Commutation power of electrical circuits in extreme conditions

<p>The interatomic Chebyshev Interaction Model for Efficient Simulation (ChIMES) is based on linear combinations of Chebyshev polynomials describing explicit two- and three-body interactions. Recently, the ChIMES model has been developed and applied to a molten metallic system of a single atom type (carbon), as well as a non-reactive molecular system of two atom types at ambient conditions (water). Here, we continue application of ChIMES to increasingly complex problems through extension to a reactive system. Specifically, we develop a ChIMES model for carbon monoxide under extreme conditions, with built-in transferability to nearby state points. We demonstrate that the resulting model recovers much of the accuracy of DFT while exhibiting a 10<sup>4</sup>increase in efficiency, linear system size scalability and the ability to overcome the significant system size effects exhibited by DFT.</p>

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Scientific substantiation of medical and biological requirements for the development of exoskeletons for use in various professions and extreme conditions of activity

OCCUPATION AND HEALTH: Proceedings of the second international youth Forum ◽

10.31089/978-5-907032-51-4-2018-1-153-159 ◽

2018 ◽

Author(s):

И.Ф. Ляшко ◽

◽

В.Н. Лысухин ◽

О.П. Непершина ◽

М.С. Брылева

Keyword(s):

Extreme Conditions ◽

Scientific Substantiation

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Mathematical views of the fractional Chua's electrical circuit described by the Caputo-Liouville derivative

Revista Mexicana de Física ◽

10.31349/revmexfis.67.91 ◽

2021 ◽

Vol 67 (1 Jan-Feb) ◽

pp. 91

Author(s):

N. Sene

Keyword(s):

Caputo Derivative ◽

Local Stability ◽

Numerical Scheme ◽

Equilibrium Points ◽

Electrical Circuit ◽

Maximal Lyapunov Exponent ◽

Electrical Circuits ◽

Adaptive Controls ◽

Liouville Derivative

This paper revisits Chua's electrical circuit in the context of the Caputo derivative. We introduce the Caputo derivative into the modeling of the electrical circuit. The solutions of the new model are proposed using numerical discretizations. The discretizations use the numerical scheme of the Riemann-Liouville integral. We have determined the equilibrium points and study their local stability. The existence of the chaotic behaviors with the used fractional-order has been characterized by the determination of the maximal Lyapunov exponent value. The variations of the parameters of the model into the Chua's electrical circuit have been quantified using the bifurcation concept. We also propose adaptive controls under which the master and the slave fractional Chua's electrical circuits go in the same way. The graphical representations have supported all the main results of the paper.

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