Results 21 to 30 of about 157,604 (263)
A Fractional-Order Discrete Noninvertible Map of Cubic Type: Dynamics, Control, and Synchronization
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
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Discrete chaos in a novel two-dimensional fractional chaotic map
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
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Multidimensional Discrete Chaotic Maps
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
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The discrete dynamics of monotonically decomposable maps [PDF]
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.
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Discreteness Of Hyperbolic Isometries by Test Maps
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
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Testing the Strength of Chaotic Systems as Seeds in a Pseudo Random Bit Generator
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
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Optimizing Chaotic Behavior: Systematic Shifting and Operations for Robust 1-D Chaotic Maps
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
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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
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Novel two dimensional fractional-order discrete chaotic map and its application to image encryption
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
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The Network Global Optimal Mapping Approach Utilizing a Discrete Firefly Optimization Algorithm
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
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