ArticleCognitive neurodynamics2022
Hamiltonian energy and coexistence of hidden firing patterns from bidirectional coupling between two different neurons.
Article in Cognitive neurodynamics, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 10 papers.
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10 citing papers in PubMed.
- Dynamical and Stochastic Analysis of a Piezoelectric Neuron Model for Intelligent Sensing Applications.Sensors (Basel, Switzerland) · 2026Article
- New insights into multistability and complex resonances driven by subthreshold periodic signals in a neuronal model.Cognitive neurodynamics · 2025Article
- A cubic-quadratic phenomenological model explains the spiking, chaotic and bursting behaviors of neuron.Scientific reports · 2025Article
- Wave propagation in a light-temperature neural network under adaptive local energy balance.Journal of biological physics · 2024Article
- Energy and synchronization between two neurons with nonlinear coupling.Cognitive neurodynamics · 2024Article
- Memristor-coupled dual-neuron mapping model: initials-induced coexisting firing patterns and synchronization activities.Cognitive neurodynamics · 2024Article
- Three-dimensional memristive Morris-Lecar model with magnetic induction effects and its FPGA implementation.Cognitive neurodynamics · 2023Article
- Extreme multistability and phase synchronization in a heterogeneous bi-neuron Rulkov network with memristive electromagnetic induction.Cognitive neurodynamics · 2023Article
- Topology identification and dynamical pattern recognition for Hindmarsh-Rose neuron model via deterministic learning.Cognitive neurodynamics · 2023Article
- Chaotic systems with variable indexs for image encryption application.Scientific reports · 2022Article
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8 authors.
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Abstract
In this paper, bidirectional-coupled neurons through an asymmetric electrical synapse are investigated. These coupled neurons involve 2D Hindmarsh-Rose (HR) and 2D FitzHugh-Nagumo (FN) neurons. The equilibria of the coupled neurons model are investigated, and their stabilities have revealed that, for some values of the electrical synaptic weight, the model under consideration can display either self-excited or hidden firing patterns. In addition, the hidden coexistence of chaotic bursting with periodic spiking, chaotic spiking with period spiking, chaotic bursting with a resting pattern, and the coexistence of chaotic spiking with a resting pattern are also found for some sets of electrical synaptic coupling. For all the investigated phenomena, the Hamiltonian energy of the model is computed. It enables the estimation of the amount of energy released during the transition between the various electrical activities. Pspice simulations are carried out based on the analog circuit of the coupled neurons to support our numerical results. Finally, an STM32F407ZE microcontroller development board is exploited for the digital implementation of the proposed coupled neurons model.
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