Oscillations and Synchronization
Duration: 2 h
Oscillations and synchronization are phenomena ubiquitously recorded in neuronal circuits. They have been implicated in information processing, attention, and motor control. Malfunction of the dynamics underlying oscillations and synchronization are used to explain dynamical pathological conditions such as epilepsy and Parkinson disease.
In this course we will describe basic dynamical mechanisms underlying dynamics of oscillatory neuronal activity and synchronization. We will show that the type of the bifurcations leading to neuronal oscillations in single neurons can predict synchronization regimes in neuronal networks. We will introduce two methods of analysis of synchronization properties: phase response curves and phase oscillators. We will apply these methods to a few problems and examples of synchronization of neuronal networks.
Tutors
Dr. Gennady S. Cymbalyuk
Country: USA.
Place of employment: Dynamical Neuroscience Lab., The Neuroscience Institute, Georgia State University, Georgia, USA.
Spheres of science researches: Central Pattern Generators, genesis and regulation of bursting activity, control of rhythmic movements, leech heart beat, hybrid systems composed of living neurons and mathematical model integrated in real-time, dynamic clamp.
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Dr. Oleksandr Burylko
Country: Ukraine.
Place of employment: Institute of Mathematics, National Academy of Sciences of Ukraine;
Department of Differential equations and oscillation theory at the Institute of Mathematics
Spheres of science researches: oscillation theory, oscillatory neuronal networks, synchronization.
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