Results 21 to 30 of about 106,795 (268)

Fractional systems and fractional Bogoliubov hierarchy equations [PDF]

open access: yesPhysical Review E, 2005
We consider the fractional generalizations of the phase volume, volume element and Poisson brackets. These generalizations lead us to the fractional analog of the phase space. We consider systems on this fractional phase space and fractional analogs of the Hamilton equations. The fractional generalization of the average value is suggested.
openaire   +3 more sources

Fraction Reduction in Membrane Systems [PDF]

open access: yesThe Scientific World Journal, 2014
Fraction reduction is a basic computation for rational numbers. P system is a new computing model, while the current methods for fraction reductions are not available in these systems. In this paper, we propose a method of fraction reduction and discuss how to carry it out in cell-like P systems with the membrane structure and the rules with priority ...
Ping Guo   +3 more
openaire   +3 more sources

Fractional Modeling of the AC Large-Signal Frequency Response in Magnetoresistive Current Sensors

open access: yesSensors, 2013
Fractional calculus is considered when derivatives and integrals of non-integer order are applied over a specific function. In the electrical and electronic domain, the transfer function dependence of a fractional filter not only by the filter order n ...
Sergio Iván Ravelo Arias   +5 more
doaj   +1 more source

Conserved Quantities for Constrained Hamiltonian System within Combined Fractional Derivatives

open access: yesFractal and Fractional, 2022
Singular systems, which can be applied to gauge field theory, condensed matter theory, quantum field theory of anyons, and so on, are important dynamic systems to study.
Chuanjing Song
doaj   +1 more source

Generalized Hamilton system and fractional gradient system

open access: yesAIP Advances, 2023
This work studies the relationships between the generalized Hamilton and fractional gradient systems. We provide a new condition for generalized Hamilton systems to be any order (integer or non-integer) fractional gradient systems, which differs from ...
Peng Wang, Feng Gao
doaj   +1 more source

High-Performance Identification and Control of MIMO (Multiple Input—Multiple Output) Experimental Module with Fractional-Order Approach Application

open access: yesFractal and Fractional
This paper focuses on the application of fractional calculus techniques in the identification and control of multivariable (multiple input—multiple output) systems (MIMO).
Alexandre Marques de Almeida   +4 more
doaj   +1 more source

Application of the Drazin inverse to the analysis of pointwise completeness and pointwise degeneracy of descriptor fractional linear continuous–time systems

open access: yesInternational Journal of Applied Mathematics and Computer Science, 2020
The Drazin inverse of matrices is applied to the analysis of pointwise completeness and pointwise degeneracy of fractional descriptor linear continuous-time systems. It is shown that (i) descriptor linear continuous-time systems are pointwise complete if
Kaczorek Tadeusz, Ruszewski Andrzej
doaj   +1 more source

Variable Doppler Starting Point Keystone Transform for Radar Maneuvering Target Detection

open access: yesRemote Sensing
The Doppler band compensated by the keystone transform (KT) is limited. Therefore, it needs to be used in conjunction with the Doppler ambiguity compensation function to correct the range migration (RM) caused by maneuvering targets with Doppler ...
Wei Jia   +4 more
doaj   +1 more source

Time-Delay Fractional Variable Order Adaptive Synchronization and Anti-Synchronization between Chen and Lorenz Chaotic Systems Using Fractional Order PID Control

open access: yesFractal and Fractional, 2022
In this research work, time-delay adaptive synchronization and adaptive anti-synchronization of chaotic fractional order systems are analyzed via the Caputo fractional derivative, and the prob-lem of synchronization and anti-synchronization of chaotic ...
Joel Perez Padron   +3 more
doaj   +1 more source

Complex Systems and Fractional Dynamics [PDF]

open access: yesEntropy, 2018
Complex systems (CS) are pervasive in many areas of science and technology, namely in financialmarkets, transportation, telecommunication and social networks, world and country economies,immunological systems, living organisms, computational systems, and electrical and mechanicalstructures [...]
António M. Lopes 0001   +1 more
openaire   +3 more sources

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