Machine intelligence in dynamical systems:\A state‐of‐art review

AK Sahoo, S Chakraverty - Wiley Interdisciplinary Reviews …, 2022 - Wiley Online Library
This article is dedicated to study the impact of machine intelligence (MI) methods viz. various
types of Neural models for investigating dynamical systems arising in interdisciplinary areas …

A neural network approach for the solution of Van der Pol-Mathieu-Duffing oscillator model

AK Sahoo, S Chakraverty - Evolutionary Intelligence, 2024 - Springer
The concept of oscillator problems finds its indispensable presence in numerous dynamical
systems. Machine learning techniques for handling dynamical systems is a challenging and …

Neural network methods based on efficient optimization algorithms for solving impulsive differential equations

B Xing, H Liu, X Tang, L Shi - IEEE Transactions on Artificial …, 2022 - ieeexplore.ieee.org
In view of the fact that impulsive differential equations have the discreteness due to the
impulse phenomenon, this article proposes a single hidden layer neural network method …

An Unsupervised Scientific Machine Learning Algorithm for Approximating Displacement of Object in Mass-Spring-Damper Systems

AK Sahoo, S Kumar, S Chakraverty - IEEE Access, 2024 - ieeexplore.ieee.org
Differential equations play a significant role in modeling of real world dynamical problems. A
large amount of prior physical information in the form of differential equations are inherited in …

Unsupervised ANN model for solving fractional differential equations

AK Sahoo, S Chakraverty - Computation and Modeling for Fractional Order …, 2024 - Elsevier
In this chapter, a neural network model for solving fractional differential equations is
described. This model is based on approximating the solution by using power series …

Curriculum Learning-Based Approach to Design an Unsupervised Neural Model for Solving Emden–Fowler Type Equations of Third Order

AK Sahoo, S Chakraverty - Mathematical Methods in Dynamical …, 2023 - taylorfrancis.com
The machine learning technique for handling multimodal dynamic system is a challenging
and rapidly expanding field of research. Study of linear and non-linear systems of singular …

[PDF][PDF] A Chebyshev Polynomial Neural Network Solver for Boundary Value Problems of Elliptic Equations

L Meng, X Zhang, H Wang - EAST ASIAN JOURNAL ON APPLIED …, 2023 - global-sci.com
A Chebyshev polynomial neural network for solving boundary value problems for one-and
two-dimensional partial differential equations is constructed. In particular, the input …

Application of Physics-Informed Neural Networks for Simulating Mass-Spring-Damper Systems

AK Sahoo, S Kumar, S Chakraverty - 2024 - researchsquare.com
Dynamical problems are generally governed by a set of linear/non-linear differential
equations (DEs). A large amount of prior physical information in the form of DEs plays an …

[PDF][PDF] OPTIMIZATION OF CUTTING PARAMETERS AND PREDICTION OF SURFACE ROUGHNESS IN TURNING OF DUPLEX STAINLESS STEEL (DSS) USING A …

SRINTOF DUPLEX - iotpe.com
Among the metrological controls, the control of the roughness of a surface, this
measurement activity has a cost that should not be underestimated in the parts …