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A Real-World Application of Chaos Theory
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Topic Editors

Dr. Adil Jhangeer
IT4Innovations, VSB—Technical University of Ostrava, Poruba, 708 00 Ostrava, Czech Republic
Dr. Mudassar Imran
College of Humanities and Sciences, Ajman University, Ajman P.O. Box 346, United Arab Emirates
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A Real-World Application of Chaos Theory

Abstract submission deadline
31 October 2025
Manuscript submission deadline
28 February 2026
Viewed by
3638

Topic Information

Dear Colleagues,

Chaos theory is one of the most elegant theories in mathematics which deals with how small changes in initial conditions can lead to vastly different outcomes in complex systems, making long-term predictions difficult. Several different techniques are used to predict the chaos in a dynamical system, some of which are sensitivity, phase portraits, bifurcation theory, Lyapunov exponents, etc. Each of these techniques helps mathematicians analyze problems more deeply.

Topics of Interest include, but are not limited to, the following:

  • (i) Bifurcation analysis;
  • (ii) multi-stability analysis;
  • (iii) sensitivity analysis;
  • (iv) Lyapunov exponents;
  • (v) attractors;
  • (vi) basin theory;
  • (vii) Poincare map.

Dr. Adil Jhangeer
Dr. Mudassar Imran
Topic Editors

Keywords

  • mathematical model
  • visualization
  • chaotic behaviors
  • sensitivity analysis
  • multi-stability
  • Lyapunov exponent
  • dynamical system
  • identification of essential parameters

Participating Journals

Journal Name Impact Factor CiteScore Launched Year First Decision (median) APC
AppliedMath
appliedmath 		- - 2021 25.3 Days CHF 1000 Submit
Axioms
axioms 		1.9 - 2012 22.8 Days CHF 2400 Submit
Computation
computation 		1.9 3.5 2013 18.6 Days CHF 1800 Submit
Mathematics
mathematics 		2.3 4.0 2013 18.3 Days CHF 2600 Submit
Symmetry
symmetry 		2.2 5.4 2009 17.3 Days CHF 2400 Submit

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Published Papers (1 paper)

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24 pages, 1751 KiB  
Article
Chaotic-Based Shellcode Encryption: A New Strategy for Bypassing Antivirus Mechanisms
by Gang-Cheng Huang, Ko-Chin Chang and Tai-Hung Lai
Symmetry 2024, 16(11), 1526; https://doi.org/10.3390/sym16111526 - 14 Nov 2024
Cited by 1 | Viewed by 2841
Abstract
This study employed chaotic systems as an innovative approach for shellcode obfuscation to evade current antivirus detection methods. Standard AV solutions primarily rely on static signatures and heuristic analysis to identify malicious code. However, chaotic systems employ dynamic and unpredictable encryption methods, significantly [...] Read more.
This study employed chaotic systems as an innovative approach for shellcode obfuscation to evade current antivirus detection methods. Standard AV solutions primarily rely on static signatures and heuristic analysis to identify malicious code. However, chaotic systems employ dynamic and unpredictable encryption methods, significantly obstructing detection efforts. The utilization of various chaotic maps for shellcode encryption facilitates the generation of multiple unique variations from the same functional code, each exhibiting distinct unpredictability due to the inherent nonlinearity and sensitivity of chaotic systems to initial conditions. The unpredictability of these situations poses a considerable challenge for antivirus software in recognizing consistent patterns, resulting in decreased detection rates. The findings from our experiments demonstrate that chaos-driven encryption methods significantly outperform traditional encryption techniques in terms of evading detection. This paper emphasizes the potential of chaos theory to enhance malware evasion strategies, offering a sophisticated approach to bypassing modern antivirus protections while ensuring the effectiveness of malicious payloads. Full article
(This article belongs to the Topic A Real-World Application of Chaos Theory)
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