2026-10-14T03:25:41Z https://api.figshare.com/v2/oai

oai:figshare.com:article/33832000 2026-09-16T07:52:42Z portal_1197 item_type_3 month_year_09_2026

Data for Asymmetry of synchronisation tongue in persistent sodium plus potassium neuron model I. A. Khovanov (17196715) S Perry (13308345) N. A. Khovanova (24786595) Synchronization Respiration -- Regulation Respiration -- Simulation methods Neurons Bifurcation theory Migrated from ePrints In recent experimental studies, cardio-respiratory synchronisation was observed when the respiration rate was higher than the resting heart rate. Under this condition, there is a strong asymmetry in the synchronisation tongue towards frequencies higher than that of an unperturbed self-oscillator. These experimental results are compelling because they support a novel hypothesis about the interaction of cardiac and respiratory centres in the brain. This hypothesis, however, required further validation; we aimed to observe the key experimental features in related dynamical models. A number of simple self-oscillatory systems under an external driving force have been considered in this work, and a persistent sodium plus potassium neuron model was found to display the strong asymmetry, which is the key feature of the experimental observations. Bifurcations and other changes in the model’s state space were considered by varying the amplitude and frequency of the external force. It was shown that the strong asymmetry in the synchronisation tongue is linked to a non-uniformity of the surface of the non-synchronous invariant torus, and, within a certain range of parameters, to the additional saddle–node bifurcations of cycles. Then, it was demonstrated that the torus non-uniformity leads to changes in the shape of the phase difference potential as the amplitude increases. To illustrate the latter effect, a numerical approach for estimating the one dimensional phase difference profile and providing the corresponding explicit analytical expression is developed. Also, a discrepancy in synchronisation boundaries obtained by two different approaches, one based on bifurcational analysis and the other on a time series technique, was observed. The latter observation stresses the necessity of considering the standard deviation of instantaneous frequency alongside the mean value for the non-ambiguous identification of synchronisation in periodically driven systems.<br><br>Dataset consists of a set of folders for figures shown in the paper. Data are included in ASCII format. Each folder contains file "comment.txt" with relevant to each figure information. 2021-11-05T00:00:00Z Dataset Dataset 10.82444/warw.33832000.v1 https://figshare.com/articles/dataset/Data_for_Asymmetry_of_synchronisation_tongue_in_persistent_sodium_plus_potassium_neuron_model/33832000 CC BY 4.0