Robust optimization and validation of echo state networks for learning chaotic dynamics

A Racca, L Magri - Neural Networks, 2021 - Elsevier
An approach to the time-accurate prediction of chaotic solutions is by learning temporal
patterns from data. Echo State Networks (ESNs), which are a class of Reservoir Computing …

A new finding of the existence of hidden hyperchaotic attractors with no equilibria

Z Wei, R Wang, A Liu - Mathematics and Computers in Simulation, 2014 - Elsevier
The paper presents a new four-dimensional hyperchaotic system developed by extension of
the generalized diffusionless Lorenz equations. The model is shown to not be equivalent to …

Hidden hyperchaotic attractors in a modified Lorenz–Stenflo system with only one stable equilibrium

Z Wei, W Zhang - International Journal of Bifurcation and Chaos, 2014 - World Scientific
This paper reports the finding of a four-dimensional (4D) non-Sil'nikov autonomous system
with three quadratic nonlinearities, which exhibits some behavior previously unobserved …

Multistability and hidden attractors in a multilevel DC/DC converter

ZT Zhusubaliyev, E Mosekilde - Mathematics and Computers in Simulation, 2015 - Elsevier
An attracting periodic, quasiperiodic or chaotic set of a smooth, autonomous system may be
referred to as a “hidden attractor” if its basin of attraction does not overlap with the …

Co-existing hidden attractors in a radio-physical oscillator system

AP Kuznetsov, SP Kuznetsov… - Journal of Physics A …, 2015 - iopscience.iop.org
The term'hidden attractor'relates to a stable periodic, quasiperiodic or chaotic state whose
basin of attraction does not overlap with the neighborhood of an unstable equilibrium point …

Numerical and experimental confirmations of quasi-periodic behavior and chaotic bursting in third-order autonomous memristive oscillator

BC Bao, PY Wu, H Bao, Q Xu, M Chen - Chaos, Solitons & Fractals, 2018 - Elsevier
This paper presents a novel third-order autonomous memristive chaotic oscillator, which is
accomplished by parallelly coupling a simple memristive diode bridge emulator into a Sallen …

Hidden attractors and dynamical behaviors in an extended Rikitake system

Z Wei, W Zhang, Z Wang, M Yao - International Journal of …, 2015 - World Scientific
In this paper, an extended Rikitake system is studied. Several issues, such as Hopf
bifurcation, coexistence of stable equilibria and hidden attractor, and dynamics analysis at …

Chaos, periodicity, and quasiperiodicity in a radio-physical oscillator

V Wiggers, PC Rech - International Journal of Bifurcation and Chaos, 2017 - World Scientific
We report parameter planes displaying dynamical behaviors of a radio-physical oscillator
system, which is modeled by a set of four-parameter three autonomous first-order nonlinear …

[HTML][HTML] Nonlinear dynamics of pure intrinsic thermo-acoustic modes

R Wildemans, V Kornilov, P De Goey, IL Arteaga - Combustion and Flame, 2023 - Elsevier
In this paper the nonlinear dynamics of the pure Intrinsic Thermo-Acoustic (ITA) modes are
experimentally investigated for burner stabilized premixed flames by decoupling them from …

[HTML][HTML] Invertible generalized synchronization: A putative mechanism for implicit learning in neural systems

Z Lu, DS Bassett - Chaos: An Interdisciplinary Journal of Nonlinear …, 2020 - pubs.aip.org
Regardless of the marked differences between biological and artificial neural systems, one
fundamental similarity is that they are essentially dynamical systems that can learn to imitate …