Lyapunov Functions for Neural Nets with Nondifferentiable Input-Output Characteristics
- 1 January 1997
- journal article
- Published by MIT Press in Neural Computation
- Vol. 9 (1), 43-49
- https://doi.org/10.1162/neco.1997.9.1.43
Abstract
I construct Lyapunov functions for asynchronous dynamics and synch ronous dynamics of neural networks with nondifferentiable input-output characteristics.Keywords
This publication has 10 references indexed in Scilit:
- On Neurodynamics with Limiter Function and Linsker's Developmental ModelNeural Computation, 1996
- Role of noises in neural networksPhysical Review E, 1995
- Stability and Optimization Analyses of the Generalized Brain-State-in-a-Box Neural Network ModelJournal of Mathematical Psychology, 1993
- Distributed dynamics in neural networksPhysical Review E, 1993
- Dynamical analysis of the brain-state-in-a-box (BSB) neural modelsIEEE Transactions on Neural Networks, 1992
- Dynamics of iterated-map neural networksPhysical Review A, 1989
- Nonlinear neural networks: Principles, mechanisms, and architecturesNeural Networks, 1988
- From basic network principles to neural architecture: emergence of spatial-opponent cells.Proceedings of the National Academy of Sciences, 1986
- Neurons with graded response have collective computational properties like those of two-state neurons.Proceedings of the National Academy of Sciences, 1984
- Neural networks and physical systems with emergent collective computational abilities.Proceedings of the National Academy of Sciences, 1982