ArticleCognitive neurodynamics2021
Complex bifurcation analysis and synchronization optimal control for Hindmarsh-Rose neuron model under magnetic flow effect.
Article in Cognitive neurodynamics, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 13 papers.
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13 citing papers in PubMed, 74 citations in OpenAlex.
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- Three-dimensional memristive Morris-Lecar model with magnetic induction effects and its FPGA implementation.Cognitive neurodynamics · 2023Article
- Memristive competitive hopfield neural network for image segmentation application.Cognitive neurodynamics · 2023Article
- Extreme multistability and phase synchronization in a heterogeneous bi-neuron Rulkov network with memristive electromagnetic induction.Cognitive neurodynamics · 2023Article
- Turing instability mechanism of short-memory formation in multilayer FitzHugh-Nagumo network.Frontiers in psychiatry · 2023Article
- Control of noise-induced coherent oscillations in three-neuron motifs.Cognitive neurodynamics · 2022Article
- Hamiltonian energy and coexistence of hidden firing patterns from bidirectional coupling between two different neurons.Cognitive neurodynamics · 2022Article
- Dynamics of a Large-Scale Spiking Neural Network with Quadratic Integrate-and-Fire Neurons.Neural plasticity · 2021Article
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5 authors at 3 institutions in 1 country.
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Abstract
In this contribution, the complex behaviour of the Hindmarsh-Rose neuron model under magnetic flow effect (mHR) is investigated in terms of bifurcation diagrams, Lyapunov exponent plots and time series when varying only the electromagnetic induction strength. Some exciting phenomena are found including, for instance, various firings patterns by applying appropriate magnetic strength and Hopf-fold bursting through fast-slow bifurcation. In addition to this, the interesting phenomenon of Hopf bifurcation is examined in the model. Thus, we prove that Hopf bifurcation occurs in this memristor-based HR neuron model when an appropriately chosen magnetic flux varies and reaches its critical value. Furthermore, one of the main results of this work was the optimal control approach to realize the synchronization of two mHR. The main advantage of the proposed optimal master-slave synchronization from a control point of view is that, in the practical application, the electrical activities (quiescent, bursting, spiking, period and chaos states) of a neuron can be regulated by a pacemaker (master) associated with biological neuron (slave) to treat some diseases such as epilepsy. A suitable electronic circuit is designed and used for the investigations. PSpice based simulation results confirm that the electrical activities and synchronization between coupled neurons can be modulated by electromagnetic flux.
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