Determination of chaotic attractors in the rat brain

Journal of Statistical Physics

Volumn 84, Issue 5-6, 1996, Pages 1379-1385

  Celletti, Alessandra ^a   Villa, Alessandro E P ^b  

^a UNIVERSITY OF L'AQUILA   (Italy)

^b UNIVERSITY OF LAUSANNE   (Switzerland)

Author keywords

Chaos; Correlation dimension; Electrophysiology; Entropy; Nonlinear dynamics; Spike trains

Indexed keywords

EID: 0030487071     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02174137     Document Type: Article

References (13)

1. M. Abeles and G. L. Gerstein, Detecting spatiotemporal firing patterns among simultaneously recorded single neurones, J. Neurophvsiol. 60:909 (1988).
2. E. Ahissar, E. Vaadia, M. Ahissar, H. Bergman, A. Arieli, and M. Abeles, Dependence of cortical plasticity on correlated activity of single neurons and behavioral context, Science 257:1412 (1992).
3. R. Cawley and G. H. Hsu, Local-geometric projection method for noise reduction in chaotic maps and flows, Phys. Rev. A 46:3057 (1992).
4. A. Babloyantz and J. M. Salazar, Evidence of chaotic dynamics of brain activity during the sleep cycle, Phys. Lett. 111A(3):152 (1985).
5. A. Celletti and A. E. P. Villa, Low dimensional chaotic attractors in the rat brain, Biol. Cybernet. 74(5):387 (1996).
6. J. P. Eckmann and D. Ruelle, Ergodic theory of chaos and strange attractors, Rev. Mod. Phys. 57:617 (1985).
7. P. Grassberger and I. Procaccia, Estimation of the Kolmogorov entropy from a chaotic signal, Phys. Rev. A 28:2591 (1983).
8. G. J. Mpitsos, R. M. Burton, Jr., H. C. Creech, and S. O. Soinila, Evidence for chaos in spike trains of neurons that generate rhythmic motor patterns, Brain Res. Bull. 21:529 (1988).
9. J. Theiler, S. Eubank, A. Longtin, B. Galdrikian, and J. D. Farmer, Testing for non-linearity in time series: The method of surrogate data, Physica D 58:77 (1992).
10. A. Wolf, J. B. Swift, H. L. Swinney, and J. A. Vastano, Determining Lyapunov exponents from a time series, Physica 16D:285 (1985).
11. E. Vaadia, I. Haalman, M. Abeles, H. Bergman, Y. Prut, H. Slovin, and A. Aertsen, Dynamics of neuronal interactions in monkey cortex in relation to behavioural events, Nature 373:515 (1995).
12. A. E. P. Villa, Physiological differentiation within the auditory part of the thalamic reticular nucleus of the cat, Brain Res. Rev. 15:25-40 (1990).
13. A. E. P. Villa and V. M. Bajo, Synchronous activity in substantia nigra pars reticulata of the albino rat, Experientia 50:A69 (1994).