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4 Results Found

  • Article
  • Open Access
17 Citations
3,491 Views
26 Pages

Chaotification of One-Dimensional Maps Based on Remainder Operator Addition

  • Lazaros Moysis,
  • Ioannis Kafetzis,
  • Murilo S. Baptista and
  • Christos Volos

7 August 2022

In this work, a chaotification technique is proposed that can be used to enhance the complexity of any one-dimensional map by adding the remainder operator to it. It is shown that by an appropriate parameter choice, the resulting map can achieve a hi...

(This article belongs to the Special Issue Chaos-Based Secure Communication and Cryptography)
  • Article
  • Open Access
16 Citations
4,075 Views
27 Pages

Chaotification of 1D Maps by Multiple Remainder Operator Additions—Application to B-Spline Curve Encryption

  • Lazaros Moysis,
  • Marcin Lawnik,
  • Ioannis P. Antoniades,
  • Ioannis Kafetzis and ,
  • Murilo S. Baptista and
  • Christos Volos
  • + 1 author+ 0 author

14 March 2023

In this work, a chaotification technique is proposed for increasing the complexity of chaotic maps. The technique consists of adding the remainder of multiple scalings of the map’s value for the next iteration, so that the most- and least-signi...

(This article belongs to the Special Issue Symmetry in Nonlinear Dynamics and Chaos II)
  • Article
  • Open Access
17 Citations
4,795 Views
14 Pages

A Family of 1D Chaotic Maps without Equilibria

  • Marcin Lawnik,
  • Lazaros Moysis and
  • Christos Volos

27 June 2023

In this work, a family of piecewise chaotic maps is proposed. This family of maps is parameterized by the nonlinear functions used for each piece of the mapping, which can be either symmetric or non-symmetric. Applying a constraint on the shape of ea...

(This article belongs to the Special Issue Symmetry in Nonlinear Dynamics and Chaos II)
  • Article
  • Open Access
91 Citations
6,557 Views
23 Pages

A Chaotic-Based Encryption/Decryption Framework for Secure Multimedia Communications

  • Ibrahim Yasser,
  • Mohamed A. Mohamed,
  • Ahmed S. Samra and
  • Fahmi Khalifa

4 November 2020

Chaos-based encryption has shown an increasingly important and dominant role in modern multimedia cryptography compared with traditional algorithms. This work proposes novel chaotic-based multimedia encryption schemes utilizing 2D alteration models f...

(This article belongs to the Special Issue Information Entropy Algorithms for Image, Video, and Signal Processing)