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


Huang D., Lai Q., Erkan U., Toktaş A.

CHAOS SOLITONS & FRACTALS, cilt.202, 2026 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 202
  • Basım Tarihi: 2026
  • Doi Numarası: 10.1016/j.chaos.2025.117538
  • Dergi Adı: CHAOS SOLITONS & FRACTALS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, zbMATH
  • Ankara Üniversitesi Adresli: Evet

Özet

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.