Breakspear M, Terry JR, Friston KJ. (2003). Modulation of excitatory synaptic coupling facilitates synchronization and complex dynamics in a biophysical model of neuronal dynamics. Network (Bristol, England). 14 [PubMed]

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References and models cited by this paper

Abarbanel HD, Rulkov NF, Sushchik MM. (1996). Generalized synchronization of chaos: The auxiliary system approach. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics. 53 [PubMed]

Barto AG, Sutton RS. (1990). Time-derivative models of Pavlovian reinforcement Learning and computational neuroscience: Foundations of adaptive networks.

Breakspear M. (2001). Perception of odors by a nonlinear model of the olfactory bulb. International journal of neural systems. 11 [PubMed]

Breakspear M. (2002). Nonlinear phase desynchronization in human electroencephalographic data. Human brain mapping. 15 [PubMed]

Breakspear M, Terry JR. (2002). Nonlinear interdependence in neural systems: motivation, theory, and relevance. The International journal of neuroscience. 112 [PubMed]

Breakspear M, Terry JR. (2002). Topographic organization of nonlinear interdependence in multichannel human EEG. NeuroImage. 16 [PubMed]

Breakspear M, Terry JR. (2002). Detection and description of non-linear interdependence in normal multichannel human EEG data. Clinical neurophysiology : official journal of the International Federation of Clinical Neurophysiology. 113 [PubMed]

Burke RE, Schiff SJ, Sauer T, So P, Chang T. (1996). Detecting dynamical interdependence and generalized synchrony through mutual prediction in a neural ensemble. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 54

Destexhe A, Rudolph M, Fellous JM, Sejnowski TJ. (2001). Fluctuating synaptic conductances recreate in vivo-like activity in neocortical neurons. Neuroscience. 107 [PubMed]

Douglas RJ. (1996). Microarchitecture of neocortical columns Brain Theory--Biological Basis and Computational Principles.

Eckhorn R et al. (1988). Coherent oscillations: a mechanism of feature linking in the visual cortex? Multiple electrode and correlation analyses in the cat. Biological cybernetics. 60 [PubMed]

Edelman GM. (1993). Neural Darwinism: selection and reentrant signaling in higher brain function. Neuron. 10 [PubMed]

Engel AK, Kreiter AK, König P, Singer W. (1991). Synchronization of oscillatory neuronal responses between striate and extrastriate visual cortical areas of the cat. Proceedings of the National Academy of Sciences of the United States of America. 88 [PubMed]

Friston KJ. (2000). The labile brain. II. Transients, complexity and selection. Philosophical transactions of the Royal Society of London. Series B, Biological sciences. 355 [PubMed]

Friston KJ. (2000). The labile brain. I. Neuronal transients and nonlinear coupling. Philosophical transactions of the Royal Society of London. Series B, Biological sciences. 355 [PubMed]

Gatlin L. (1972). Information Theory And The Living System.

Grassberger P, Pikovsky A. (1991). Symmetry breaking bifurcation for coupled chaotic attractors J Phys A. 24

Gray CM, König P, Engel AK, Singer W. (1989). Oscillatory responses in cat visual cortex exhibit inter-columnar synchronization which reflects global stimulus properties. Nature. 338 [PubMed]

Gray CM, Singer W. (1989). Stimulus-specific neuronal oscillations in orientation columns of cat visual cortex. Proceedings of the National Academy of Sciences of the United States of America. 86 [PubMed]

Haig AR, Gordon E, Wright JJ, Meares RA, Bahramali H. (2000). Synchronous cortical gamma-band activity in task-relevant cognition. Neuroreport. 11 [PubMed]

Hansel D, Sompolinsky H. (1992). Synchronization and computation in a chaotic neural network. Physical review letters. 68 [PubMed]

Hansel D, Sompolinsky H. (1996). Chaos and synchrony in a model of a hypercolumn in visual cortex. Journal of computational neuroscience. 3 [PubMed]

Josic K. (1998). Invariant manifolds and synchronization of coupled dynamical systems Phys Rev Lett. 80

Kandel ER, Jessell TM, Schwartz JH. (2000). Principles of neural science (4th ed).

Kaneko K. (1998). On the strength of attractors in a high-dimensional system Physica D. 124

Kocarev L, Parlitz U, Brown R. (2000). Robust synchronization of chaotic systems. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics. 61 [PubMed]

Kopell N, Somers D. (1995). Waves and synchrony in networks of oscillators of relaxation and non-relaxation type. Physica D. 89

Kurths J, Pikovsky A, Rosenblum M. (1997). From phase to lag synchronization in coupled chaotic oscillators Phys Rev Lett. 78

Larter R, Speelman B, Worth RM. (1999). A coupled ordinary differential equation lattice model for the simulation of epileptic seizures. Chaos (Woodbury, N.Y.). 9 [PubMed]

Lumer ED, Edelman GM, Tononi G. (1997). Neural dynamics in a model of the thalamocortical system. I. Layers, loops and the emergence of fast synchronous rhythms. Cerebral cortex (New York, N.Y. : 1991). 7 [PubMed]

Lumer ED, Edelman GM, Tononi G. (1997). Neural dynamics in a model of the thalamocortical system. II. The role of neural synchrony tested through perturbations of spike timing. Cerebral cortex (New York, N.Y. : 1991). 7 [PubMed]

Magleby K. (1987). Short-term modulation at synapses Synaptic Function.

