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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 …
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 …
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 …
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
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 …
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
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 …
is studied via numerical integration methods. Due to the existence of the discontinuous …
Multi-fractality in aeroelastic response as a precursor to flutter
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 …
aeroelastic response from an initial state characterised by low-amplitude aperiodic …
Relationship between the contact force strength and numerical inaccuracies in piecewise-smooth systems
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 …
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 …
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 …
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
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 …
subjected to supersonic flow is presented. Optimal POD modes are extracted from a chaotic …