https://doi.org/10.1140/epjs/s11734-025-01646-4
Regular Article
Dynamic effects of discrete hyperchaotic map-simulated noise in a non-autonomous memristive HR model
1
College of Information and Communication Engineering, Harbin Engineering University, 150001, Harbin, Heilongjiang Province, China
2
The Key Laboratory of Advanced Marine Communication and Information Technology, Harbin Engineering University, Ministry of Industry and Information Technology, 15001, Harbin, Heilongjiang Province, China
3
The National Key Laboratory of Underwater Acoustic Technology, Harbin Engineering University, 15001, Harbin, Heilongjiang Province, China
Received:
7
February
2025
Accepted:
23
April
2025
Published online:
10
May
2025
In a complex electrophysiological environment, a single neuron is influenced by multiple factors. This study proposes a four-dimensional neuronal model by coupling a memristor as an autapse with the Hindmarsh–Rose neuron, incorporating noise simulated by a discrete hyperchaotic map and external synaptic currents. The equilibrium points and system stability of the model are analyzed, revealing multiple equilibrium types. The results show that memristors and synaptic currents can induce diverse firing patterns, while different intensities of the discrete sequence significantly affect the neuron’s firing patterns, including state transitions, firing mode changes, and amplitude control phenomena. Moreover, under certain conditions, the system exhibits phenomena similar to stochastic resonance. The dynamic behavior of the model is experimentally validated using digital signal processor. The findings help in understanding neuronal dynamics and the role of noise in regulating neuronal firing activities and state transitions.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
