Mean-field equations, bifurcation map and chaos in discrete time, continuous state, random neural networks
Graduate studies at Western
Acta Biotheoretica 43 (1-2) (1995)
|Abstract||The dynamical behaviour of a very general model of neural networks with random asymmetric synaptic weights is investigated in the presence of random thresholds. Using mean-field equations, the bifurcations of the fixed points and the change of regime when varying control parameters are established. Different areas with various regimes are defined in the parameter space. Chaos arises generically by a quasi-periodicity route.|
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Configure|
Similar books and articles
Enrico Blanzieri (1997). Dynamical Learning Algorithms for Neural Networks and Neural Constructivism. Behavioral and Brain Sciences 20 (4):559-559.
Mathias Quoy, Jean-Paul Banquet & Emmanuel Daucé (2001). Learning and Control with Chaos: From Biology to Robotics. Behavioral and Brain Sciences 24 (5):824-825.
Stan Franklin & Max Garzon (1992). On Stability and Solvability (or, When Does a Neural Network Solve a Problem?). Minds and Machines 2 (1):71-83.
J. Demongeot, D. Benaouda, O. Nérot & C. Jézéquel (1994). Random Simulation and Confiners: Their Application to Neural Networks. Acta Biotheoretica 42 (2-3).
J. McKenzie Alexander (2003). Random Boolean Networks and Evolutionary Game Theory. Philosophy of Science 70 (5):1289-1304.
Peter Forrest (1995). Is Space-Time Discrete or Continuous? — An Empirical Question. Synthese 103 (3):327--354.
Gualtiero Piccinini (2008). Some Neural Networks Compute, Others Don't. Neural Networks 21 (2-3):311-321.
I. M. de la Fuente, L. Martinez, J. M. Aguirregabiria & J. Veguillas (1998). Coexistence of Multiple Periodic and Chaotic Regimes in Biochemical Oscillations with Phase Shifts. Acta Biotheoretica 46 (1).
B. Doyon, B. Cessac, M. Quoy & M. Samuelides (1994). On Bifurcations and Chaos in Random Neural Networks. Acta Biotheoretica 42 (2-3).
Added to index2009-01-28
Total downloads3 ( #213,976 of 739,559 )
Recent downloads (6 months)1 ( #61,778 of 739,559 )
How can I increase my downloads?