Publications by authors named "L V Smirnov"
We consider the effect of the emergence of chimera states in a system of coexisting stationary and flying-through in potential particles with an internal degree of freedom determined by the phase. All particles tend to an equilibrium state with a small number of potential wells, which leads to the emergence of a stationary chimera. An increase in the number of potential wells leads to the emergence of particles flying-through along the medium, the phases of which form a moving chimera.
View Article and Find Full Text PDFWe study a bifurcation scenario that corresponds to the transition from bursting activity to spiking in a phenomenological model of neuron-astrocyte interaction in neuronal populations. In order to do this, we numerically obtain one-dimensional Poincaré return map and highlight its bifurcation structure using an analytically constructed piecewise smooth model map. This map reveals the existence of a cascade of period-adding bifurcations, leading to a bursting-spiking transition via blue sky catastrophe.
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- The study demonstrates the application of machine learning for classifying topological phases in finite leaky photonic lattices using minimal measurement data.
- The proposed method relies on a single real-space bulk intensity image, avoiding complex phase retrieval techniques.
- A fully connected neural network is designed to identify topological properties from intensity distributions in waveguide arrays after a localized excitation, mimicking realistic experimental conditions.
Article Synopsis
- * The authors transform a complex network of integrate-and-fire neurons into a simplified model (Kuramoto-Sakaguchi), allowing them to analyze how synaptic characteristics influence neuron firing patterns.
- * They identify conditions for synchronous and partially synchronous firing based on synaptic activation rates and delays, and their findings suggest potential for further research on rhythm generation in adaptive neural networks.
We explore large populations of phase oscillators interacting via random coupling functions. Two types of coupling terms, the Kuramoto-Daido coupling and the Winfree coupling, are considered. Under the assumption of statistical independence of the phases and the couplings, we derive reduced averaged equations with effective non-random coupling terms.
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