Lower-dimensional simple chaotic systems with spectacular features

Z Wang, A Ahmadi, H Tian, S Jafari, G Chen - Chaos, Solitons & Fractals, 2023 - Elsevier
Lower-dimensional chaotic systems are easily implementable and cost-effective, therefore,
more desirable for practical considerations. Not only can such systems preserve basic …

Superextreme spiking oscillations and multistability in a memristor-based Hindmarsh–Rose neuron model

SD Vijay, K Thamilmaran, AI Ahamed - Nonlinear Dynamics, 2023 - Springer
In this paper, we investigate the occurrence of superextreme spiking (SES) oscillations and
multistability behavior in a memristor-based Hindmarsh–Rose neuron model. The presence …

[HTML][HTML] Prediction of dragon king extreme events using machine learning approaches and its characterizations

P Durairaj, GK Sundararam, S Kanagaraj, K Rajagopal - Physics Letters A, 2023 - Elsevier
In this study, we employ a machine learning approach to infer the complex dynamics of
dragon king extreme events. Specifically, we utilize two distinct machine learning …

Dynamical analysis of T–S fuzzy financial systems: A sampled-data control approach

B Thangavel, S Srinivasan, T Kathamuthu… - International Journal of …, 2022 - Springer
This paper investigates the sampled-data stabilization of the Takagi–Sugano (T–S) fuzzy
system, focusing on the existence of extreme event (EE) and its application to the financial …

Extreme events in a complex network: Interplay between degree distribution and repulsive interaction

A Ray, T Bröhl, A Mishra, S Ghosh, D Ghosh… - … Journal of Nonlinear …, 2022 - pubs.aip.org
The role of topological heterogeneity in the origin of extreme events in a network is
investigated here. The dynamics of the oscillators associated with the nodes are assumed to …

Interior Crisis Route to Extreme Events in a Memristor-Based 3D Jerk System

G Vivekanandan, LK Kengne… - … Journal of Bifurcation …, 2024 - World Scientific
In dynamical systems, events that deviate significantly from usual or expected behavior are
referred to as extreme events. This paper investigates the mechanism of extreme event …

Extreme events in a damped Korteweg–de Vries (KdV) autonomous system: A comprehensive analysis

K Thamilmaran, T Bhagyaraj, S Sabarathinam - Chaos, Solitons & Fractals, 2024 - Elsevier
This manuscript explores extreme events in a three-dimensional, damped Korteweg–de
Vries (KdV) autonomous system that is derived from the jerk system with a modified basin …

Mixed-mode oscillations and extreme events in fractional-order Bonhoeffer–van der Pol oscillator

Z Wei, S Kumarasamy, M Ramasamy… - … Journal of Nonlinear …, 2023 - pubs.aip.org
In the present study, we investigate the dynamic behavior of the fractional-order Bonhoeffer–
van der Pol (BVP) oscillator. Previous studies on the integer-order BVP have shown that it …

Fuzzy sampled-data stabilization of hidden oscillations in a memristor-based dynamical system

T Bhagyaraj, S Sabarathinam, V Popov… - … Journal of Bifurcation …, 2023 - World Scientific
In the manuscript, we report the dynamics of the Takagi–Sugeno (T–S) fuzzy memristor-
based hidden system via sampled-data control. For an open-loop formulation, the system …

Extreme rotational events in a forced-damped nonlinear pendulum

TK Pal, A Ray, S Nag Chowdhury… - … Interdisciplinary Journal of …, 2023 - pubs.aip.org
Since Galileo's time, the pendulum has evolved into one of the most exciting physical
objects in mathematical modeling due to its vast range of applications for studying various …