Learning Hamiltonian dynamics with reservoir computing

H Zhang, H Fan, L Wang, X Wang - Physical Review E, 2021 - APS
Reconstructing the Kolmogorov-Arnold-Moser (KAM) dynamics diagram of Hamiltonian
system from the time series of a limited number of parameters is an outstanding question in …

Synchronization and bifurcation structures in coupled periodically forced non-identical Duffing oscillators

UE Vincent, A Kenfack - Physica Scripta, 2008 - iopscience.iop.org
We study the bifurcation structure and the synchronization of a double-well Duffing oscillator
coupled to a single-well one and subjected to periodic forces. Using the amplitudes and the …

Measure synchronization in interacting Hamiltonian systems: A brief review

A Ghosh - Chaos, Solitons & Fractals, 2023 - Elsevier
This paper aims to review the measure synchronization, a weak form of synchronization
observed in coupled Hamiltonian systems, briefly. This synchronization is characterized by a …

A simple adaptive control for full and reduced-order synchronization of uncertain time-varying chaotic systems

UE Vincent, R Guo - Communications in Nonlinear Science and Numerical …, 2009 - Elsevier
In this paper, a simple adaptive feedback control is proposed for full and reduced-order
synchronization of time-varying and strictly uncertain chaotic systems. Our method uses only …

Anticipating measure synchronization in coupled Hamiltonian systems with machine learning

H Zhang, H Fan, Y Du, L Wang, X Wang - Chaos: An Interdisciplinary …, 2022 - pubs.aip.org
A model-free approach is proposed for anticipating the occurrence of measure
synchronization in coupled Hamiltonian systems. Specifically, by the technique of parameter …

Measure synchronization in quantum many-body systems

H Qiu, B Julia-Diaz, MA Garcia-March, A Polls - Physical Review A, 2014 - APS
The concept of measure synchronization between two coupled quantum many-body
systems is presented. In general terms we consider two quantum many-body systems whose …

Measure synchronization in coupled Duffing Hamiltonian systems

UE Vincent - New Journal of Physics, 2005 - iopscience.iop.org
We examine the collective behaviour of coupled Duffing Hamiltonian systems (HS) and
show the existence of measure synchronization (MS) in the quasi-periodic (QP) and-chaotic …

Synchronization, multistability and basin crisis in coupled pendula

OI Olusola, UE Vincent, AN Njah - Journal of sound and vibration, 2010 - Elsevier
The synchronization dynamics of two linearly coupled pendula is studied in this paper.
Based on the Lyapunov stability theory and Linear matrix inequality (LMI); some necessary …

Phase synchronization in unidirectionally coupled chaotic ratchets

UE Vincent, AN Njah, O Akinlade… - … Journal of Nonlinear …, 2004 - pubs.aip.org
The existence of phase synhronization of coupled nonautonomous driven chaotic oscillators
(the so-called chaotic rotators) have been demonstrated for driven continuoustime rotators …

Measure synchronization in a two-species bosonic Josephson junction

J Tian, H Qiu, G Wang, Y Chen, L Fu - … E—Statistical, Nonlinear, and Soft Matter …, 2013 - APS
Measure synchronization (MS) in a two-species bosonic Josephson junction (BJJ) is studied
based on semiclassical theory. Six different scenarios for MS, including two in the …