Dynamical behaviors of the simple chaotic system with coexisting attractors and its synchronous application

IF 2.2 3区工程技术 Q3 COMPUTER SCIENCE, HARDWARE & ARCHITECTURE

Integration-The Vlsi Journal Pub Date : 2025-01-23 DOI:10.1016/j.vlsi.2025.102368

Shaohui Yan, Rong Lu, Hanbing Zhang

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引用次数: 0

Abstract

A simple 3D dissipative chaotic system with coexisting attractors is constructed in this paper. The dynamical behavior of the system is analyzed using numerical simulations of phase space and bifurcation diagrams as the parameters and initial conditions are varied. The amplitude of the state variable can be flexibly controlled by introducing the offset boosting, providing a controllable capability for the system. By analyzing and comparing the complexity, the initial condition with higher complexity is selected and used for synchronization control. The system is then subjected to circuit implementation. Finally, the synchronization of chaotic systems is realized by two synchronization methods, namely backstepping synchronization and finite-time synchronization. And the merits and drawbacks of the two synchronization methods are briefly compared and summarized. In contrast, finite-time synchronization demonstrates good performance, achieving synchronization times of 0.61 s and 0.81 s under different initial conditions. Thus, a circuit simulation for finite-time synchronization is conducted, with results consistent with the numerical simulation outcomes.

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来源期刊

Integration-The Vlsi Journal 工程技术-工程：电子与电气

CiteScore

3.80

自引率

5.30%

发文量

107

审稿时长

6 months

期刊介绍： Integration''s aim is to cover every aspect of the VLSI area, with an emphasis on cross-fertilization between various fields of science, and the design, verification, test and applications of integrated circuits and systems, as well as closely related topics in process and device technologies. Individual issues will feature peer-reviewed tutorials and articles as well as reviews of recent publications. The intended coverage of the journal can be assessed by examining the following (non-exclusive) list of topics: Specification methods and languages; Analog/Digital Integrated Circuits and Systems; VLSI architectures; Algorithms, methods and tools for modeling, simulation, synthesis and verification of integrated circuits and systems of any complexity; Embedded systems; High-level synthesis for VLSI systems; Logic synthesis and finite automata; Testing, design-for-test and test generation algorithms; Physical design; Formal verification; Algorithms implemented in VLSI systems; Systems engineering; Heterogeneous systems.