The Kuramoto model: A simple paradigm for synchronization phenomena
Synchronization phenomena in large populations of interacting elements are the subject of
intense research efforts in physical, biological, chemical, and social systems. A successful …
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 …
discusses fundamental properties of transient and stationary solutions, emphasizing the …
L0 regularization-based compressed sensing with quantum–classical hybrid approach
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 …
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 …
bi-harmonic coupling function, in the thermodynamic limit of large populations. We develop …
Effect of Coupling Discretization on Coherent-Ising-Machine-Implemented Hopfield Model
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 …
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 …
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 …
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
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 …
attract attention as one of the most effective Ising computing architectures for solving large …
Erosion of synchronization: Coupling heterogeneity and network structure
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 …
frustration. It was recently demonstrated that in heterogeneous network topologies, the …
[HTML][HTML] Critical memory capacity of Hopfield model implemented in coherent Ising machine
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 …
computing architectures for solving large-scale optimization problems because of its …