Robust optimization and validation of echo state networks for learning chaotic dynamics
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 …
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 …
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 …
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 …
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 …
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
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 …
accomplished by parallelly coupling a simple memristive diode bridge emulator into a Sallen …
Hidden attractors and dynamical behaviors in an extended Rikitake system
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 …
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 …
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 …
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 …
fundamental similarity is that they are essentially dynamical systems that can learn to imitate …