Brain Dynamics An Introduction to Models and Simualtions /

• Main Author: Haken, Hermann (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
• Edition: 2.
• Series: Springer Series in Synergetics,
• Subjects: Physics.; Neurosciences.; Artificial intelligence.; Applied mathematics.; Engineering mathematics.; Biophysics.; Biological physics.; Medical physics.; Radiation.; Statistical physics.; Dynamical systems.; Biophysics and Biological Physics.; Medical and Radiation Physics.; Statistical Physics, Dynamical Systems and Complexity.; Applications of Mathematics.; Artificial Intelligence (incl. Robotics).

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 the subject through pulse-coupled neural netw...

Table of Contents:

• Basic Experimental Facts and Theoretical Tools
• The Neuron – Building Block of the Brain
• Neuronal Cooperativity
• Spikes, Phases, Noise: How to Describe Them Mathematically? We Learn a Few Tricks and Some Important Concepts
• Spiking in Neural Nets
• The Lighthouse Model. Two Coupled Neurons
• The Lighthouse Model. Many Coupled Neurons
• Integrate and Fire Models (IFM)
• Many Neurons, General Case, Connection with Integrate and Fire Model
• Pattern Recognition Versus Synchronization: Pattern Recognition
• Pattern Recognition Versus Synchronization: Synchronization and Phase Locking
• Phase Locking, Coordination and Spatio-Temporal Patterns
• Phase Locking via Sinusoidal Couplings
• Pulse-Averaged Equations
• Conclusion
• The Single Neuron
• Conclusion and Outlook
• Solutions to Exercises.