Results 1 to 10 of about 33,424 (118)

Integral Equations of Non-Integer Orders and Discrete Maps with Memory [PDF]

Mathematics, 2021
In this paper, we use integral equations of non-integer orders to derive discrete maps with memory. Note that discrete maps with memory were not previously derived from fractional integral equations of non-integer orders.
Vasily E. Tarasov
doaj   +4 more sources

Kicked General Fractional Lorenz-Type Equations: Exact Solutions and Multi-Dimensional Discrete Maps [PDF]

Entropy
Lorenz-type systems are dissipative dynamical systems that are described by three nonlinear equations with derivatives of the first order and are capable of exhibiting chaotic behavior.
Vasily E. Tarasov
doaj   +2 more sources

Periodically Kicked Rotator with Power-Law Memory: Exact Solution and Discrete Maps

Fractal and Fractional
This article discusses the transformation of a continuous-time model of the fractional system into a discrete-time model of the fractional system. For the continuous-time model, the exact solution of the nonlinear equation with fractional derivatives ...
Vasily E. Tarasov
doaj   +2 more sources

An efficient image encryption algorithm using a discrete memory-based logistic map with deep neural network

Journal of Engineering and Applied Science
In the last few years, multimedia technology has made tremendous strides. These days, the Web is frequently used to transfer multimedia content, including audio, video, and photos.
B. Sakthi Kumar, R. Revathi
doaj   +2 more sources

Discrete Memristor and Discrete Memristive Systems

Entropy, 2022
In this paper, we investigate the mathematical models of discrete memristors based on Caputo fractional difference and G–L fractional difference. Specifically, the integer-order discrete memristor is a special model of those two cases.
Shaobo He, Donglin Zhan, Huihai Wang, Kehui Sun, Yuexi Peng   +4 more
doaj   +1 more source

Quantum Maps with Memory from Generalized Lindblad Equation

Entropy, 2021
In this paper, we proposed the exactly solvable model of non-Markovian dynamics of open quantum systems. This model describes open quantum systems with memory and periodic sequence of kicks by environment. To describe these systems, the Lindblad equation
Vasily E. Tarasov
doaj   +1 more source

Active maintenance of CD8+ T cell naivety through regulation of global genome architecture

Cell Reports, 2023
Summary: The differentiation of naive CD8+ T lymphocytes into cytotoxic effector and memory CTL results in large-scale changes in transcriptional and phenotypic profiles. Little is known about how large-scale changes in genome organization underpin these
Brendan E. Russ, Adele Barugahare, Pushkar Dakle, Kirril Tsyganov, Sara Quon, Bingfei Yu, Jasmine Li, Jason K.C. Lee, Moshe Olshansky, Zhaohren He, Paul F. Harrison, Michael See, Simone Nussing, Alison E. Morey, Vibha A. Udupa, Taylah J. Bennett, Axel Kallies, Cornelis Murre, Phillipe Collas, David Powell, Ananda W. Goldrath, Stephen J. Turner   +21 more
doaj   +1 more source

Measured Composite Collision Models: Quantum Trajectory Purities and Channel Divisibility

Entropy, 2022
We investigate a composite quantum collision model with measurements on the memory part, which effectively probe the system. The framework allows us to adjust the measurement strength, thereby tuning the dynamical map of the system. For a two-qubit setup
Konstantin Beyer, Kimmo Luoma, Tim Lenz, Walter T. Strunz   +3 more
doaj   +1 more source

The State Change Per Cycle Map: a novel system-theoretic analysis tool for periodically-driven ReRAM cells

Frontiers in Electronic Materials, 2023
Memristive devices are the subject of extensive studies nowadays. While the Dynamic Route Map is a powerful tool for analyzing the response of first-order memristors under DC stimuli, the development of an equivalent tool for investigating the response ...
A. Ascoli, N. Schmitt, I. Messaris, A. S. Demirkol, R. Tetzlaff, L. O. Chua   +5 more
doaj   +1 more source

Predator‐prey models with memory and kicks: Exact solution and discrete maps with memory

Mathematical Methods in the Applied Sciences, 2021
In this paper, we proposed new predator‐prey models that take into account memory and kicks. Memory is understood as the dependence of current behavior on the history of past behavior. The equations of these proposed models are generalizations of the Lotka‐Volterra and Kolmogorov equations by using the Caputo fractional derivative of non‐integer order ...
openaire   +2 more sources