Shaping spiking patterns through synaptic parameters as revealed by conventional and wavelet-based bifurcation analysis

Editorial on the special issue on brain physiology meets complex systems

“…Dogonasheva et al. [ 6 ] demonstrate two main objectives: (i) to explore dynamical regimes and transition between them for the system of two synaptically coupled FitzHugh–Nagumo oscillators mimicking the pyramidal and basket cells, and (ii) to propose a method and a workflow for the analysis of transitions between these regimes via the continuous wavelet analysis aimed at overcoming limitations of the conventional bifurcation analysis in the case of dynamical transitions and metastability. It is demonstrated that the usage of the Morlet wavelet as the analyzing function can be considered as a generalization of Andronov’s decomposition over limit cycles and, supplied with a special smoothing procedure, allows for building bifurcation diagrams highlighting the specificity of changes in the spike trains and their spectral composition, including period doubling, chaos, etc.…”

“…Due to the high nonlinearity of oscillators resembling neuronal activity, even their small coupled systems can exhibit a wide variety of nontrivial dynamical regimes. Dogonasheva et al [6] demonstrate two main objectives: (i) to explore dynamical regimes and transition between them for the system of two synaptically coupled FitzHugh-Nagumo oscillators mimicking the pyramidal and basket cells, and (ii) to propose a method and a workflow for the analysis of transitions between these regimes via the continuous wavelet analysis aimed Eur. Phys.…”