The Bifurcating Neuron Network 1

Neural Networks

Volumn 14, Issue 1, 2001, Pages 115-131

  Lee, G ^a   Farhat, N H ^a  

^a UNIVERSITY OF PENNSYLVANIA   (United States)

Author keywords

Attractor merging crisis; Bifurcating neuron; Bifurcating neuron network; Chaos; Coherence; Integrate and fire neuron; Neural network; Time coding

Indexed keywords

ASSOCIATIVE STORAGE; CHAOS THEORY; COMPUTATIONAL COMPLEXITY; COMPUTER SIMULATION; MATHEMATICAL MODELS; SIGNAL ENCODING;

BIFURCATING NEURONS; CHAOTIC INTEGRATE-AND-FIRE NEURONS;

NEURAL NETWORKS;

ACTION POTENTIAL; ARTIFICIAL NEURAL NETWORK; ASSOCIATIVE MEMORY; ELECTROENCEPHALOGRAM; LEARNING; NONLINEAR SYSTEM; OSCILLATOR; PATTERN RECOGNITION; PRIORITY JOURNAL; REVIEW; TRAINING;

EID: 0035184762     PISSN: 08936080     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-6080(00)00083-6     Document Type: Article

References (67)

1. Asynchronous states in networks of pulse-coupled oscillators
2. A learning algorithm for Boltzmann machines
3. The impulses produced by sensory nerve endings
4. Chaotic oscillations and bifurcations in squid giant axons
5. Chaotic neural networks
6. The Gaussian machine: a stochastic neural network for solving assignment problems
7. Low-dimensional chaos in an instance of epilepsy
8. Evidence of chaotic dynamics of brain activity during the sleep cycle
9. Synergetics of neural populations, survey on experiments
10. Pulse-coupled relaxation oscillators: from biological synchronization to Self-organized Criticality
11. Frequency analysis of olfactory system EEG in cat, rabbit, and rat
12. Function of the thalamic reticular complex: the searchlight hypothesis
13. Feature linking via synchronization among distributed assemblies: simulation results from cat visual cortex
14. Coherent oscillations: a mechanism of feature linking in the visual cortex?
15. Petit mal seizure spikes in olfactory bulb and cortex caused by runaway inhibition after exhaustion of excitation
16. patterns, nonlinear dynamics and perception: neo-Sherringtonian view
17. Spatial patterns of visual cortical fast eeg during conditioned reflex in a rhesus monkey
18. Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images
19. Stimulus-specific neuronal oscillations in orientation columns of cat visual cortex
20. Unstable periodic orbits and the dimension of chaotic attractors
21. Chaotic behavior in the onchidium giant neuron under sinusoidal stimulation
22. A quantitative description of membrane current and its application to conduction and excitation in nerve
23. Bifurcating neuron
24. The response of a molluscan neuron to a cyclic input: entrainment and phase-locking
25. Coupled map lattice as computational systems
26. Neural networks and physical systems with emergent collective computational abilities
27. Pattern recognition computation using action potential timing for stimulus representation
28. Neural computation of decisions in optimization problems
29. Overview of coupled map lattices
30. Optimization by simulated annealing
31. Dynamics of encoding in a population of neurons
32. High frequency scalp potentials evoked by a reaction time task
33. Associative memory with networks of spiking neurons in temporal coding
34. A model for visual shape recognition
35. Synchronization of pulse-coupled biological oscillators
36. Spatial and temporal pattern analysis via spiking neurons
37. Chaotic dynamics applied to information processing
38. A neural network model as a globally coupled map and applications based on chaos
39. The hippocampus as a spatial map: preliminary evidence from unit activity in the freely-moving rat
40. Phase relationship between hippocampal place units and the EEG theta rhythm
41. Controlling chaos
42. A mean field theory algorithm for neural networks
43. The role of chaos in neural systems
44. Dynamics of spontaneous neural activity in the simian motor cortex: the dimension of chaotic neurons
45. Compartment models of complex neurons
46. How brains make chaos in order to make sense of the world
47. The highly irregular firing of cortical cells is inconsistent with temporal integration of random EPSPs
48. Chaos in random neural networks
49. On chaotic simulated annealing
50. Model of biological pattern recognition with spatially chaotic dynamics