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Brain Dynamics : An Introduction to Models and Simulations Book

Brain Dynamics : An Introduction to Models and Simulations
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  • Brain Dynamics : An Introduction to Models and Simulations
  • Written by author Hermann Haken
  • Published by Springer-Verlag New York, LLC, February 2008
  • Brain Dynamics serves to introduce graduate students and nonspecialists from various backgrounds to the field of mathematical and computational neurosciences. Some of the advanced chapters will also be of interest to the specialists. The book approaches t
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Pt. IBasic experimental facts and theoretical tools
1Introduction3
2The neuron - building block of of the brain9
3Neuronal cooperativity17
4Spikes, phases, noise : how to describe them mathematically? : we learn a few tricks and some important concepts37
Pt. IISpiking in neural nets
5The light house model : two coupled neurons77
6The lighthouse model : many coupled neurons103
7Integrate and fire models (IFM)141
8Many neurons, general case, connection with integrate and fire model151
App. 1 to chap. 8 : evaluation of (8.35)173
App. 2 to chap. 8 : fractal derivatives177
9Pattern recognition versus synchronization : pattern recognition181
10Pattern recognition versus synchronization : synchronization and phase locking207
Pt. IIIPhase locking, coordination and spatio-temporal patterns
11Phase locking via sinusoidal couplings239
12Pulse-averaged equations251
Pt. IVConclusion
13The single neuron273
14Conclusion and outlook283
15Solutions to exercises287
References317
Index329


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