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Buehler, M. J., van Duin, A. C. T. & Goddard, W. A. Multiparadigm modeling of dynamical crack propagation in silicon using a reactive force field.
Our study highlights the importance of considering the multiplex character of most real networked systems, and shows that considering layers as relevant entities of a network (such as nodes and links at the micro-scale or communities at the meso-scale) will contribute to a better understanding and modeling of dynamical processes taking place at the level of aggregate network.
This work presents, in particular, the key improvements made to the TRACE model that helped to improve the code predictions, including the modeling of dynamical heat losses, the nodalization of SGs' heat exchanger tubes and the ACCs.
Positive dynamical systems play an important role in the modeling of dynamical phenomena whose variables are restricted to be nonnegative.
A possible alternative which brings together computational portability with mathematical tractability is represented by neuron astrocyte mass modeling of dynamical interactions between neurons and astrocytes populations.
Fractional calculus (differentiation and integration of arbitrary order) has proved to be an important tool in the modeling of dynamical systems associated with phenomena such as fractals and chaos.
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Finally, via applications to several models of dynamical networks and human brain images, we demonstrate how information dynamics relates the structure of complex networks to their function, and how it can invert such analysis to infer structure from dynamics.
Horska, J. "Comparison of sensitivity properties of selected models of dynamical systems," Radioengineering, vol.9, no.3, pp.17-21.
System identification concerns the construction and validation of mathematical models of dynamical systems from experimental data.
In almost all fields of mechanical engineering, the mathematical models of dynamical systems become more and more computationally expensive.
The paper presents a general approach to fault detection and isolation based on symbolic models of dynamical systems.
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