| Name |
Johanne Hizanidis |
| Country |
Greece |
| Email |
ioanna@chem.demokritos.gr |
| Co-Author(s) |
V. G. Kanas, A. Bezerianos, T. Bountis, A. V\{"u}llings, I. Omelchenko, P. H\{"o}vel |
| Submit Time |
2014-02-28 11:38:13 |
Session |
Special Session 13: Nonlocally coupled dynamical systems: Analysis and applications
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| Contents |
| Chimera states is a peculiar phenomenon of coexisting coherent and incoherent behaviour discovered in networks of nonlocally coupled identical phase oscillators over ten years ago. Since then, chimeras were found to occur in a variety of theoretical and experimental studies. In this work, we are interested in the existence of chimera states in systems modelling neuron excitability and dynamical behaviour. First, we consider a generic model for a saddle-node bifurcation on a limit cycle representative for neuron excitability type I. We obtain multichimera states depending on the distance from the excitability threshold and the range of nonlocal coupling. A detailed study of the effect of all dynamical parameters on the stability of the chimera states is presented. Next, we consider a system of nonlocally coupled Hindmarsh-Rose oscillators which is a prototype system for type-I and type-II neuron excitablity that can reproduce many dynamical features of real neurons. We find various interesting synchronization patterns including chimera states in both spiking and bursting regimes. The system is investigated for various coupling schemes including electrical and chemical coupling. |
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