Advanced International Journal for Research

E-ISSN: 3048-7641   •   Impact Factor: 9.11

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Volume 6 Issue 6
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Detection and Suppression of Malicious Perturbations in Nonlinear Lattice Networks: A Security-Oriented Frenkel–Kontorova Framework

Author(s) Dalel Amri, Mohamed Ayari, Mohamed Ali Hammami
Country Tunisia
Abstract The Frenkel–Kontorova (FK) model, traditionally used to describe nonlinear interactions in atomic chains and structured materials, has emerging relevance in 6G communication platforms and metasurface-based architectures. However, these lattice-like structures may be vulnerable to malicious perturbations, targeted interference, or adversarial manipulation, which can destabilize wave propagation and compromise physical-layer security. This paper introduces a security-oriented FK framework for modeling, detecting, and mitigating adversarial disturbances in nonlinear lattice networks. A perturbed FK system is constructed in which the attacker injects structured, spatially correlated disturbances designed to distort lattice synchronization, disrupt soliton propagation, or alter equilibrium configurations. A novel detection mechanism based on deviation energy, lattice tension metrics, and spatiotemporal anomalies is proposed, along with a stability suppression strategy using adaptive damping and nonlinear compensation. Lyapunov and energy-based analyses are used to derive sufficient conditions for disturbance detectability and secure lattice stabilization. Numerical simulations demonstrate the model’s ability to identify malicious perturbations, quantify attack intensity, and restore stable wave patterns through lattice-level corrective mechanisms. The results highlight the potential of FK-based modeling as a foundational tool for enhancing physical-layer security in future 6G metasurfaces, nano-resonator arrays, and programmable communication structures.
Keywords Frenkel–Kontorova model, Security perturbations, Nonlinear lattices, 6G metasurfaces, Stability analysis
Field Engineering
Published In Volume 6, Issue 2, March-April 2025
Published On 2025-03-31
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E-ISSN 3048-7641
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