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 …
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 …
Pattern recognition with simple oscillating circuits
RW Hölzel, K Krischer - New Journal of Physics, 2011 - iopscience.iop.org
Neural network devices that inherently possess parallel computing capabilities are generally
difficult to construct because of the large number of neuron–neuron connections. However …
difficult to construct because of the large number of neuron–neuron connections. However …
Robust autoassociative memory with coupled networks of Kuramoto-type oscillators
D Heger, K Krischer - Physical Review E, 2016 - APS
Uncertain recognition success, unfavorable scaling of connection complexity, or
dependence on complex external input impair the usefulness of current oscillatory neural …
dependence on complex external input impair the usefulness of current oscillatory neural …
Statistical mechanics of stochastic neural networks: Relationship between the self-consistent signal-to-noise analysis, Thouless-Anderson-Palmer equation, and …
M Shiino, M Yamana - Physical Review E, 2004 - APS
We study the statistical mechanical aspects of stochastic analog neural network models for
associative memory with correlation type learning. We take three approaches to derive the …
associative memory with correlation type learning. We take three approaches to derive the …
Statistical estimation algorithm for phase response curves
T Aonishi, K Ota - Journal of the Physical Society of Japan, 2006 - jstage.jst.go.jp
accepted September 13, 2006; published November 10, 2006) Phase response curves
(PRCs), which correspond to the Green function, represent an impulse response in …
(PRCs), which correspond to the Green function, represent an impulse response in …
A Neural Network of Weakly Coupled Nonlinear Oscillators with a Global, Time-Dependent Coupling-Theory and Experiment
R Hölzel - 2013 - mediatum.ub.tum.de
An existing mathematical model using a single, time-dependent parameter controlling all
synapses in a network of oscillatory neurons was investigated for its feasibility in a real-life …
synapses in a network of oscillatory neurons was investigated for its feasibility in a real-life …
[PDF][PDF] The Kuramoto Model
Time plays a key role for all living beings. Their activity is governed by cycles of different
duration which determine their individual and social behavior. Some of these cycles are …
duration which determine their individual and social behavior. Some of these cycles are …
Dynamics of retrieval process in coupled oscillator models with scattered natural frequency
S Kawaguchi - Journal of the Physical Society of Japan, 2010 - journals.jps.jp
In this study, we consider the dynamics of the retrieval process in oscillator associative
memory models that have frustrations and a distributed natural frequency. By applying the …
memory models that have frustrations and a distributed natural frequency. By applying the …
Pattern recognition with phase oscillator networks: Analysis and experimental verification of a novel architecture
D Heger - 2018 - mediatum.ub.tum.de
Uncertain recognition success, unfavorable scaling of connection complexity, or
dependence on complex external input impair current oscillatory neural networks for pattern …
dependence on complex external input impair current oscillatory neural networks for pattern …