2018/07/31 by N. D. Tsigkri-DeSmedt, Ioannis Koulierakis, I. Koulierakis +7
Computer Science · Neuroscience · Physics and Astronomy · #Adaptation and Self-Organizing Systems (nlin.AO) #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Neural Networks Stability and Synchronization #Neural dynamics and brain function #Nonlinear Dynamics and Pattern Formation #Pattern Formation and Solitons (nlin.PS) #cond-mat.dis-nn #nlin.AO #nlin.PS
paper · pdf · doi:10.48550/arxiv.1807.11843
13 pages, 16 figures
openalex publication_date 2018/07/31 · arxiv created 2018/10/13 · arxiv updated 2018/10/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The effects of nonlocal and reflecting connectivities have been previously investigated in coupled Leaky Integrate-and-Fire (LIF) elements, which assimilate the exchange of electrical signals between neurons. In this work we investigate the effect of diagonal coupling inspired by findings in brain neuron connectivity. Multi-chimera states are reported both for the simple diagonal and combined nonlocal-diagonal connectivities and we determine the range of optimal parameter regions where chimera states appear. Overall, the measures of coherence indicate that as the coupling range increases (below all-to-all coupling) the emergence of chimera states is favoured and the mean phase velocity deviations between coherent and incoherent regions become more prominent. A number of novel synchronization phenomena are induced as a result of the combined connectivity. We record that for coupling strengths σ< 1 the synchronous regions have mean phase velocities lower than the asynchronous, while the opposite holds for σ> 1. In the intermediate regime, σ∼ 1, the oscillators have common mean phase velocity (i.e., are frequency-locked) but different phases (i.e., they are phase-asynchronous). Solitary states are recorded for small values of the coupling strength, which grow into chimera states as the coupling strength increases.We determine parameter values where the combined effects of nonlocal-diagonal coupling generate chimera states with two different levels of synchronous domains mediated by asynchronous regions.