Results 191 to 200 of about 10,875 (219)
Some of the next articles are maybe not open access.
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
openaire +2 more sources
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.
openaire +3 more sources
A perturbation method for computing the simplest normal forms of dynamical systems
Journal of Sound and Vibration, 2003Abstract 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
openaire +1 more source
THE NORMAL FORMS, AVERAGING AND THE RESONANCE CONTROL OF NONLINEAR DYNAMICAL SYSTEMS
IFAC Proceedings Volumes, 1992Abstract The generalized normal forms and resonance control methodology is used to analyze and design efficient control of two generic mechanical systems. The first system represents a reduced model arising in nonlinear flexible- body dynamics, while the second describes an unstable regime of aircraft flight relevant to the saddle-node bifurcation ...
openaire +1 more source
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.
openaire +1 more source
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
openaire +2 more sources
On constrained dynamics and a pseudo-normal form for nonlinear systems
Proceedings of 1994 33rd IEEE Conference on Decision and Control, 2002A nonlinear system in pseudo-normal form has the property that its family of linearizations about constant operating points specifies a family of linear systems in normal form. The purpose of this paper is to show that under certain assumptions a pseudo-normal form can be defined that has the following properties in common with the exact normal form: a
openaire +1 more source
Anticontrol of chaos for dynamic systems in p-normal form: A homogeneity-based approach
Chaos, Solitons & Fractals, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yang, Ruoting +3 more
openaire +2 more sources
Improved Adjoint Operator Method and Normal Form of Nonlinear Dynamical System
Applied Mechanics and Materials, 2013An improved adjoint operator based on the adjoint operator concept of linear operator and S-N decomposition is proposed to calculate the normal forms of k order general nonlinear dynamic systems.Firstly, the whole polynomial solution space of homogeneous nilpotent partial differential equation are obtained.Secondly, the polynomial solution mentioned ...
Jun Jun Li, Xiao Qing Liu, Shi Zhu Yang
openaire +1 more source
Normal form solutions of dynamical systems in the basin of attraction of their fixed points
Physica D: Nonlinear Phenomena, 1988zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bountis, Tassos +2 more
openaire +1 more source