✦ LIBER ✦

General properties of realistic neural network dynamics

✍ Scribed by K. Mardanov; Yu. Pis'mak; A. Potyagailo

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 415 KB
Volume: 34
Category: Article
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(97)00166-1

No coin nor oath required. For personal study only.

✦ Synopsis

The role of symmetry in the dynamics of the Realistic Neural Network model is studied. The phase diagram for Symmetric Realistic Neural Network with an external input of the constrained in time action is constructed. The oscillation regimes are investigated. For RNN of general form, the mean-field approximation is obtained.

📜 SIMILAR VOLUMES

Dynamics of realistic neural network wit

Dynamics of realistic neural network with time-dependent external signal

✍ V.V. Ivanov; Yu.M. Itkis; B. Purevdorj; I.V. Puzynin; S.I. Vinitsky 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 451 KB

The action of external signals (constant, serrated, and its derivative, sinusoidal) on the RNN permit us to detect new specific features in the neural network dynamics, such as inertia, swapping, and depression. Besides phenomena such as flocking of active neurons, external stimulus amplification an

Hamiltonian dynamics of neural networks

✍ Ulrich Ramacher 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 874 KB

The activation and weight dynamics of Artificial Neural Networks are derived from a partial differential equation (PDE) that may incorporate weights either as parameters or variables. It is shown that a single first-order Hamilton-Jacobi "parametricai" PDE suffices to derive the various neurodynamic

A class of convergent neural network dyn

A class of convergent neural network dynamics

✍ Bernold Fiedler; Tomáš Gedeon 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 340 KB

We consider a class of systems of differential equations in Nn which exhibits convergent dynamics. We find a Lyapunov function and show that every bounded trajectory converges to the set of equilibria. Our result generalizes the results of Cohen and Grossberg (1983) for convergent neural networks. I

Generalized neural networks for spectral

Generalized neural networks for spectral analysis: dynamics and Liapunov functions

✍ José M. Vegas; Pedro J. Zufiria 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 285 KB

Properties of small neural networks

✍ R. B. Stein; K. V. Leung; M. N. Oğuztöreli; D. W. Williams 📂 Article 📅 1974 🏛 Springer-Verlag 🌐 English ⚖ 574 KB

Dynamics of simple electronic neural net

Dynamics of simple electronic neural networks

✍ K.L. Babcock; R.M. Westervelt 📂 Article 📅 1987 🏛 Elsevier Science 🌐 English ⚖ 869 KB