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Exponential function projective synchronization of delayed discrete-time neural networks under saturation-based feedback controller
In this paper, exponential function projective synchronization (FPS) is examined for discrete-time neural networks (DT-NNs) with time-varying delays...
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The Position-Momentum Commutator as a Generalized Function: Resolution of the Apparent Discrepancy Between Continuous and Discrete Bases
It has been known for many years that the matrix representation of the one-dimensional position-momentum commutator calculated with the position and...
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Slit-Strip Ising Boundary Conformal Field Theory 1: Discrete and Continuous Function Spaces
This is the first in a series of articles about recovering the full algebraic structure of a boundary conformal field theory (CFT) from the scaling...
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Discrete fracmemristor model with the window function and its application in Logistic map
In recent years, the mathematical model of memristor has attracted extensive attention from researchers, but the boundary effect of the memristor...
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Discrete Dissipative Solitons
The existence of discrete dissipative solitons in a nonlinear lattice is studied. The Ablowitz-Ladik (AL) model with linear dam**, nonlinear cubic...
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Connecting Continuous and Discrete Wigner Functions Via GKP Encoding
Wigner function is an intuitive and powerful tool for understanding quantum systems in terms of functions on phase space. However, it is uniquely...
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Discrete Lagrangian Models
These lectures are devoted to discrete integrable Lagrangian models. A large collection of integrable models is presented in the Lagrangian fashion,...
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Discrete Ginzburg-Landau Solitons
In this chapter, we present a review of recent results concerning dissipative lattices of the Ginzburg-Landau type. Firstly, we study effects such as...
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Dynamic research of hidden attractors in discrete memristive neural network with trigonometric functions and FPGA implementation
Compared with the traditional chaotic discrete neural network model with monotonic input–output function, the discrete neural network model with...
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Discrete Painlevé Equations: A Review
We present a review of what is current knowledge about discrete Painlevé equations. We start with a historical introduction which explains how the...
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Generating quantum channels from functions on discrete sets
Using the recent ability of quantum computers to initialize quantum states rapidly with high fidelity, we use a function operating on a discrete set...
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One-parameter discrete-time Calogero–Moser system
AbstractWe present a new type of integrable one-dimensional many-body systems called a one-parameter Calogero–Moser system. At the discrete...
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Symmetries of Discrete Systems
In this series of lectures, we review the application of Lie point symmetries, and their generalizations, to the study of difference equations. The...
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Discrete-time quantum walk-based optimization algorithm
Optimization is a collection of principles that are used for problem solving in a vast spectrum of disciplines. Given the specifics of a problem and...
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Discrete Acoustics: ARMA-Modeling of Time Processes, Theory
AbstractIn physics, in particular, acoustics, time is traditionally considered as a continuous coordinate. Some exception is signal processing, where...
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A discrete basis for celestial holography
Celestial holography provides a reformulation of scattering amplitudes in four dimensional asymptotically flat spacetimes in terms of conformal...
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Matrix Valued Discrete–Continuous Functions with the Prolate Spheroidal Property and Bispectrality
Classical prolate spheroidal functions play an important role in the study of time-band limiting, scaling limits of random matrices, and the...
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Discrete Probability Distributions
The main properties of discrete probability distributions are presented. Joint, marginal, and conditional distributions are introduced, with the main...
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Discrete Differential Geometry. Integrability as Consistency
We discuss a new geometric approach to discrete integrability coming from discrete differential geometry. A d–dimensional equation is called...