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FPGA-Based Implementation and Synchronization Design of a New Five-Dimensional Hyperchaotic System

Ya Wang, Xinyu Li, Xiaodong Li, Yerui Guang, Yanan Wu, Qun Ding

2022Entropy13 citationsDOIOpen Access PDF

Abstract

Considering the security of a communication system, designing a high-dimensional complex chaotic system suitable for chaotic synchronization has become a key problem in chaotic secure communication. In this paper, a new 5-D hyperchaotic system with high order nonlinear terms was constructed and proved to be hyperchaotic by dynamical characterization characteristics, the maximum Lyapunov exponent was close to 2, and there was a better permutation entropy index, while a valid chaotic sequence could be generated in three cycles in the FPGA (Field Programmable Gate Array)-based implementation. A multivariable nonlinear feedback synchronous controller based on FPGA was proposed to design and implement synchronization of high order complex hyperchaotic systems. The results show that the error signal converged to 0 rapidly under the effect of the nonlinear feedback synchronous controller. This lays the foundation for the synchronization of high order complex chaotic systems.

Topics & Concepts

Field-programmable gate arrayLyapunov exponentSynchronization (alternating current)Computer scienceControl theory (sociology)ChaoticNonlinear systemSynchronization of chaosSecure communicationController (irrigation)EncryptionControl (management)Embedded systemPhysicsArtificial intelligenceOperating systemComputer networkBiologyQuantum mechanicsAgronomyChannel (broadcasting)Chaos control and synchronizationChaos-based Image/Signal EncryptionQuantum chaos and dynamical systems
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