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◆ Symmetry2026-05-20· Multistability

A Symmetric Multistable Chaotic System Optimized by Chaotic Particle Swarm for Secure Electric Vehicle Communication

Mohamed Fadi Kethiri, Faiza Zaamoune, Christos Volos

原始摘要(英文原文)· Original abstract
Secure real-time communication is a critical requirement in modern electric vehicle (EV) networks. These networks transmit safety-critical control commands through vulnerable in-vehicle communication channels. This study proposes a novel three-dimensional symmetric chaotic system for high-security EV communication. The system exhibits extensive multistability and symmetric double-wing attractors. To enhance dynamical complexity, its parameters are optimized using chaotic-enhanced particle swarm optimization (C-PSO). The largest Lyapunov exponent is used as the optimization objective. A fixed-time nonlinear controller is designed for rapid drive–response synchronization. The settling-time bound is independent of the initial conditions. The proposed method is evaluated through realistic Controller Area Network (CAN) bus simulations. These simulations include 12-bit quantization and a 1 ms sampling period. The experimental results show synchronization within 0.057 s. The recovered signal achieves an MSE of 1.202×10−4. The encrypted signal reaches a Shannon entropy of 7.9904. These results confirm accurate recovery, strong randomness, and improved resistance to cryptographic attacks.
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A Symmetric Multistable Chaotic System Optimized by Chaotic Particle Swarm for Secure Electric Vehicle Communication — 科研速览 Science Skim