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Вестник Дагестанского государственного технического университета: Технические науки, 2020 . Aim Currently, the implementation of computational experiments to determine the probabilistic-temporal characteristics of protection functions for automated information systems is a complex and costly task. In order to study the dynamics of transitions
V. P. Alferov +4 more
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, 2007 Many complex systems are characterized by intriguing spatio-temporal structures. Their mathematical description relies on the analysis of appropriate correlation functions.
Tauber, Uwe C.
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Applied and Computational MechanicsAnalytical solutions of some contact problems are infinite functional series according to the system of basic functions. When constructing such solutions, it becomes necessary to represent the kernels of integral equations describing the process of ...
Kazakov K. E.
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Global Optimization, Local Adaptation, and the Role of Growth in Distribution Networks
, 2016 Highly-optimized complex transport networks serve crucial functions in many man-made and natural systems such as power grids and plant or animal vasculature.
Katifori, Eleni, Ronellenfitsch, Henrik
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The Dirichlet problem for complex Monge–Ampère equations and regularity of the pluri-complex Green function [PDF]
Communications in Analysis and Geometry, 1998 Regularity property are studied for solutions of the Dirichlet problem \[ (dd^c u)^n= \psi(z,u,\nabla u) \quad\text{in }\Omega, \qquad u=\varphi\quad\text{on }\partial\Omega, \tag{1} \] \(\Omega\) being a bounded domain in \(\mathbb{C}^n\) with \(C^\infty\) boundary. The main results obtained are as follows. Theorem 1.1.
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The inhomogeneous complex partial differential equations for bi-polyanalytic functions
AIMS Mathematics<abstract><p>In this paper, we study a Riemann-Hilbert problem related to inhomogeneous complex partial differential operators of higher order on the unit disk. Applying the Cauchy-Pompeiu formula, we find out the solvable conditions and obtain the representation of the solutions.
Yanyan Cui, Chaojun Wang
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Secants of Abelian Varieties, Theta functions, and Soliton Equations
, 1996 This paper is a survey on relations between secant identities and soliton equations and applications of soliton equations to problems of algebraic geometry, i.e., the Riemann-Schottky problem and its analogues.
Taimanov, I. A.
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ESAIM: Proceedings and Surveys, 2014 How do neurons coordinate in complex networks to achieve higher brain functions? Answering this question has relied on experimental approaches based on functional imaging, electrophysiology and microscopy imaging, but surprisingly ...
Holcman D.
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Discrete Sequential Information Coding: Heteroclinic Cognitive Dynamics
Frontiers in Computational Neuroscience, 2018 Discrete sequential information coding is a key mechanism that transforms complex cognitive brain activity into a low-dimensional dynamical process based on the sequential switching among finite numbers of patterns.
Mikhail I. Rabinovich, Pablo Varona
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Assessing lateral flows and solute transport during floods in a conduit-flow-dominated karst system using the inverse problem for the advection–diffusion equation [PDF]
Hydrology and Earth System Sciences, 2017 The aim of this study is to present a framework that provides new ways to characterize the spatio-temporal variability of lateral exchanges for water flow and solute transport in a karst conduit network during flood events, treating both the diffusive ...
C. Cholet +5 more
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