articleFractal and FractionalFeb 13, 2025GOLD OA

Dynamic Analysis and Implementation of FPGA for a New 4D Fractional-Order Memristive Hopfield Neural Network

Changsha University of Science and Technology

Indexed incrossrefdoaj

Abstract

Memristor-based fractional-order chaotic systems can record information from the past, present, and future, and describe the real world more accurately than integer-order systems. This paper proposes a novel memristor model and verifies its characteristics through the pinched loop (PHL) method. Subsequently, a new fractional-order memristive Hopfield neural network (4D-FOMHNN) is introduced to simulate induced current, accompanied by Caputo’s definition of fractional order. An Adomian decomposition method (ADM) is employed for system solution. By varying the parameters and order of the 4D-FOMHNN, rich dynamic behaviors including transient chaos, chaos, and coexistence attractors are observed using methods such…

Citation impact

54
total citations
FWCI
102.91
Percentile
100%
References
74
Citations per year

Authors

6

Topics & keywords

Keywords
  • Hopfield network
  • Artificial neural network
  • Field-programmable gate array
  • Computer science
  • Order (exchange)
  • Computer architecture
  • Artificial intelligence
  • Embedded system
No related works found for this paper.

Funding