A Real-World Application of Chaos Theory

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

Participating Journals

Journal Name	Impact Factor	CiteScore	Launched Year	First Decision (median)	APC
AppliedMath appliedmath	0.7	1.1	2021	23.5 Days	CHF 1200	Submit
Axioms axioms	1.6	-	2012	21.6 Days	CHF 2400	Submit
Computation computation	1.9	4.1	2013	16.7 Days	CHF 1800	Submit
Mathematics mathematics	2.2	4.6	2013	18.4 Days	CHF 2600	Submit
Symmetry symmetry	2.2	5.3	2009	17.1 Days	CHF 2400	Submit

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Published Papers (1 paper)

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All AppliedMath Axioms Computation Mathematics Symmetry

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24 pages, 1751 KiB  

Open AccessArticle

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 3686

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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