Traveling chimera patterns in a two-dimensional neuronal network

In-phase and anti-phase bursting dynamics and synchronisation scenario in neural network by varying coupling phase

“…The importance of chimera states and traveling waves were clinically studied and the results were numerically confirmed using FHN and leaky integrateand-fire model [22]. Interesting spatio temporal patterns like chimeras, mutichimeras, alternating chimeras and traveling chimeras are of special interest to the researchers [28][29][30][31]. Cluster formations are considered to be the intermediate stage before attaining complete synchrony [32].…”

Helping networks to get synchronized: Effect of external stimulation

“…Let us begin with the coupled forced Lorenz oscillators. The following equation rules the temporal evolution of two coupled Lorenz units: (9) where σ = 10, ρ = 28, and β = 2 [41]. The term x is the corresponding state in the second Lorenz unit.…”

“…Subsequently, numerous attempts have been made to guarantee chaotic systems' synchronization, even with a parametric mismatch [7], by examination of various coupling configurations [8]. Recent attention has been devoted to the simultaneous existence of synchrony and asynchrony [9,10] or the sudden transitions to the synchronous state [11]. For the research on the synchronizability of chaotic systems, the role of an external common source is of exceptional importance.…”

What Models and Tools can Contribute to a Better Understanding of Brain Activity?

“…Therefore, recent work dealt with interactions of chimera states across coupled layers in multilayer networks (e.g., Majhi et al, 2016;Maksimenko et al, 2016;Andrzejak et al, 2017;Andrzejak et al, 2018;Sawicki et al, 2019;Ruzzene et al, 2020;Vadivasova et al, 2020;Rontogiannis and Provata, 2021;Chen et al, 2022). Moreover, various neuron models were used instead of the simple phase oscillators as network nodes (e.g., Sakaguchi, 2006;Hizanidis et al, 2014;Hizanidis et al, 2016;Santos et al, 2017;Chouzouris et al, 2018;Calim et al, 2020;Gerster et al, 2020;Provata and Venetis, 2020;Glaze and Bahar, 2021;Rontogiannis and Provata, 2021;Simo et al, 2021;Zhang and Dai, 2022). In addition, either experimentally obtained real brain connectivity data (e.g., Hizanidis et al, 2016;Santos et al, 2017;Chouzouris et al, 2018;Bansal et al, 2019;Ramlow et al, 2019;Gerster et al, 2020) or basic neuronal connectivity principles (e.g., Rontogiannis and Provata, 2021;Zhang and Dai, 2022) were used to design mathematical model networks capable to show chimera states.…”