Results 21 to 30 of about 157,604 (263)

A Fractional-Order Discrete Noninvertible Map of Cubic Type: Dynamics, Control, and Synchronization

open access: yesComplexity, 2020
In this paper, a new fractional-order discrete noninvertible map of cubic type is presented. Firstly, the stability of the equilibrium points for the map is examined.
Xiaojun Liu   +3 more
doaj   +1 more source

Discrete chaos in a novel two-dimensional fractional chaotic map

open access: yesAdvances in Difference Equations, 2018
In this paper, a two-dimensional discrete fractional reduced Lorenz map is achieved by utilizing discrete fractional calculus. By adopting the bifurcation diagrams, chaos diagram, and phase portraits, the chaotic dynamics of the two-dimensional discrete ...
Jie Ran
doaj   +1 more source

Multidimensional Discrete Chaotic Maps

open access: yesFrontiers in Physics, 2022
In this paper, the general concept of multidimensional discrete maps is presented. Moreover, new and fundamental results show the invariance of the bifurcation points from periodic to chaotic behavior.
Maide Bucolo   +6 more
doaj   +1 more source

The discrete dynamics of monotonically decomposable maps [PDF]

open access: yesJournal of Mathematical Biology, 2006
We extend results of Gouzé and Hadeler (in Nonlinear World 1:23-34, 1994) concerning the dynamics generated by a map on an ordered metric space that can be decomposed into increasing and decreasing parts. Our main results provide sufficient conditions for the existence of a globally asymptotically stable fixed point for the map.
openaire   +3 more sources

Discreteness Of Hyperbolic Isometries by Test Maps

open access: yesOsaka Journal of Mathematics, 2018
Let $\mathbb F=\mathbb R$, $\mathbb C$ or $\mathbb H$. Let ${\bf H}_{\mathbb F}^n$ denote the $n$-dimensional $\mathbb F$-hyperbolic space. Let ${\rm U}(n,1; \mathbb F)$ be the linear group that acts by the isometries. A subgroup $G$ of ${\rm U}(n,1; \mathbb F)$ is called \emph{Zariski dense} if it does not fix a point on the closure of the $\mathbb F$-
Gongopadhyay, Krishnendu   +2 more
openaire   +3 more sources

Testing the Strength of Chaotic Systems as Seeds in a Pseudo Random Bit Generator

open access: yesIEEE Access
Chaotic random bit generators have become an integral part of chaotic cryptography and other data protection applications, where they are used as sources of deterministic randomness, to secure an information signal.
Lazaros Moysis   +5 more
doaj   +1 more source

Optimizing Chaotic Behavior: Systematic Shifting and Operations for Robust 1-D Chaotic Maps

open access: yesJournal of Low Power Electronics and Applications
In this work, we present a systematic framework to optimize robust 1-D chaotic maps, focusing on expanding the uninterrupted chaotic region and enhancing chaotic properties throughout the entire parameter space.
Mrittika Chowdhury   +4 more
doaj   +1 more source

Analysis of a Novel Amplitude-Controlled Memristive Hyperchaotic Map and Its Utilization in Image Encryption

open access: yesSensors
In this paper, a global amplitude-controlled discrete hyperchaotic memristive map is designed utilizing the hyperbolic tangent function. This map exhibits fixed points arranged in a line along the y-axis, and the stability distributions of these fixed ...
Wenfeng Yang   +6 more
doaj   +1 more source

Novel two dimensional fractional-order discrete chaotic map and its application to image encryption

open access: yesApplied Computing and Informatics, 2018
A new fractional two dimensional triangle function combination discrete chaotic map (2D-TFCDM) is proposed by utilizing the discrete fractional calculus. Furthermore, the chaos behaviors are numerically discussed in the fractional-order difference.
Zeyu Liu, Tiecheng Xia
doaj   +1 more source

The Network Global Optimal Mapping Approach Utilizing a Discrete Firefly Optimization Algorithm

open access: yesJournal of Advanced Transportation, 2022
The three methods, agent-based model (ABM), product life cycle management (PLM), and discrete firefly optimization algorithm (DFOA), used herein rely on local infrastructure functions after reviewing the local and global functions.
He Jia, Li Xiaomei
doaj   +1 more source

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