Synchronization and application of double operation combination for intermittent control of Hamiltonian conservative chaotic system

Abstract To enhance the security of information transmission, this paper proposes a multi-level encrypted chaotic masking scheme with dual-operation combination synchronization under intermittent control for Hamiltonian Conservative Chaotic System (HCCS). First, the chaotic properties of this system are analyzed, and a dual-operation combination synchronous controller is designed. Its global asymptotic stability is proven using Lyapunov stability theory. Numerical simulations then validate the scheme’s effectiveness, testing synchronization performance under mixed random pulse and Gaussian noise interference. Results demonstrate robust synchronization performance and strong resilience in complex noise environments. Applied to secure communications, the multi-level encrypted chaotic masking mechanism further enhances security. Simulations and experiments confirm high synchronization accuracy, proving its practical value for multi-level encrypted secure communications. The innovation of this work lies in combining dual-operation composite control with intermittent control for HCCS, alongside designing a multi-level encryption scheme. This approach significantly enhances the system’s interference resistance and secure communication security while ensuring synchronization accuracy.