Rare and hidden attractors in Van der Pol-Duffing oscillators

S Brezetskyi, D Dudkowski, T Kapitaniak - The European Physical Journal …, 2015 - Springer
We study the dynamics of the single and coupled van der Pol-Duffing oscillators. Each
oscillator is characterized by the multistability (the coexistence of attractors). Some of the …

[HTML][HTML] Design of a hybrid NAR-RBFs neural network for nonlinear dusty plasma system

AH Bukhari, M Sulaiman, MAZ Raja, S Islam… - Alexandria Engineering …, 2020 - Elsevier
Robust modeling of a multimodal dynamic system is a challenging and fast-growing area of
research. In this study, an integrated bi-modal computing paradigm based on Nonlinear …

Robust global exponential synchronization of uncertain chaotic delayed neural networks via dual-stage impulsive control

H Zhang, T Ma, GB Huang… - IEEE Transactions on …, 2009 - ieeexplore.ieee.org
This paper is concerned with the robust exponential synchronization problem of a class of
chaotic delayed neural networks with different parametric uncertainties. A novel impulsive …

[图书][B] Artificial neural networks for engineers and scientists: solving ordinary differential equations

S Chakraverty, S Mall - 2017 - taylorfrancis.com
Differential equations play a vital role in the fields of engineering and science. Problems in
engineering and science can be modeled using ordinary or partial differential equations …

Consensus-based distributed cooperative learning from closed-loop neural control systems

W Chen, S Hua, H Zhang - IEEE transactions on neural …, 2014 - ieeexplore.ieee.org
In this paper, the neural tracking problem is addressed for a group of uncertain nonlinear
systems where the system structures are identical but the reference signals are different …

Analytical solution for Van der Pol–Duffing oscillators

A Kimiaeifar, AR Saidi, GH Bagheri… - Chaos, Solitons & …, 2009 - Elsevier
In this paper, the problem of single-well, double-well and double-hump Van der Pol–Duffing
oscillator is studied. Governing equation is solved analytically using a new kind of analytic …

Combination of fractional FLANN filters for solving the Van der Pol-Duffing oscillator

KL Yin, YF Pu, L Lu - Neurocomputing, 2020 - Elsevier
Functional link artificial neural network (FLANN) has received much attention due to its wide
applicability. The Van der Pol-Duffing oscillator (VdPDO)-based nonlinear systems, which …

Hermite functional link neural network for solving the Van der Pol–Duffing oscillator equation

S Mall, S Chakraverty - Neural computation, 2016 - direct.mit.edu
Hermite polynomial-based functional link artificial neural network (FLANN) is proposed here
to solve the Van der Pol–Duffing oscillator equation. A single-layer hermite neural network …

Chaos synchronization using active control and backstep** control: a comparative analysis

UEE Vincent - Nonlinear Analysis: Modelling and Control, 2008 - zurnalai.vu.lt
This paper examines the synchronization performance of two widely used chaos
synchronization techniques: active control and backstep** control. It is shown that the two …

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 …