Chimera states in systems of coupled nonlinear oscillators

Chimera states in systems of coupled nonlinear oscillators

Dr Astero Provata

Chimera states are characterised by coexistence of synchronous and asynchronous domains in systems of coupled nonlinear oscillators [1-2]. They find applications in systems where the oscillators are mainly coupled via nonlocal coupling, but in the recent literature cases are reported where global or local coupling may support chimera states under certain conditions [3-4]. The multiplicity and pattern of the chimera states depend on the system parameters, such as the coupling strength, the coupling range and the form and modularity of the connectivity matrix [5-6].

In this presentation Dr Provata will use the Leaky Integrate-and-Fire (LIF) model  as a working example of nonlinear oscillators linked in 1, 2 and 3 spatial dimensions [7-8]. Dr Provata will present numerical evidence that the chimera multiplicity changes inversely with the coupling range, while there is an inversion of coherence for high values of the coupling strength. Applications of the chimera states in the domain of neuron oscillators in the brain will be discussed.

Sources

[1] Y. Kuramoto and D. Battogtokh, Nonlinear Phenomena in Complex Systems 5, 380 (2002).
[2] D. M. Abrams and S. H. Strogatz, Physical Review Letters 93, 174102 (2004).
[3]  E. Schoell, European Physical Journal Special Topics 225, 891 (2016).
[4] O. Omel’chenko, Nonlinearity 31 (2018) R121.
[5] N. D. Tsigkri-DeSmedt, J. Hizanidis, E. Schoell, P. Hoevel, and A. Provata, European Physical Journal B 90, 139 (2017).
[6] J. Hizanidis, N. E. Kouvaris, G. Zamora-López, A. Díaz-Guilera and C. G. Antonopoulos, Scientific Reports, 6, 19845 (2016).
[7] T. Kasimatis, J. Hizanidis, and A. Provata, Physical Review E 97, 052213 (2018).
[8] G. Argyropoulos, T. Kasimatis and A. Provata, Physical Review E 99, 022208 (2019).

Speaker

Dr Astero Provata is a Research Director at the National Centre for Scientific Research "Demokritos" in Greece.