Results 221 to 230 of about 179,364 (266)

Duality of fractional systems

Communications in Nonlinear Science and Numerical Simulation, 2021
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Aleksander A. Stanislavsky, Aleksander Weron   +1 more
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Controlled fractional system

2016 5th Mediterranean Conference on Embedded Computing (MECO), 2016
Chaos theory deals with nonlinear things those are effectively impossible to predict or control, like turbulence, weather, the stock market, our brain states, and so on. These phenomena are often described by fractal mathematics, which captures the infinite complexity of nature. Rotated systems like stars, rotating solids, electromagnetic particles etc.
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Matrix fractional systems

Communications in Nonlinear Science and Numerical Simulation, 2015
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An Evaluation of a Plasma Fractionation System

Thrombosis and Haemostasis, 1960
SummaryFour primary fractions comprising at least 97 per cent of the plasma proteins have been critically appraised for evidence of denaturation arising from a low temperature—low ionic strength fractionation system. The results in addition to those referable to the recovery of mass and biological activity include the following: The high solubilities ...
G Y, SHINOWARA, M E, RUTH
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Fractional Polynomials and nD Systems

2005 IEEE International Symposium on Circuits and Systems, 2005
In this paper, the possibility of employing the 2D, and more generally nD systems approach for the analysis of fractional (more generally real) degree systems in both the commensurate and non-commensurate cases is shown. This approach effects in the significant reduction of a problem overall dimensionality, and in the second case, a 2D approach even ...
Krzysztof Galkowski, Anton Kummert
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Pseudochaotic Systems and Their Fractional Kinetics

International Journal of Modern Physics B, 2003
We describe a wide class of systems, which corresponds to the random non-chaotic dynamics with zero Lyapunov exponents. We call this type of dynamics pseudochaos and show that the corresponding kinetic description of such systems can be developed in the frame of the so-called fractional kinetics with space-time self-similarity.
Lyubomudrov, O., Edelman, M., Zaslavsky, G. M.   +2 more
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Approximation and Identification of Fractional Systems

Volume 6: 5th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, 2005
Heat transfer problems obey to diffusion phenomenon. They can be modelled with the help of fractional systems. The simulation of these particular systems is based on a fractional integrator where the non integer behaviour acts only on a limited spectral band.
Benchellal, Amel, Poinot, Thierry, Trigeassou, Jean-Claude   +2 more
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Initialization in fractional order systems

2001 European Control Conference (ECC), 2001
This paper proves the requirement of a time-varying initialization for fractional differential equations. This then requires a new definition for the fractional differintegral that includes the initialization and a new form of the Laplace transform of the fractional differintegral. An initialized fractional system theory is developed.
Carl F. Lorenzo, Tom T. Hartley
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Linear estimator for fractional systems

Signal, Image and Video Processing, 2012
We address the issue of state estimation of nonlinear incommensurate fractional-order systems via linear observer in this paper. The basic idea is proposed under a synchronization framework which makes the response system a linear observer for the state of the drive system.
Danial Mohammadi Senejohnny, Hadi Delavari   +1 more
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Continued fractions as dynamical systems

Applied Mathematics and Computation, 2012
In the paper under review, the authors study a dynamical systems approach to continued fractions. It is well-known that there is an interpretation of the continued fraction expansion process as a discrete two-dimensional dynamical system. On the contrary, in the present paper the authors study a new three-dimensional dynamical system which can be used ...
Felice Iavernaro, Donato Trigiante
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