References and models cited by this paper

References and models that cite this paper

Abarbanel HD, Rulkov NF, Sushchik MM (1996) Generalized synchronization of chaos: The auxiliary system approach. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 53:4528-4535 [PubMed]

Afraimovich VS, Verichev NN, Rabinovich MI (1986) Stochastic synchronization of oscillations in dissipative systems. Sov Radiophys 29:795-800

Breakspear M (2001) Perception of odors by a nonlinear model of the olfactory bulb. Int J Neural Syst 11:101-24 [Journal] [PubMed]

Breakspear M (2002) Nonlinear phase desynchronization in human electroencephalographic data. Hum Brain Mapp 15:175-98 [PubMed]

Breakspear M, Terry JR (2002) Nonlinear interdependence in neural systems: motivation, theory, and relevance. Int J Neurosci 112:1263-84 [PubMed]

Breakspear M, Terry JR (2002) Topographic organization of nonlinear interdependence in multichannel human EEG. Neuroimage 16:822-35 [PubMed]

Breakspear M, Terry JR (2002) Detection and description of non-linear interdependence in normal multichannel human EEG data. Clin Neurophysiol 113:735-53 [PubMed]

Destexhe A, Rudolph M, Fellous JM, Sejnowski TJ (2001) Fluctuating synaptic conductances recreate in vivo-like activity in neocortical neurons. Neuroscience 107:13-24 [PubMed]

Douglas RJ (1996) Microarchitecture of neocortical columns Brain Theory--Biological Basis and Computational Principles, Aertsen A:Braitenberg V, ed.

Eckhorn R, Bauer R, Jordan W, Brosch M, Kruse W, Munk M, Reitboeck HJ (1988) Coherent oscillations: a mechanism of feature linking in the visual cortex? Multiple electrode and correlation analyses in the cat. Biol Cybern 60:121-30 [PubMed]

Edelman GM (1993) Neural Darwinism: selection and reentrant signaling in higher brain function. Neuron 10:115-25 [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. Proc Natl Acad Sci U S A 88:6048-52 [PubMed]

Friston KJ (2000) The labile brain. II. Transients, complexity and selection. Philos Trans R Soc Lond B Biol Sci 355:237-52 [Journal] [PubMed]

Friston KJ (2000) The labile brain. I. Neuronal transients and nonlinear coupling. Philos Trans R Soc Lond B Biol Sci 355:215-36 [Journal] [PubMed]

Friston KJ, Tononi G, Sporns O, Edleman G (1995) Characterising the complexity of neuronal interactions Human Brain Mapp 3:302-314

Fujisaka H, Yamada T (1983) Stability theory of synchronized motion in coupled-oscillator system Prog Theor Phys 69:32-47

Gatlin L (1972) Information Theory And The Living System

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 338:334-7 [Journal] [PubMed]

Gray CM, Singer W (1989) Stimulus-specific neuronal oscillations in orientation columns of cat visual cortex. Proc Natl Acad Sci U S A 86:1698-702 [PubMed]

Haig AR, Gordon E, Wright JJ, Meares RA, Bahramali H (2000) Synchronous cortical gamma-band activity in task-relevant cognition. Neuroreport 11:669-75 [PubMed]

Hansel D, Sompolinsky H (1992) Synchronization and computation in a chaotic neural network. Phys Rev Lett 68:718-721 [Journal] [PubMed]

Hansel D, Sompolinsky H (1996) Chaos and synchrony in a model of a hypercolumn in visual cortex. J Comput Neurosci 3:7-34 [PubMed]

Heagy J, Carroll T, Pecora L (1998) Desynchronization by periodic orbits Phys Rev E 57:1253-6

Hunt B, Ott E, Yorke J (1997) Differentiable synchronization of chaos Phys Rev E 55:4029-34

Josic K (1998) Invariant manifolds and synchronization of coupled dynamical systems Phys Rev Lett 80:3053-6

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

Kaneko K (1998) On the strength of attractors in a high-dimensional system Physica D 124:322-44

Kocarev L, Parlitz U, Brown R (2000) Robust synchronization of chaotic systems. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 61:3716-20 [PubMed]

Larter R, Speelman B, Worth RM (1999) A coupled ordinary differential equation lattice model for the simulation of epileptic seizures. Chaos 9:795-804 [Journal] [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. Cereb Cortex 7:207-27 [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. Cereb Cortex 7:228-36 [PubMed]

Magleby K (1987) Short-term modulation at synapses Synaptic Function, Edelman GM:Gall WE:Cowan Wm, ed.

