(10). This mean-field theory is dynamic because the network of neurons are reduced to a representative neuron in a dynamic field η(t) . Intuition A less rigorous but more intuitive way to analyze the network (1) is to replace the input term hi(t)=∑j=1NJijϕ(xj(t)) with a ...
In deriving the theory, this chapter also presents the extension of the model to stochastic dynamics due to additive uncorrelated Gaussian white noise (Schuecker et al., Phys Rev X 8:041029, 2018).doi:10.1007/978-3-030-46444-8_10Moritz Helias...
It suppresses the activation elsewhere in the field below resting level. Once the stable attractor state has been reached, the decision represented by the peak location is protected against noise and fluctuations in the input stream. This does not mean, however, that the peak is completely immune...
We consider a dynamic mean-field ferromagnetic model in the low-temperature regime in the neighborhood of the zero magnetization state. We study the random time it takes for the system to make a decision, i.e., to exit the neighborhood of the unstable equilibrium and approach one of the two...
Application of mean-field theory in PP/ EVA blends by focusing on dynamic mechanical properties in correlation with miscibility analysis. Compo Part B-Eng 2015;79:74e82.Aghjeh, M.R.; Khonakdar, H.A.; Jafari, S.H. Application of mean-field theory in PP/EVA blends by focusing on ...
By developing a mean-field theory, which we verify by simulations, we find coupled collective phenomena, including multistability, regions of coexistence, and macroscopic chaos. In interdependent dynamics, in particular, we observe hysteretic behaviours with abrupt (hybrid and explosive) transitions, ...
(…) spontaneous pattern formation is exactly what we mean byself-organization: the system organizes itself, but there is no ‘self’, no agent inside the system doing the organizing.” Thus, the individual parts of the system together make up a larger, more complex, and coherent whole. ...
A relaxation-function theory for the dynamic spin susceptibility in the$t$--$J$ model is presented. By a sum-rule-conserving generalized mean-fieldapproxim... AA Vladimirov,D Ihle,NM Plakida - 《Physical Review B》 被引量: 0发表: 2009年 Signatures of spin-glass behavior in the induced...
6a, b, we found that neutral items encoded during high-valence music (i.e., more positive emotions) were statistically significantly better remembered as a function of increasing arousal (1 SD above the mean = 0.073; β = 0.08, p < 0.001, 95% CI = [0.03, 0.14])...
Furthermore, the properties of the Lagrangian are studied in the mean-field limit by considering the infinite-range random exchange. In this limit the self-consistent equations for the matrix components of the TFD causal Green function are derived with the effective thermal Hamiltonian containing the...