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Acta Mechanica, 2015
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Xu, Yan-Li, Luo, Shao-Kai
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Xu, Yan-Li, Luo, Shao-Kai
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Nonlinear fractional dynamics with Kicks
Chaos, Solitons & Fractals, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Void fraction dynamics in fluidization
AIP Conference Proceedings, 1992A nonlinear evolution equation for void fraction in fluidization is derived from a one‐dimensional continuous model by applying the method of adiabatic eliminations. Based on our equation, the dynamics near the transitions point from stable fluidized beds to unstable ones is investigated. Phase separations in fluidized beds are also discussed.
Shin-ichi Sasa, Hisao Hayakawa
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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 Dynamics: A Statistical Perspective
Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, 2007Fractional calculus is a mathematical paradigm that has been increasingly adopted to describe the dynamics of systems with hereditary characteristics, or that reflect an average of a large population of micro elements. In this line of thought, this article analyzed the statistical dynamics of a system composed of a large number of micro-mechanical ...
Tenreiro Machado, J. A. +1 more
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Physica A: Statistical Mechanics and its Applications, 2000
A new extension of a fractality concept in nancial mathematics has been developed. We have introduced a new fractional Langevin-type stochastic dierential equation that diers from the standard Langevin equation: (i) by replacing the rst-order derivative with respect to time by the fractional derivative of order ; and (ii) by replacing \white noise ...
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A new extension of a fractality concept in nancial mathematics has been developed. We have introduced a new fractional Langevin-type stochastic dierential equation that diers from the standard Langevin equation: (i) by replacing the rst-order derivative with respect to time by the fractional derivative of order ; and (ii) by replacing \white noise ...
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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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Fractional Dynamics in Mechanical Manipulation
Journal of Computational and Nonlinear Dynamics, 2007This paper analyzes the signals captured during the movement of a mechanical manipulator carrying a liquid container. In order to study the signals, an experimental setup is implemented. The system acquires data from the sensors, in real time, and, in a second phase, processes them through an analysis package.
Lima, Miguel F. M. +2 more
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2010
The dynamical system is a notion for any fixed map, which describes the time dependence of a position in its space of states. At any given time a dynamical system has a state given by a vector x, which can be represented by a point in an appropriate state space. Infinitesimal changes in the state of the system correspond to small changes in the vectors.
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The dynamical system is a notion for any fixed map, which describes the time dependence of a position in its space of states. At any given time a dynamical system has a state given by a vector x, which can be represented by a point in an appropriate state space. Infinitesimal changes in the state of the system correspond to small changes in the vectors.
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Fractional Nonholonomic Dynamics
2010Nonholonomic dynamics describes systems constrained by nonintegrable relationships. The constraint, called holonomic constraint, depends only on the coordinates. It does not depend on the velocities. Velocity dependent constraints such as could be holonomic constraints if it can be integrated into a simple holonomic constraint. A constraint that cannot
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