Nonlinear Dynamics and Analysis
Exploration of the properties
of brain-like systems, that are non-linear and support signal propagation
between regions. The phenomena of interest include limit cycles,
mode-locking and dynamical interdependence of time series. Also
statistical methods for detecting, quantifying and characterizing
nonlinearity in EEG.
Related Links:
Key Publications:
- Wavelets
and functional magnetic resonance imaging of the human brain
Bullmore ET,, Fadili J, Maxim V, Xendur L, Whitcher B, Suckling
J, Brammer MJ & Breakspear MJ (in press). NeuroImage,
, - (1993 KB).
- Spatio-temporal
wavelet resampling for functional neuroimaging data
Breakspear M,, Brammer M, Bullmore ET, Das P & Williams
LM (2004). Human
Brain Mapping, 22, - (1442 KB).
- “Dynamic
connectivity”: Theoretical and empirical considerations
Breakspear M, (2004). Neuroinformatics,
, - (1500 KB).
- A
disturbance of nonlinear interdependence in scalp EEG of subjects
with first episode schizophrenia
Breakspear M,, Terry JR, Friston KJ, Williams LM, Brown KJ,
Brennan J & Gordon
E (2003). NeuroImage, 20, 466 - 478 (256 KB).
An
improved algorithm for the detection of dynamical interdependence
in bivariate time-series
Terry JR &, Breakspear M (2003). Biological
Cybernetics, 88, 129 - 136 (160 KB).
- Construction
of multivariate surrogate data for nonlinear data using the
wavelet transform
Breakspear M,, Brammer MJ & Robinson PA (2003). PhysicaD,
182, 1 - 22 (352 KB).
Modulation
of excitatory synaptic coupling facilitates synchronization
and complex dynamics in a nonlinear model of neuronal dynamics
Breakspear M,, Terry JR, Friston KJ (2003). Network:
Computation in Neural Systems, 14, 703 - 32 (816 KB).
- Nonlinear
synchronization in EEG and whole-head MEG recordings of healthy
subjects
Stam CJ,, Breakspear M, van Cappellen van Walsum AM & van
Dijk BW (2003). Human
Brain Mapping, 19, 63 - 78 (147 KB).
- Synchronization
and complex dynamics in neuronal dynamics
Breakspear M,, Terry J & Friston K (2003). Neurocomputing,
52, 151 - 158 (278 KB).
- Synchronous
Gamma activity: a review and contribution to an integrative
neuroscience model of schizophrenia
Lee KH,, Williams LM, Breakspear M, Gordon E (2003). Brain
Research Reviews, 41, 57 - 78 (188 KB).
- Topographic
analysis of phase dynamics in neural systems reveals formation
and dissolution of 'dynamic cell assemblies'
Breakspear M,, Williams LM & Stam CJ (2003). Journal
of Computational Neuroscience, 16, 46 - 68 (370 KB).
- Wavelets
and statistical analysis of functional magnetic resonance images
of the human brain
Bullmore ET,, Fadili J, Breakspear M, Salvador R & Brammer
MJ (2003). Statistical
Methods in Medical Research, 12, 375 - 99 ( KB).
- Detection
and description of nonlinear interdependence in normal multichannel
human EEG
Breakspear M, & Terry J (2002). Clinical Neurophysiology,
113, 735 - 753 (561 KB).
- Nonlinear
interdependence in neural systems: Motivation, theory and relevance
Breakspear M,, Terry JR (2002). International Journal
of Neuroscience, 112, 1263 - 1284 (144 KB).
- Nonlinear
phase desynchronization in human electroencephalographic data
Breakspear M, (2002). Human Brain Mapping,
15, 175 - 198 (651 KB).
- Topographic
organisation of nonlinear interdependence in multichannel human
EEG
Breakspear M,, Terry JR (2002). NeuroImage,
16, 822 - 835 (154 KB).
- Anisotropic
properties of riddled basins
Ashwin P,, Breakspear M (2001). Physics Letters
A, 280, 139 - 145 (210 KB).
- Perception
of odours by a nonlinear model of the olfactory bulb
Breakspear M, (2001). International Journal of Neural
Systems, 11, 101 - 124 (1599 KB).
- Symmetries
and itinerancy in nonlinear systems with many degrees of freedom
Breakspear M, Friston K (2001). Behavioral and Brain
Sciences, 24, - ( KB).
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