A Review of Chaotification Techniques for Discrete-Time Systems

Lazaros  Moysis; Marcin  Lawnik; Murilo Baptista; Christos Volos; George F.  Fragulis

doi:10.1007/s11071-025-10934-6

A Review of Chaotification Techniques for Discrete-Time Systems

Lazaros Moysis^* (Corresponding Author)
, Marcin Lawnik^* (Corresponding Author)
, Murilo Baptista
, Christos Volos
, George F. Fragulis

^*Corresponding author for this work

University of Western Macedonia
Silesian University of Technology
Aristotle University of Thessaloniki

Research output: Contribution to journal › Review article › peer-review

17 Citations (Scopus)

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Abstract

This work provides a thorough review on the research topic of chaotification for discrete-time systems. Chaotification refers to the process of designing new chaotic maps, using existing maps from the literature as seed functions, with the goal of achieving a more complex behavior. This problem is of great theoretical interest, but also of practical importance, as highly complex chaotic systems are sought after in many applications. This review aims at providing a roadmap on the topic of chaotification, by presenting the recent developments in the topic, organized by the methodologies that are considered. Future challenges are also identified.

Original language	English
Pages (from-to)	14103–14119
Number of pages	17
Journal	Nonlinear Dynamics
Volume	113
Issue number	12
Early online date	3 Mar 2025
DOIs	https://doi.org/10.1007/s11071-025-10934-6
Publication status	Published - Jun 2025

Bibliographical note

The authors would like to thank the anonymous reviewers for their constructive feedback.

Data Availability Statement

Data availability: Not applicable.

Funding

Open access funding provided by HEAL-Link Greece. The authors declare that no funds, grants, or other support were received during the preparation of this manuscript.

Keywords

chaos
chaotification
dynamical systems
nonlinear systems
chaotic maps
robust chaos

Access to Document

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Cite this

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title = "A Review of Chaotification Techniques for Discrete-Time Systems",

abstract = "This work provides a thorough review on the research topic of chaotification for discrete-time systems. Chaotification refers to the process of designing new chaotic maps, using existing maps from the literature as seed functions, with the goal of achieving a more complex behavior. This problem is of great theoretical interest, but also of practical importance, as highly complex chaotic systems are sought after in many applications. This review aims at providing a roadmap on the topic of chaotification, by presenting the recent developments in the topic, organized by the methodologies that are considered. Future challenges are also identified.",

keywords = "chaos, chaotification, dynamical systems, nonlinear systems, chaotic maps, robust chaos",

author = "Lazaros Moysis and Marcin Lawnik and Murilo Baptista and Christos Volos and Fragulis, \{George F.\}",

note = "The authors would like to thank the anonymous reviewers for their constructive feedback.",

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doi = "10.1007/s11071-025-10934-6",

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AU - Moysis, Lazaros

AU - Lawnik, Marcin

AU - Baptista, Murilo

AU - Volos , Christos

AU - Fragulis, George F.

N1 - The authors would like to thank the anonymous reviewers for their constructive feedback.

PY - 2025/6

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N2 - This work provides a thorough review on the research topic of chaotification for discrete-time systems. Chaotification refers to the process of designing new chaotic maps, using existing maps from the literature as seed functions, with the goal of achieving a more complex behavior. This problem is of great theoretical interest, but also of practical importance, as highly complex chaotic systems are sought after in many applications. This review aims at providing a roadmap on the topic of chaotification, by presenting the recent developments in the topic, organized by the methodologies that are considered. Future challenges are also identified.

AB - This work provides a thorough review on the research topic of chaotification for discrete-time systems. Chaotification refers to the process of designing new chaotic maps, using existing maps from the literature as seed functions, with the goal of achieving a more complex behavior. This problem is of great theoretical interest, but also of practical importance, as highly complex chaotic systems are sought after in many applications. This review aims at providing a roadmap on the topic of chaotification, by presenting the recent developments in the topic, organized by the methodologies that are considered. Future challenges are also identified.

KW - chaos

KW - chaotification

KW - dynamical systems

KW - nonlinear systems

KW - chaotic maps

KW - robust chaos

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DO - 10.1007/s11071-025-10934-6

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JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

IS - 12

ER -

A Review of Chaotification Techniques for Discrete-Time Systems

Abstract

Bibliographical note

Data Availability Statement

Funding

Keywords

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