Complexity

Hyperchaotic Fractional-Order Systems and Their Applications


Status
Published

Lead Editor

1Mansoura University, Mansoura, Egypt

2University of Aveiro, Aveiro, Portugal

3Shivaji University, Kolhapur, India

4Suez Canal University, Ismailia, Egypt


Hyperchaotic Fractional-Order Systems and Their Applications

Description

Fractional calculus is a mathematical analysis field which is concerned with the generalization of differentiation and integration to arbitrary real or even complex orders. Although the idea of fractional calculus has been first mentioned at the end of 17th century, recent studies reveal that many physical phenomena in nature and experiments can be accurately modeled by fractional differential equations. More specifically, the fractional derivative considers the history of previous states in its definition, so it provides an excellent instrument for the modeling memory and hereditary properties in some physical and biological phenomena.

On the other hand, chaos is a very interesting nonlinear phenomenon which has been intensively studied during the last four decades due to its useful applications in science and technology. A regular chaotic system has one positive Lyapunov exponent, whereas a system with more than one positive Lyapunov exponent is called “hyperchaotic.” Therefore, hyperchaotic systems are more sensitive to perturbations, external disturbances, and parameter variations than conventional chaotic ones.

Thus, research about fractional-order hyperchaotic systems gains a lot of interest from both theoretical and applied points of view. Some fractional-order hyperchaotic systems have been investigated, such as the fractional-order hyperchaotic Rössler system and the fractional-order hyperchaotic Chen system. Recent publications also include nonlinear circuits, secure communication, laser applications, spread spectrum communication, communication in star coupled network, video encryption communication, color image encryption algorithm, and applications of different types of synchronization.

The main objective of this special issue is to provide an opportunity to study the new developments related to novel chaotic systems, synchronization schemes, bifurcations, and control in hyperchaotic fractional-order systems along with their applications. We invite authors and researchers to contribute their original research articles as well as review articles.

Potential topics include but are not limited to the following:

  • Development and applications of novel controlling schemes for chaotic behavior and bifurcations in hyperchaotic fractional-order systems
  • Applications of chaos synchronization and bifurcations in hyperchaotic fractional-order systems
  • Chaos in epidemic fractional-order models
  • Hyperchaotic fractional-order circuits
  • Applications in chaos-based cryptography

Articles

  • Special Issue
  • - Volume 2017
  • - Article ID 7476090
  • - Editorial

Hyperchaotic Fractional-Order Systems and Their Applications

Ahmed Elsaid | Delfim F. M. Torres | ... | Amr Elsonbaty
  • Special Issue
  • - Volume 2017
  • - Article ID 9010251
  • - Research Article

A Novel Image Encryption Algorithm Based on a Fractional-Order Hyperchaotic System and DNA Computing

Taiyong Li | Minggao Yang | ... | Xin Jing
  • Special Issue
  • - Volume 2017
  • - Article ID 4962739
  • - Research Article

Dynamical Analysis, Synchronization, Circuit Design, and Secure Communication of a Novel Hyperchaotic System

Li Xiong | Zhenlai Liu | Xinguo Zhang
  • Special Issue
  • - Volume 2017
  • - Article ID 6853826
  • - Research Article

Adaptive Fuzzy Synchronization of Fractional-Order Chaotic (Hyperchaotic) Systems with Input Saturation and Unknown Parameters

Heng Liu | Ye Chen | ... | Guangkui Xu
  • Special Issue
  • - Volume 2017
  • - Article ID 3720471
  • - Research Article

Fundamental Results of Conformable Sturm-Liouville Eigenvalue Problems

Mohammed Al-Refai | Thabet Abdeljawad
  • Special Issue
  • - Volume 2017
  • - Article ID 6875874
  • - Research Article

Existence and Globally Asymptotic Stability of Equilibrium Solution for Fractional-Order Hybrid BAM Neural Networks with Distributed Delays and Impulses

Hai Zhang | Renyu Ye | ... | Ahmed Alsaedi
  • Special Issue
  • - Volume 2017
  • - Article ID 4948392
  • - Research Article

Dynamic Analysis of Complex Synchronization Schemes between Integer Order and Fractional Order Chaotic Systems with Different Dimensions

Adel Ouannas | Xiong Wang | ... | Toufik Ziar
  • Special Issue
  • - Volume 2017
  • - Article ID 8979408
  • - Research Article

Hyperchaotic Chameleon: Fractional Order FPGA Implementation

Karthikeyan Rajagopal | Anitha Karthikeyan | Prakash Duraisamy
Complexity
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Acceptance rate43%
Submission to final decision64 days
Acceptance to publication35 days
CiteScore3.200
Impact Factor2.462
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