Dynamical analysis of controllable multi-double-scroll memristive chaotic systems for signal detection

Daxun Huang, Qiang Lai, Uǧur Erkan and Abdurrahim Toktas

Chaos, Solitons & Fractals, 2026, vol. 202, issue P1

Abstract: This paper proposes a new type of multi-double-scroll memristive chaotic system (MDSMCS), formed by coupling memristors into a simple jerk circuit. By coupling one, two, or three memristors, the system generates more complex multi-double-scroll attractors in terms of spatial configuration compared to conventional multi-scroll systems. This progressive coupling unlocks the system’s dimensional scalability, enabling the controlled emergence of double-scroll attractors in linear (1D), planar (2D), and spatial (3D) forms. Simulations of the MDSMCS reveal rich and intricate nonlinear dynamics, manifested as coexisting attractors, offset boosting, and amplitude control. Notably, offset boosting shows a rare feature among multi-scroll systems, enabling multi-double-scroll attractors with different parameters to exhibit two-dimensional spatial shifts. Furthermore, an equivalent circuit and its implementation are presented to realize the 1D, 2D, and 3D forms of the MDSMCS. Finally, a novel weak signal detection method combining synchronization theory and a multi-scroll system (MDSMCS) is proposed for the first time, demonstrating superior performance over existing methods even under low signal-to-noise ratio (SNR) conditions.

Keywords: Chaos; Memristive chaotic system; Multiscroll attractors; Coexisting attractors; Offset boosting; Weak signal detection (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:202:y:2026:i:p1:s0960077925015516

DOI: 10.1016/j.chaos.2025.117538

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