This article represents the expanded notes of my lectures at the ASI "Ham- iltonian Dynamical Systems and applications". We shall present various recent re- sults about normal forms of germs of holomorphic vector fields at a fixed point in C n . We shall explain how relevant it is for geometric as well as for dynamical pur- pose.
L. Stolovitch
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Analysis of non-linear dynamical systems by the normal form theory
Journal of Sound and Vibration, 1991A method is proposed for calculating the periodic solutions of non-linear mechanical systems with analytical non-linearities. The Jordan normalization procedure for the case of non-linear autonomous systems is described and generalized to dampened harmonically excited oscillators.
Jézéquel, Louis +1 more
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Rational normal form for dynamical systems by Carleman linearization
Proceedings of the 1999 international symposium on Symbolic and algebraic computation, 1999Guoting Chen, Jean Della Dora
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Extended nonlinear observer normal forms for a class of nonlinear dynamical systems
International Journal of Robust and Nonlinear Control, 2015Driss Boutat
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Nonlinear Normal Modes of Vibrating Mechanical Systems: 10 Years of Progress
Applied Mechanics Review, 2023This paper contains review of the theory and applications of nonlinear normal modes, which are developed during last decade. This review has more than 200 references. It is a continuation of two previous review papers of the same authors (Mikhlin Y.V.,
Y. Mikhlin, K. Avramov
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Normal form analysis of stochastically forced dynamical systems
Dynamics and Stability of Systems, 1986The possibility of reducing the dynamics of a system undergoing a Hopf bifurcation and forced by multiplicative noise to a universal normal form is examined on a simple model of geophysical interest. It is shown that the normal form equations and the stationary probability distribution depend on the way the noise is coupled to the original system.
Nicolis, Catherine, Nicolis, Grégoire
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