A review of the digital implementation of continuous-time fractional-order chaotic systems using FPGAs and embedded hardware

D Clemente-López, JM Munoz-Pacheco… - … Methods in Engineering, 2023 - Springer
The hallmark of fractional-order derivatives is a memory kernel to describe real-world
phenomena with a better approximation than classical calculus. In fractional-order chaotic …

Review of control surface freeplay

J Panchal, H Benaroya - Progress in Aerospace Sciences, 2021 - Elsevier
In the last few decades, there has been an increasing interest in the field of nonlinear
aeroelasticity. With substantial improvements in computing capabilities, the control surface …

The mechanism of bursting oscillations with different codimensional bifurcations and nonlinear structures

Q Bi, S Li, J Kurths, Z Zhang - Nonlinear Dynamics, 2016 - Springer
The main purpose of this article is to demonstrate that bursting oscillations can be observed
not only in the slow–fast autonomous dynamical systems with multiple scales associated …

Nonlinear dynamics, bifurcations, and multi-stability in a vibro-impact system with geometric and multi-segmented freeplay nonlinearities

BE Saunders, R Vasconcellos, RJ Kuether… - Nonlinear …, 2023 - Springer
Freeplay is a common type of piecewise-smooth nonlinearity in dynamical systems, and it
can cause discontinuity-induced bifurcations and other behaviors that may bring about …

A comparison of classical Runge-Kutta and Henon's methods for capturing chaos and chaotic transients in an aeroelastic system with freeplay nonlinearity

H Dai, X Yue, J Yuan, D **e, SN Atluri - Nonlinear Dynamics, 2015 - Springer
A typical two-dimensional airfoil with freeplay nonlinearity in pitch undergoing subsonic flow
is studied via numerical integration methods. Due to the existence of the discontinuous …

Multi-fractality in aeroelastic response as a precursor to flutter

J Venkatramani, V Nair, RI Sujith, S Gupta… - Journal of Sound and …, 2017 - Elsevier
Wind tunnel tests on a NACA 0012 airfoil have been carried out to study the transition in
aeroelastic response from an initial state characterised by low-amplitude aperiodic …

Relationship between the contact force strength and numerical inaccuracies in piecewise-smooth systems

BE Saunders, R Vasconcellos, RJ Kuether… - International Journal of …, 2021 - Elsevier
This work studies the different types of behavior and inaccuracies that can occur when
contact is not adequately accounted for in a dynamical system with freeplay, as the strength …

Vibro-impact analysis and characterization of pipeline conveying fluids with multi-segmented motion-limiting constraints

T Alvis, BE Saunders, A Abdelkefi - Applied Mathematical Modelling, 2023 - Elsevier
Previous studies of the cantilevered pipeline conveying fluid system have included motion-
limiting constraints in the form of trilinear springs. While this is desirable in experimental …

Multiple transient transitions behavior analysis of a double memristor's hidden system and its circuit

C Du, L Liu, S Shi, Y Wei - Ieee Access, 2020 - ieeexplore.ieee.org
In this paper, a low-dimensional hidden nonlinear system is constructed by replacing two
linear resistors of a simple integrating circuit with two active memristors. The system was …

Proper orthogonal decomposition method for analysis of nonlinear panel flutter with thermal effects in supersonic flow

D **e, M Xu, H Dai, EH Dowell - Journal of Sound and Vibration, 2015 - Elsevier
The proper orthogonal decomposition (POD) method for analysis of nonlinear panel flutter
subjected to supersonic flow is presented. Optimal POD modes are extracted from a chaotic …