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Mathematical analysis and simulation of an ABC fractional Zika virus model with natural transform and stability assessment. [PDF]
Mariantony Michael J +4 more
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A numerical framework for fractional and fractal-fractional analysis of the Pehlivan chaotic system using Caputo derivative. [PDF]
Vinoth R, Jayalakshmi M.
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A theoretical and computational study of the fractional Brusselator system with neural network validation. [PDF]
Ahmad S +5 more
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Nonlinear fractional dynamics with Kicks
Chaos, Solitons and Fractals, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vasily E Tarasov
exaly +3 more sources
Symbolic Fractional Dynamics [PDF]
Fractional dynamics reveals long range memory properties of systems described by means of signals represented by real numbers. Alternatively, dynamical systems and signals can adopt a representation where states are quantified using a set of symbols. Such signals occur both in nature and in man made processes and have the potential of a aftermath as ...
Machado, J. A. Tenreiro +1 more
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Fractional dynamics of populations
Applied Mathematics and Computation, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Margarita Rivero +3 more
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Fractional Dynamics of PMU Data
IEEE Transactions on Smart Grid, 2021Novel dynamics are emerging in the power system due to the new Smart Grid (SG) environment. The high sampling rate of the Phasor Measurement Units (PMUs) enables them to capture the dynamic fluctuations in the power system measurements. Understanding the statistical and dynamic characteristics of the PMU data requires advanced data analytics techniques
Laith Shalalfeh +2 more
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FOUNDATIONS OF FRACTIONAL DYNAMICS
Fractals, 1995Time flow in dynamical systems is reconsidered in the ultralong time limit. The ultralong time limit is a limit in which a discretized time flow is iterated infinitely often and the discretization time step is infinite. The new limit is used to study induced flows in ergodic theory, in particular for subsets of measure zero.
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Fractional Brownian dynamics in proteins
The Journal of Chemical Physics, 2004Correlation functions describing relaxation processes in proteins and other complex molecular systems are known to exhibit a nonexponential decay. The simulation study presented here shows that fractional Brownian dynamics is a good model for the internal dynamics of a lysozyme molecule in solution.
Kneller, Gerald, Hinsen, Konrad
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