Maistrenko Y, Maistrenko V, Popovich A, Mosekilde E. (1998). Transverse instability and riddled basins in a system of two coupled logistic maps Phys Rev E. 57

Morris C, Lecar H. (1981). Voltage oscillations in the barnacle giant muscle fiber. Biophysical journal. 35 [PubMed]

Mountcastle V. (1998). The cerebral cortex.

Mountcastle VB. (1997). The columnar organization of the neocortex. Brain : a journal of neurology. 120 ( Pt 4) [PubMed]

Nunez P. (1995). Neocortical dynamics and human EEG rhythms.

Ott E, Sommerer J. (1994). Blowout bifurcations: the occurrence of riddled basins and on-off intermittency Phys Lett A. 188

Pecora L, Heagy J, Carroll T. (1998). Desynchronization by periodic orbits Phys Rev E. 57

Pecora LM, Carroll TL. (1990). Synchronization in chaotic systems. Physical review letters. 64 [PubMed]

Pikovskyas OSIPOVGV, Rosenblummgandkurths J. (1997). Phase synchronization effects in a lattice of nonidentical Rossler oscillators Phys Rev E. 55

Rabinovich MI, Afraimovich VS, Verichev NN. (1986). Stochastic synchronization of oscillations in dissipative systems. Sov Radiophys. 29

Rao RP, Ballard DH. (1999). Predictive coding in the visual cortex: a functional interpretation of some extra-classical receptive-field effects. Nature neuroscience. 2 [PubMed]

Rodriguez E et al. (1999). Perception's shadow: long-distance synchronization of human brain activity. Nature. 397 [PubMed]

Rosenblum MG, Pikovsky AS, Kurths J. (1996). Phase synchronization of chaotic oscillators. Physical review letters. 76 [PubMed]

Rosenblum MG, Zaks MA, Parks EH, Kurths J . (1999). Alternative locking ratios in imperfect phase synchronization Phys Rev Lett. 82

Rulkov N, Sushchik M. (1997). Robustness of synchronized chaotic oscillations Int J Bifurc Chaos. 7

Rulkov N, Sushchik M, Abarbanel H, Tsimring L. (1995). Generalized synchronization of chaos in unidirectionally coupled chaotic systems Phys Rev E. 51

Schnitzler A et al. (1998). Detection of n:m phase locking from noisy data: Application to magnetoencephalography Phys Rev Lett. 81

Silberstein RB. (1995). Neuromodulations of neocortical dynamics Neocortical Dynamics and Human EEG Rhythms.

Singer W. (1995). Putative functions of temporal correlations in neocortical processing Large-scale Neuronal Theories Of The Brain.

Szentágothai J. (1983). The modular architectonic principle of neural centers. Reviews of physiology, biochemistry and pharmacology. 98 [PubMed]

Tallon-Baudry C, Bertrand O, Fischer C. (2001). Oscillatory synchrony between human extrastriate areas during visual short-term memory maintenance. The Journal of neuroscience : the official journal of the Society for Neuroscience. 21 [PubMed]

Tass PA. (2002). Desynchronization of brain rhythms with soft phase-resetting techniques. Biological cybernetics. 87 [PubMed]

Terman D, Wang DL. (1995). Global competition and local cooperation in a network of neural oscillators Physica D. 81

Terry JR, Breakspear M. (2003). An improved algorithm for the detection of dynamical interdependence in bivariate time-series. Biological cybernetics. 88 [PubMed]

Tononi G, Friston KJ, Sporns O, Edleman G. (1995). Characterising the complexity of neuronal interactions Human Brain Mapp. 3

Tononi G, Sporns O, Edelman GM. (1994). A measure for brain complexity: relating functional segregation and integration in the nervous system. Proceedings of the National Academy of Sciences of the United States of America. 91 [PubMed]

Ueda Y, Nakajima H. (1996). Riddled basins of the optimal states in learning dynamical systems Riddled Basins Of The Optimal States In Learning Dynamical Systems Physica D. 99

Wang X. (1991). Period-doublings to chaos in a simple neural network: an analytic proof An Analytic Proof Complex Syst. 5

Wennekers T, Pasemann F. (1996). Synchronous chaos in high dimensional modular neural networks J Bifurc Chaos. 6

Wright JJ, Robinson PA, Rennie CJ. (1998). Synchronous oscillations in the cerebral cortex Phys Rev E. 57

Yamada T, Fujisaka H. (1983). Stability theory of synchronized motion in coupled-oscillator system Prog Theor Phys. 69

Yorke J, Ott E, Hunt B. (1997). Differentiable synchronization of chaos Phys Rev E. 55

Zhao L, Macau EN. (2001). A network of dynamically coupled chaotic maps for scene segmentation. IEEE transactions on neural networks. 12 [PubMed]

von der Malsburg C, Bunsenges B. (1985). Nervous structures with dynamical links Phys Chem. 89

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