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 57:2713-2724

Morris C, Lecar H (1981) Voltage oscillations in the barnacle giant muscle fiber. Biophys J 35:193-213 [Journal] [PubMed]

Mountcastle V (1998) The cerebral cortex

Mountcastle VB (1997) The columnar organization of the neocortex. Brain 120 ( Pt 4):701-22 [PubMed]

Nakajima H, Ueda Y (1996) Riddled basins of the optimal states in learning dynamical systems Riddled Basins Of The Optimal States In Learning Dynamical Systems Physica D 99:35-44

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 188:39-47

Pecora LM, Carroll TL (1990) Synchronization in chaotic systems. Phys Rev Lett 64:821-824 [Journal] [PubMed]

Pikovsky A, Grassberger P (1991) Symmetry breaking bifurcation for coupled chaotic attractors J Phys A 24:4587-4597

Pikovskyas OSIPOVGV, Rosenblummgandkurths J (1997) Phase synchronization effects in a lattice of nonidentical Rossler oscillators Phys Rev E 55:2353-61

Rao RP, Ballard DH (1999) Predictive coding in the visual cortex: a functional interpretation of some extra-classical receptive-field effects. Nat Neurosci 2:79-87 [Journal] [PubMed]

Robinson PA, Wright JJ, Rennie CJ (1998) Synchronous oscillations in the cerebral cortex Phys Rev E 57:4578-4588

Rodriguez E, George N, Lachaux JP, Martinerie J, Renault B, Varela FJ (1999) Perception's shadow: long-distance synchronization of human brain activity. Nature 397:430-3 [Journal] [PubMed]

Rosenblum M, Pikovsky A, Kurths J (1997) From phase to lag synchronization in coupled chaotic oscillators Phys Rev Lett 78:4193-6

Rosenblum MG, Pikovsky AS, Kurths J (1996) Phase synchronization of chaotic oscillators. Phys Rev Lett 76:1804-1807 [Journal] [PubMed]

Rulkov N, Sushchik M (1997) Robustness of synchronized chaotic oscillations Int J Bifurc Chaos 7:625-643

Rulkov N, Sushchik M, Tsimring L, Abarbanel H (1995) Generalized synchronization of chaos in unidirectionally coupled chaotic systems Phys Rev E 51:980-94

Schiff SJ, So P, Chang T, Burke RE, Sauer 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 54:6708-6724

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

Singer W (1995) Putative functions of temporal correlations in neocortical processing Large-scale Neuronal Theories Of The Brain, Koch C:Davis J, ed.

Somers D, Kopell N (1995) Waves and synchrony in networks of oscillators of relaxation and non-relaxation type. Physica D 89:169-183

Sutton RS, Barto AG (1990) Time-derivative models of Pavlovian reinforcement Learning and computational neuroscience: Foundations of adaptive networks, Gabriel M:Moore J, ed. pp.497

Szentágothai J (1983) The modular architectonic principle of neural centers. Rev Physiol Biochem Pharmacol 98:11-61 [PubMed]

Tallon-Baudry C, Bertrand O, Fischer C (2001) Oscillatory synchrony between human extrastriate areas during visual short-term memory maintenance. J Neurosci 21:RC177 [PubMed]

Tass P, Rosenblum M, Weule J, Kurths J, Pikovsky A, Volkmann J, Schnitzler A, Freund H (1998) Detection of n:m phase locking from noisy data: Application to magnetoencephalography Phys Rev Lett 81:3291-3294

Tass PA (2002) Desynchronization of brain rhythms with soft phase-resetting techniques. Biol Cybern 87:102-15 [Journal] [PubMed]

Terman D, Wang DL (1995) Global competition and local cooperation in a network of neural oscillators Physica D 81:148-176

Terry JR, Breakspear M (2003) An improved algorithm for the detection of dynamical interdependence in bivariate time-series. Biol Cybern 88:129-36 [Journal] [PubMed]

Tononi G, Sporns O, Edelman GM (1994) A measure for brain complexity: relating functional segregation and integration in the nervous system. Proc Natl Acad Sci U S A 91:5033-7 [PubMed]

von der Malsburg C, Bunsenges B (1985) Nervous structures with dynamical links Phys Chem 89:703-710

Wang X (1991) Period-doublings to chaos in a simple neural network: an analytic proof An Analytic Proof Complex Syst 5:425-41

Wennekers T, Pasemann F (1996) Synchronous chaos in high dimensional modular neural networks J Bifurc Chaos 6:2055-67

Zaks MA, Parks EH, Rosenblum MG, Kurths J (1999) Alternative locking ratios in imperfect phase synchronization Phys Rev Lett 82:4228-31

Zhao L, Macau EN (2001) A network of dynamically coupled chaotic maps for scene segmentation. IEEE Trans Neural Netw 12:1375-85 [Journal] [PubMed]

Breakspear M, Williams LM, Stam CJ (2004) A novel method for the topographic analysis of neural activity reveals formation and dissolution of 'Dynamic Cell Assemblies'. J Comput Neurosci 16:49-68 [PubMed]

Heitmann S, Breakspear M (2018) Chapter 1 Handbook for the Brain Dynamics Toolbox: Version 2018a :1-88 [Journal]