Informal Seminar
You have a new invitation for the Informal Seminar on February 3, 2016!

February 3, 2016

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Aix-Marseille Université, France

Wednesday, 3 February 2016

 

14:00 hours

 

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BCF Library (first floor)
Bernstein Center Freiburg
Hansastraße 9a
79104 Freiburg

 

Hosted by Robert Schmidt

Stable chaos in fluctuation driven neural circuits

Here I discuss the dynamical stability of pulse coupled networks of leaky integrate-and-fire neurons against infinitesimal and finite perturbations. In particular, I will compare mean versus fluctuations driven networks, the former (latter) is realized by considering purely excitatory (inhibitory) sparse neural circuits. In the excitatory case the instabilities of the system can be completely captured by an usual linear stability (Lyapunov) analysis, whereas the inhibitory networks can display the coexistence of linear and nonlinear instabilities. The nonlinear effects are associated to finite amplitude instabilities, which have been characterized in terms of suitable indicators. For inhibitory coupling one observes a transition from chaotic to non chaotic dynamics by decreasing the pulse-width.

For sufficiently fast synapses the system, despite showing an erratic evolution, is linearly stable, thus representing a prototypical example of Stable Chaos.

 

The talk is open to the public. Guests are cordially invited!

 


            

BERNSTEIN CENTER FREIBURG
Hansastraße 9a
79104 Freiburg im Breisgau