4.3 Article

Almost periodic solutions of memristive multidirectional associative memory neural networks with mixed time delays

Related references

Note: Only part of the references are listed.
Article Mathematics, Applied

The analysis of some special solutions of Mackey-Glass equation with variable delays

Ramazan Yazgan

Summary: This study establishes conditions to ensure the existence and uniqueness of the weighted pseudo almost periodic solutions of Mackey-Glass with time-varying delays. By utilizing differential equation inequalities, WPAP theory, and the Banach fixed-point theorem, adequate conditions are derived for the existence and uniqueness of these solutions. An example is also provided to demonstrate the accuracy of the main results.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2022)

Article Mathematics, Applied

An Analyses on the Pseudo Almost Automorphic Solutions of a Biological Model

Ramazan Yazgan

Summary: This study focuses on obtaining conditions that ensure the existence and uniqueness of pseudo almost automorphic solutions for Nicholson's blowflies problem with time-varying delays. By using differential equation inequalities, the pseudo almost automorphic theory, and the Banach Fixed Point Theorem, sufficient conditions for the existence, uniqueness, and global exponential stability of pseudo almost automorphic solutions are obtained. An example is also provided to demonstrate the accuracy of the conditions in our main results.

ACTA APPLICANDAE MATHEMATICAE (2022)

Article Computer Science, Artificial Intelligence

Multistability of state-dependent switching neural networks with discontinuous nonmonotonic piecewise linear activation functions

Jiahui Zhang et al.

Summary: This paper presents theoretical results on the multistability of state-dependent switching neural networks with discontinuous nonmonotonic piecewise linear activation functions. It shows the importance of switching threshold and discontinuous character in increasing the number of equilibrium points.

NEUROCOMPUTING (2021)

Article Mathematics, Applied

Existence and exponential stability of almost-periodic solutions for MAM neural network with distributed delays on time scales

Gao Jin et al.

Summary: This paper establishes some sufficient conditions on the existence, uniqueness, and global exponential stability of almost-periodic solutions for multidirectional associative memory neural networks with distributed delays. An example is presented to demonstrate the feasibility and effectiveness of the obtained results.

APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B (2021)

Article Computer Science, Artificial Intelligence

Solving a novel designed second order nonlinear Lane-Emden delay differential model using the heuristic techniques

Zulqurnain Sabir et al.

Summary: This study presents a new model based on the nonlinear singular second order delay differential equation of Lane-Emden type, which is numerically solved using heuristic technique. Four different examples are solved using artificial neural networks optimized by genetic algorithm (GA), sequential quadratic programming (SQP), and GA-SQP. The numerical results are compared with the exact results to demonstrate performance and correctness, and statistical investigations are presented to assess the accuracy and performance of the designed model implemented with heuristic methodology.

APPLIED SOFT COMPUTING (2021)

Article Automation & Control Systems

Periodic dynamics of multidirectional associative neural networks with discontinuous activation functions and mixed time delays

Yan Zhang et al.

Summary: Multidirectional associative memory neural networks (MAMNNs) are utilized to simulate many-to-many associations and are widely applied in various fields. This paper investigates the global stability of periodic solutions of MAMNNs with discontinuous activation functions and mixed time-varying delays. The conditions for existence, uniqueness, and global exponential stability of periodic solutions are explored, and numerical simulations demonstrate the effectiveness of the main results.

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL (2021)

Article Computer Science, Information Systems

Almost periodic dynamics of memristive inertial neural networks with mixed delays

Rakkiyappan Rajan et al.

INFORMATION SCIENCES (2020)

Article Engineering, Multidisciplinary

Design and Numerical Solutions of a Novel Third-Order Nonlinear Emden-Fowler Delay Differential Model

Juan L. G. Guirao et al.

MATHEMATICAL PROBLEMS IN ENGINEERING (2020)

Article Mathematics, Interdisciplinary Applications

Fixed-time synchronization control of memristive MAM neural networks with mixed delays and application in chaotic secure communication

Weiping Wang et al.

CHAOS SOLITONS & FRACTALS (2019)

Article Computer Science, Artificial Intelligence

Neural Network Spectral Robustness under Perturbations of the Underlying Graph

Anca Radulescu

NEURAL COMPUTATION (2016)

Article Automation & Control Systems

Discontinuous Neural Networks for Finite-Time Solution of Time-Dependent Linear Equations

Mauro Di Marco et al.

IEEE TRANSACTIONS ON CYBERNETICS (2016)

Article Computer Science, Interdisciplinary Applications

Almost periodic solution for multidirectional associative memory neural network with distributed delays

Tiejun Zhou et al.

MATHEMATICS AND COMPUTERS IN SIMULATION (2015)

Article Computer Science, Artificial Intelligence

Almost periodic solutions for a memristor-based neural networks with leakage, time-varying and distributed delays

Ping Jiang et al.

NEURAL NETWORKS (2015)

Article Computer Science, Artificial Intelligence

Global dissipativity of a class of BAM neural networks with both time-varying and continuously distributed delays

Lisha Wang et al.

NEUROCOMPUTING (2015)

Article Computer Science, Artificial Intelligence

Learning Associative Memories by Error Backpropagation

Pengsheng Zheng et al.

IEEE TRANSACTIONS ON NEURAL NETWORKS (2011)

Article Computer Science, Artificial Intelligence

Almost periodic dynamics of a class of delayed neural networks with discontinuous activations

Wenlian Lu et al.

NEURAL COMPUTATION (2008)