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Control and synchronization of chaos in some fractional computer virus models.

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Title: Control and synchronization of chaos in some fractional computer virus models.
Authors: Kahouli, Omar1 (AUTHOR) omarkahouli@yahoo.fr, Zouak, Imane2 (AUTHOR), Ouannas, Adel3 (AUTHOR), Abidi, Ilyes4 (AUTHOR), Bahou, Younes5 (AUTHOR), Elgharbi, Sarra6 (AUTHOR), Chaabane, Mohamed7 (AUTHOR)
Source: Asian Journal of Control. Jan2026, Vol. 28 Issue 1, p240-248. 9p.
Subjects: Synchronization, Computer viruses, Technological complexity, Computer simulation, Internet security, Feedback control systems, Network theory (Statistical physics), Dynamical systems
Abstract: The present study investigates a fractional‐order discrete computer virus system control and synchronization, encompassing commensurate systems. Unlike traditional integer‐order models, which are limited to integer derivatives, fractional‐order models excel at capturing intricate dynamics with memory effects, crucial for accurately representing virus spread in complex networks. We delve into chaos control strategies for commensurate systems, demonstrating their effectiveness through numerical simulations. Our results indicate that stabilization is achieved for parameter values d1=0.89,d2=0.79$$ {d}_1=0.89,{d}_2=0.79 $$, and d3=0.92$$ {d}_3=0.92 $$, with controlled dynamics converging to a steady state. Furthermore, we explore chaos synchronization techniques, crucial for coordinated behavior in distributed systems, and present simulation results, showing that synchronization is attained when the coupling parameters satisfy u1=−0.4,u2=−0.52$$ {u}_1=-0.4,{u}_2=-0.52 $$, and u3=−0.82$$ {u}_3=-0.82 $$. This research provides valuable insights into controlling and mitigating the spread of computer viruses in heterogeneous networks, contributing to enhanced cybersecurity measures. [ABSTRACT FROM AUTHOR]
Copyright of Asian Journal of Control is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Control and synchronization of chaos in some fractional computer virus models.
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  Data: <searchLink fieldCode="AR" term="%22Kahouli%2C+Omar%22">Kahouli, Omar</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> omarkahouli@yahoo.fr</i><br /><searchLink fieldCode="AR" term="%22Zouak%2C+Imane%22">Zouak, Imane</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Ouannas%2C+Adel%22">Ouannas, Adel</searchLink><relatesTo>3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Abidi%2C+Ilyes%22">Abidi, Ilyes</searchLink><relatesTo>4</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Bahou%2C+Younes%22">Bahou, Younes</searchLink><relatesTo>5</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Elgharbi%2C+Sarra%22">Elgharbi, Sarra</searchLink><relatesTo>6</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Chaabane%2C+Mohamed%22">Chaabane, Mohamed</searchLink><relatesTo>7</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Asian+Journal+of+Control%22">Asian Journal of Control</searchLink>. Jan2026, Vol. 28 Issue 1, p240-248. 9p.
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  Data: <searchLink fieldCode="DE" term="%22Synchronization%22">Synchronization</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+viruses%22">Computer viruses</searchLink><br /><searchLink fieldCode="DE" term="%22Technological+complexity%22">Technological complexity</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+simulation%22">Computer simulation</searchLink><br /><searchLink fieldCode="DE" term="%22Internet+security%22">Internet security</searchLink><br /><searchLink fieldCode="DE" term="%22Feedback+control+systems%22">Feedback control systems</searchLink><br /><searchLink fieldCode="DE" term="%22Network+theory+%28Statistical+physics%29%22">Network theory (Statistical physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Dynamical+systems%22">Dynamical systems</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The present study investigates a fractional‐order discrete computer virus system control and synchronization, encompassing commensurate systems. Unlike traditional integer‐order models, which are limited to integer derivatives, fractional‐order models excel at capturing intricate dynamics with memory effects, crucial for accurately representing virus spread in complex networks. We delve into chaos control strategies for commensurate systems, demonstrating their effectiveness through numerical simulations. Our results indicate that stabilization is achieved for parameter values d1=0.89,d2=0.79$$ {d}_1=0.89,{d}_2=0.79 $$, and d3=0.92$$ {d}_3=0.92 $$, with controlled dynamics converging to a steady state. Furthermore, we explore chaos synchronization techniques, crucial for coordinated behavior in distributed systems, and present simulation results, showing that synchronization is attained when the coupling parameters satisfy u1=−0.4,u2=−0.52$$ {u}_1=-0.4,{u}_2=-0.52 $$, and u3=−0.82$$ {u}_3=-0.82 $$. This research provides valuable insights into controlling and mitigating the spread of computer viruses in heterogeneous networks, contributing to enhanced cybersecurity measures. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Asian Journal of Control is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1002/asjc.3693
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      – Code: eng
        Text: English
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        PageCount: 9
        StartPage: 240
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      – SubjectFull: Synchronization
        Type: general
      – SubjectFull: Computer viruses
        Type: general
      – SubjectFull: Technological complexity
        Type: general
      – SubjectFull: Computer simulation
        Type: general
      – SubjectFull: Internet security
        Type: general
      – SubjectFull: Feedback control systems
        Type: general
      – SubjectFull: Network theory (Statistical physics)
        Type: general
      – SubjectFull: Dynamical systems
        Type: general
    Titles:
      – TitleFull: Control and synchronization of chaos in some fractional computer virus models.
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            NameFull: Kahouli, Omar
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            NameFull: Zouak, Imane
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            NameFull: Ouannas, Adel
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            NameFull: Abidi, Ilyes
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            – D: 01
              M: 01
              Text: Jan2026
              Type: published
              Y: 2026
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              Value: 28
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