Non-linear vibrations of shells: A literature review from 2003 to 2013

F Alijani, M Amabili - International journal of non-linear mechanics, 2014 - Elsevier
The present literature review focuses on geometrically non-linear free and forced vibrations
of shells made of traditional and advanced materials. Flat and imperfect plates and …

[HTML][HTML] EEG analysis in patients with schizophrenia based on Lyapunov exponents

IE Kutepov, VV Dobriyan, MV Zhigalov… - Informatics in medicine …, 2020 - Elsevier
The present work focused on study of the chaotic nature of the electroencephalogram (EEG)
signal in schizophrenia by assessing Lyapunov exponents, which can serve as indicators of …

Investigations of chaotic dynamics of multi-layer beams taking into account rotational inertial effects

AV Krysko, J Awrejcewicz, OA Saltykova… - … in Nonlinear Science …, 2014 - Elsevier
We propose a novel mathematical model of a vibrating multi-layer Timoshenko-type beam.
We show that the introduced model essentially changes the type of partial differential …

[HTML][HTML] Quantifying chaos by various computational methods. Part 1: simple systems

J Awrejcewicz, AV Krysko, NP Erofeev, V Dobriyan… - Entropy, 2018 - mdpi.com
The aim of the paper was to analyze the given nonlinear problem by different methods of
computation of the Lyapunov exponents (Wolf method, Rosenstein method, Kantz method …

Continuous model and nonlinear dynamic responses of circular mesh antenna clamped at one side

W Zhang, J Chen, YF Zhang, XD Yang - Engineering Structures, 2017 - Elsevier
The continuous model and nonlinear dynamic responses of a circular mesh antenna
subjected to the thermal excitation in the space environment are investigated for the first …

Voltage-induced beating vibration of a dielectric elastomer membrane

J Zhang, H Chen - Nonlinear Dynamics, 2020 - Springer
An AC voltage induces a nonlinear vibration of dielectric elastomers (DEs), which enables
DE to be served as soft dynamical devices and robots. As is known, a special beating …

[HTML][HTML] Route to chaos in a unidirectional ring of three diffusively coupled erbium-doped fiber lasers

JO Esqueda de la Torre, JH García-López… - Photonics, 2023 - mdpi.com
We numerically investigate the dynamics of a ring consisting of three unidirectionally
coupled Erbium-Doped Fiber Lasers (EDLFs) without external pump modulation. The study …

Nonlinear breathing vibrations and chaos of a circular truss antenna with 1: 2 internal resonance

W Zhang, J Chen, Y Sun - International Journal of Bifurcation and …, 2016 - World Scientific
This paper investigates the nonlinear breathing vibrations and chaos of a circular truss
antenna under changing thermal environment with 1: 2 internal resonance for the first time …

Emergence of chaos and its control in a dissipative dielectric elastomeric membrane system under periodic loads

SK Behera, RA Ranjan, S Sarangi… - Journal of Sound and …, 2024 - Elsevier
Dielectric elastomer (DE) is a type of soft material that possesses voltage-induced
deformation. Irregular vibrations in a circular DE membrane with dam** under periodic …

Compilation of a coupled hyper-chaotic Lorenz system based on DNA strand displacement reaction network

C Zou, Q Zhang, X Wei - IEEE Transactions on NanoBioscience, 2020 - ieeexplore.ieee.org
Ideal formal chemical reaction network is an effective programming language to design
complex system dynamical behavior. In this article, a coupled hyper-chaotic Lorenz system …