The vector-matrix form numerical simulations for time-derivative cellular neural networks

Polat S. N.

INTERNATIONAL JOURNAL OF NUMERICAL MODELLING-ELECTRONIC NETWORKS DEVICES AND FIELDS, cilt.31, sa.5, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 5
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1002/jnm.2328
  • Dergi Adı: INTERNATIONAL JOURNAL OF NUMERICAL MODELLING-ELECTRONIC NETWORKS DEVICES AND FIELDS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: bandpass filters, cellular neural networks, digital simulation, spatiotemporal phenomena, time-derivative cellular neural networks
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

Time-derivative cellular neural network (TDCNN) state equations can be written in vector-matrix form which enables the application of discrete-time numerical simulation methods. In this paper, existing numerical simulation methods are adapted for TDCNN for the first time, namely, MATLAB ordinary differential equation simulation and the vector-matrix fourth-order Runge-Kutta approximation. Afterwards, several simulation methods for TDCNN are analyzed. The ordinary differential equation solvers in MATLAB program, fourth-order Runge-Kutta approximation, and the forward Euler approximation are used in the numerical simulation of the vector-matrix form TDCNN. Our previously proposed fast simulation method for TDCNNs is revisited. The methods are discussed from a programmer's point of view, and the results are presented.