Dynamical analysis of a model of BCL-2-dependent cellular decision making. [PDF]
Cloete I, Alarcón T.
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Accurate and Affordable Vibrational Spectra of Large Molecules: Primary, Auxiliary, and Spectator Modes in a Perturb-then-Diagonalize Framework. [PDF]
Barone V, Lazzari F, Mendolicchio M.
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A complex network perspective on brain disease. [PDF]
Papo D, Buldú JM.
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Predictive coding and neurocomputational psychiatry: a mechanistic framework for understanding mental disorders. [PDF]
Shaw AD, Sumner RL, Berndt LCS.
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Normal form transformations for structural dynamics: An introduction for linear and nonlinear systems. [PDF]
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, 2023zbMATH 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, 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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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
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