The Kuramoto model: A simple paradigm for synchronization phenomena

JA Acebrón, LL Bonilla, CJ Pérez Vicente, F Ritort… - Reviews of modern …, 2005 - APS
Synchronization phenomena in large populations of interacting elements are the subject of
intense research efforts in physical, biological, chemical, and social systems. A successful …

[图书][B] Nonlinear Fokker-Planck equations: fundamentals and applications

TD Frank - 2005 - books.google.com
Providing an introduction to the theory of nonlinear Fokker-Planck equations, this book
discusses fundamental properties of transient and stationary solutions, emphasizing the …

L0 regularization-based compressed sensing with quantum–classical hybrid approach

T Aonishi, K Mimura, M Okada… - Quantum Science and …, 2022 - iopscience.iop.org
L0-regularization-based compressed sensing (L0-RBCS) has the potential to outperform L1-
regularization-based compressed sensing (L1-RBCS), but the optimization in L0-RBCS is …

The Kuramoto model of coupled oscillators with a bi-harmonic coupling function

M Komarov, A Pikovsky - Physica D: Nonlinear Phenomena, 2014 - Elsevier
We study synchronization in a Kuramoto model of globally coupled phase oscillators with a
bi-harmonic coupling function, in the thermodynamic limit of large populations. We develop …

Effect of Coupling Discretization on Coherent-Ising-Machine-Implemented Hopfield Model

R Sasaki, S Nakagawa, K Mimura, M Okada… - Journal of the Physical …, 2023 - journals.jps.jp
The coherent Ising machine (CIM) is being developed for solving combinatorial optimization
problems scalably at high speed. The actual equipment of the measurement-feedback type …

Measurement of infinitesimal phase response curves from noisy real neurons

K Ota, T Omori, S Watanabe, H Miyakawa… - Physical Review E …, 2011 - APS
We sought to measure infinitesimal phase response curves (iPRCs) from rat hippocampal
CA1 pyramidal neurons. It is difficult to measure iPRCs from noisy neurons because of the …

Linear and nonlinear Fokker-Planck equations

TD Frank - Synergetics, 2020 - Springer
application fields of linear Fokker-Planck equations. Unfortunately, so far, there is no
wellestablished theory connecting all kinds of nonlinear Fokker-Planck equations. There is …

[HTML][HTML] Statistical mechanics of CDMA multiuser detector implemented in coherent Ising machine

T Aonishi, K Mimura, M Okada… - Journal of Applied …, 2018 - pubs.aip.org
The scalability and computational ability of the coherent Ising machine (CIM) have made it
attract attention as one of the most effective Ising computing architectures for solving large …

Erosion of synchronization: Coupling heterogeneity and network structure

PS Skardal, D Taylor, J Sun, A Arenas - Physica D: Nonlinear Phenomena, 2016 - Elsevier
We study the dynamics of network-coupled phase oscillators in the presence of coupling
frustration. It was recently demonstrated that in heterogeneous network topologies, the …

[HTML][HTML] Critical memory capacity of Hopfield model implemented in coherent Ising machine

T Aonishi, M Okada, K Mimura… - Journal of Applied …, 2018 - pubs.aip.org
The coherent Ising machine (CIM) has attracted attention as one of the most effective Ising
computing architectures for solving large-scale optimization problems because of its …