scispace - formally typeset
Journal ArticleDOI

Two-Dimensional Modular Chaotification System for Improving Chaos Complexity

Reads0
Chats0
TLDR
Improved chaotic maps of 2D-MCS are applied to secure communication and show that these improved chaotic maps exhibit better performance than several existing and newly developed chaotic maps in terms of resisting different channel noise.
Abstract
Chaotic systems are widely studied in various research areas such as signal processing and secure communication. Existing chaotic systems may have drawbacks such as discontinuous chaotic ranges and incomplete output distributions. These drawbacks may lead to the defects of some chaos-based applications. To accommodate these challenges, this paper proposes a two-dimensional (2D) modular chaotification system (2D-MCS) to improve the chaos complexity of any 2D chaotic map. Because the modular operation is a bounded transform, the improved chaotic maps by 2D-MCS can generate chaotic behaviors in wide parameter ranges while existing chaotic maps cannot. Three improved chaotic maps are presented as typical examples to verify the effectiveness of 2D-MCS. The chaos properties of one example of 2D-MCS are mathematically analyzed using the definition of Lyapunov exponent. Performance evaluations demonstrate that these improved chaotic maps have continuous and large chaotic ranges, and their outputs are distributed more uniformly than the outputs of existing 2D chaotic maps. To show the application of 2D-MCS, we apply the improved chaotic maps of 2D-MCS to secure communication. The simulation results show that these improved chaotic maps exhibit better performance than several existing and newly developed chaotic maps in terms of resisting different channel noise.

read more

Citations
More filters
Journal ArticleDOI

Dynamic Analysis of Digital Chaotic Maps via State-Mapping Networks

TL;DR: Understanding the network structure of a chaotic map’s SMN in digital computers can facilitate counteracting the undesirable degeneration of chaotic dynamics in finite-precision domains, also helping to classify and improve the randomness of pseudo-random number sequences generated by iterating the chaotic maps.
Journal ArticleDOI

Color image encryption using orthogonal Latin squares and a new 2D chaotic system

TL;DR: This paper proposes a new color image encryption algorithm (CIEA) that sufficiently considers the properties of the color image and Latin square and designs a two-dimensional chaotic system called 2D-LSM to address the weaknesses of existing chaotic systems.
Journal ArticleDOI

Visually secure image encryption using adaptive-thresholding sparsification and parallel compressive sensing

TL;DR: Wang et al. as discussed by the authors proposed a new visually secure image encryption scheme using adaptive-thresholding sparsification to greatly improve the quality of the reconstructed image and designed a new parallel CS technique to tremendously improve the processing efficiency.
Journal ArticleDOI

Design and application of an S-box using complete Latin square

TL;DR: Performance evaluations demonstrate that the S-box generated by the proposed method has a high security level and can outperform several state-of-the-art encryption algorithms.
Journal ArticleDOI

FPGA implementation and image encryption application of a new PRNG based on a memristive Hopfield neural network with a special activation gradient

TL;DR: In this article , a memristive Hopfield neural network (MHNN) with a special activation gradient is proposed by adding a suitable memristor to the Hopfield Neural Network (HNN).
References
More filters
Journal ArticleDOI

Physiological time-series analysis using approximate entropy and sample entropy

TL;DR: A new and related complexity measure is developed, sample entropy (SampEn), and a comparison of ApEn and SampEn is compared by using them to analyze sets of random numbers with known probabilistic character, finding SampEn agreed with theory much more closely than ApEn over a broad range of conditions.
Book

Chaos: An Introduction to Dynamical Systems

TL;DR: One-dimensional maps, two-dimensional map, fractals, and chaotic attraction attractors have been studied in this article for state reconstruction from data, including the state of Washington.
Book

Deterministic chaos: An introduction

TL;DR: In this article, the authors present a model for the detection of deterministic chaos in the Lorenz model, which is based on the idea of the Bernoulli shift and the Kicked Quantum Rotator.
Book

Differential Equations, Dynamical Systems, and an Introduction to Chaos

TL;DR: Hirsch, Devaney, and Smale's classic "Differential Equations, Dynamical Systems, and an Introduction to Chaos" has been used by professors as the primary text for undergraduate and graduate level courses covering differential equations as mentioned in this paper.
Journal ArticleDOI

A new 1D chaotic system for image encryption

TL;DR: Simulations and performance evaluations show that the proposed system is able to produce many 1D chaotic maps with larger chaotic ranges and better chaotic behaviors compared with their seed maps.
Related Papers (5)