Local homeostasis stabilizes a model of the olfactory system globally in respect to perturbations by input during pattern classification

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 8, Issue 11, 1998, Pages 2107-2123

  Chang, Hung Jen ^a   Freeman, Walter J ^a   Burke, Brian C ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032214553     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127498001741     Document Type: Article

References (32)

1. Barrie, J., Freeman, W. J. & Lenhart, M. [1996] "Spatiotemporal analysis of prepyriform, visual, auditory, and somesthetic surface EEGs in trained rabbits," J. Neurophysiol. 76, 520-539.
2. Buckley, S. [1975] "Phase monitored inspection," Proc. 3rd North Am. Metalworking Res. Conf. 701-712.
3. Buckley, S. & Stelson, S. [1978] "Phase monitoring for automated inspection, positioning and assembly," Trans. Soc. Manuf. Eng. 6, 50-63.
4. Chang, H.-J. & Freeman, W. J. [1996] "Parameter optimization in an olfactory neural systems," Neural Networks 9, 1-14.
5. Chang, H.-J., Freeman, W. J. & Burke, B. C. [1998a] "Optimization of olfactory model in software to give 1/f power spectra reveals numerical instabilities in solutions governed by aperiodic (chaotic) attractors," Neural Networks, 11, 449-466.
6. Chang, H.-J., Freeman, W. J. & Burke, B. C. [1998b] "Biologically modeled noise stabilizing neurodynamics for pattern recognition," Int. J. Bifurcation and Choas 8, 321-345.
7. Dawson, S., Grebogi, C., Sauer, T. & Yorke, J. A. [1994] "Obstructions to shadowing when a Lyapunov exponent fluctuates about zero," Phys. Rev. Lett. 73, 1927-1930.
8. Eeckman, F. H. & Freeman, W. J. [1991] "Asymmetric sigmoid nonlinearity in the rat olfactory system," Brain Res. 557, 13-21.
9. Eisenberg, J., Freeman, W. J. & Burke, B. [1989] "Hardware architecture of a neural network model simulating pattern recognition by the olfactory bulb," Neural Networks 2, 315-325.
10. Freeman, W. J. [1964] "A linear distributed feedback model for prepyriform cortex," Exp. Neurol. 10, 525-547.
11. Freeman, W. J. [1972] "Waves, pulses and the theory of neural masses," Prog. Theor. Biol. 2, 87-165.
12. Freeman, W. J. [1974a] "A model for mutual excitation in a neuron population in olfactory bulb," IEEE Trans. Biomed. Eng. 21, 350-358.
13. Freeman, W. J. [1974b] "Stability characteristics of positive feedback in a neural population," IEEE Trans. Biomed. Eng. 21, 358-364.
14. Freeman, W. J. [1975] Mass Action in the Nervous System (Academic Press, NY).
15. Freeman, W. J. [1979a] "Nonlinear gain mediating cortical stimulus-response relations," Biol. Cybern. 33, 237-247.
16. Freeman, W. J. [1979b] "Nonlinear dynamics of paleocortex manifested in the olfactory EEG," Biol. Cybern. 35, 21-37.
17. Freeman, W. J. [1987] "Simulation of chaotic EEG patterns with a dynamic model of the olfactory system," Biol. Cybern. 56, 139-150.
18. Freeman, W. J. [1988] "Pattern learning and recognition device," United States Patent # 4,748,674, May 31.
19. Freeman, W. J. [1992] "Tutorial on neurobiology: From single neurons to brain chaos," Int. J. Bifurcation and Chaos 2, 451-482.
20. Freeman, W. J. [1995] Society of Brains (Lawrence Erlbaum, Hillsdale), Note 5.2, p. 173.
21. Freeman, W. J. [1996] "Random activity at the microscopic neural level in cortex ("noise") sustains and is regulated by low-dimensional dynamics of macroscopic cortical activity ("chaos")," Int. J. Neural Syst. 7, 473-480.
22. Freeman, W. J., Chang, H.-J. & Burke, C. B. [1995] "Limitations on numerical simulations of chaotic dynamics observed in brain systems," Int. Symp. Nonlinear Theory and Applications I, pp. 10-14.
23. Freeman, W. J., Chang, H.-J., Burke, C. B., Rose, P. A. & Badler, J. [1997] "Taming chaos: Stabilization of aperiodic attractors by noise," IEEE Trans. Circuits Syst. 44, 989-996.
24. Freeman, W. J. & Shimoide, K. [1994] "New approaches to nonlinear concepts in neural information processing: Parameter optimization in a large-scale biologically plausible cortical network," in An Introduction to Neural and Electronic Networks, 2nd edition, eds. Zornitzer, S. F., Davis, J. L. & Mckenna T. (Academic Press, NY).
25. Freeman, W. J., Yao, Y. & Burke, C. B. [1988] "Central pattern generating and recognizing in olfactory bulb: A correlation learning rule," Neural Networks 1, 277-288.
26. Hammel, S. M. & Yorke, J. A. [1987] "Do numerical orbits of chaotic dynamical processes represent true orbit?" J. Complexity 3, 136-145.
27. Kay, L., Shimoide, K. & Freeman, W. J. [1995] "Comparison of EEG time series from rat olfactory system with model composed of nonlinear coupled oscillators," Int. J. Bifurcation and Chaos 5, 849-858.
28. Tavormina, J. J. & Buckley, S. [1978] "Automated positioning and assembly under minicomputer control via acoustic phase monitoring," Trans. Soc. Manuf. Eng. 6, 448-454.
29. Tsang, K. Y. & Wiesenfeld, K. [1990] "Attractor crowding in Josephson junction arrays," Appl. Phys. Lett. 56, 4745-4749.
30. Wiesenfeld, K. & Hadley, P. [1989] "Attractor crowding in oscillator arrays," Phys. Rev. Lett. 62, 1335-1338.
31. Yao, Y. & Freeman, W. J. [1990] "Model of biological pattern recognition with spatially chaotic dynamics," Neural Networks 3, 153-170.
32. Yao, Y., Freeman, W. J., Burke, C. B. & Yang, Q. [1991] "Pattern recognition by a distributed neural networks: An industrial application," Neural Networks 4, 103-121.