Dynamics and DSP implementation of a wide-range locally active memristor-coupled Aihara neuron


Zhang W., He X., Cao Y., ERKAN U., TOKTAŞ A., Gao S., ...Daha Fazla

COGNITIVE NEURODYNAMICS, cilt.20, sa.1, 2026 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20 Sayı: 1
  • Basım Tarihi: 2026
  • Doi Numarası: 10.1007/s11571-026-10541-0
  • Dergi Adı: COGNITIVE NEURODYNAMICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, EMBASE, Psycinfo, Natural Science Collection (ProQuest), Biological Science Database (ProQuest), Health Research Premium Collection (ProQuest), Technology Collection (ProQuest)
  • Ankara Üniversitesi Adresli: Evet

Özet

In neuromorphic computing, constructing bionic devices for artificial neuronal communication is a key research direction. This paper proposes a novel discrete locally active memristor (LAM) model characterized by a sinusoidal state equation. The pinched hysteresis loop, power-off plot, and direct current voltage-current curve are employed to verify its memristive fingerprints, non-volatility, and local activity, respectively. Notably, the locally active region expands with the magnetic flux range. The LAM is then coupled as a self-connecting synapse into the Aihara neuron, establishing the LAM-Aihara map. Using bifurcation diagrams, Lyapunov exponent spectra, equilibrium point analysis and other standard nonlinear analysis tools to characterize dynamical behaviors, we identify three novel dynamical features of the LAM-Aihara map: triangular waveform bursting firings, centrosymmetric coexisting attractors under different initial conditions, and a high spectral entropy reaching 0.93. The physical realizability of the map is further validated on a digital signal processing platform. These findings provide theoretical and experimental support for employing memristive single neuron coupling in the field of information encryption.