Results 11 to 20 of about 2,073 (254)

Numerical Modeling Tools and S-derivatives

Моделирование и анализ информационных систем, 2022
Numerical study of various processes leads to the need of clarification (extensions) of the limits of applicability of computational constructs and modeling tools.
Anatoly Nikolaevich Morozov
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Complexities of differentiable dynamical systems [PDF]

Journal of Mathematical Physics, 2020
We define the notion of localizable property for a dynamical system. Then, we survey three properties of complexity and relate how they are known to be typical among differentiable dynamical systems. These notions are the fast growth of the number of periodic points, the positive entropy, and the high emergence.
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Protocol Discovery for the Quantum Control of Majoranas by Differentiable Programming and Natural Evolution Strategies

PRX Quantum, 2021
Quantum control, which refers to the active manipulation of physical systems described by the laws of quantum mechanics, constitutes an essential ingredient for the development of quantum technology.
Luuk Coopmans, Di Luo, Graham Kells, Bryan K. Clark, Juan Carrasquilla   +4 more
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Global stability in a modified Leslie-Gower type predation model assuming mutual interference among generalist predators

Mathematical Biosciences and Engineering, 2020
In the ecological literature, mutual interference (self-interference) or competition among predators (CAP) to effect the harvesting of their prey has been modeled through different mathematical formulations.
Eduardo Gonzalez-Olivares, Alejandro Rojas-Palma   +1 more
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Temporal Asymmetry, Entropic Irreversibility, and Finite-Time Thermodynamics: From Parmenides–Einstein Time-Reversal Symmetry to the Heraclitan Entropic Arrow of Time

Entropy, 2012
In this paper, we combine the two universalisms of thermodynamics and dynamical systems theory to develop a dynamical system formalism for classical thermodynamics. Specifically, using a compartmental dynamical system energy flow model we develop a state-
Wassim M. Haddad
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Classical Fisher information for differentiable dynamical systems

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2023
Fisher information is a lower bound on the uncertainty in the statistical estimation of classical and quantum mechanical parameters. While some deterministic dynamical systems are not subject to random fluctuations, they do still have a form of uncertainty.
Mohamed Sahbani, Swetamber Das, Jason R. Green   +2 more
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Human Brain Networks: Spiking Neuron Models, Multistability, Synchronization, Thermodynamics, Maximum Entropy Production, and Anesthetic Cascade Mechanisms

Entropy, 2014
Advances in neuroscience have been closely linked to mathematical modeling beginning with the integrate-and-fire model of Lapicque and proceeding through the modeling of the action potential by Hodgkin and Huxley to the current era.
Wassim M. Haddad, Qing Hui, James M. Bailey   +2 more
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Topological dynamics and linear differential systems

Journal of Differential Equations, 1982
Topological dynamics and linear differential ...
JOHNSON, RUSSELL ALLAN, R. Ellis
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Robust Stability of a Class of Uncertain Lur'e Systems of Neutral Type

Abstract and Applied Analysis, 2012
This paper deals with the problem of stability for a class of Lur’e systems with interval time-varying delay and sector-bounded nonlinearity. The interval time-varying delay function is not assumed to be differentiable.
W. Weera, P. Niamsup
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Translation equation and Sincov’s equation – A historical remark

ESAIM: Proceedings and Surveys, 2014
Gottlob Frege (1848 – 1925), the world famous logician was also a pioneer in iteration theory. His habilitation thesis “Rechnungsmethoden, die sich auf eine Erweiterung des Grössenbegriffes gründen” (“Methods of Calculation based on
Gronau Detlef
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