Three-Dimensional Memristive Hindmarsh–Rose Neuron Model with Hidden Coexisting Asymmetric Behaviors
Since the electrical activities of neurons are closely related to complex electrophysiological environment in neuronal system, a novel three-dimensional memristive Hindmarsh–Rose (HR) neuron model is presented in this paper to describe complex dynamics of neuronal activities with electromagnetic ind...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/3872573 |
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| _version_ | 1832560074815438848 |
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| author | Bocheng Bao Aihuang Hu Han Bao Quan Xu Mo Chen Huagan Wu |
| author_facet | Bocheng Bao Aihuang Hu Han Bao Quan Xu Mo Chen Huagan Wu |
| author_sort | Bocheng Bao |
| collection | DOAJ |
| description | Since the electrical activities of neurons are closely related to complex electrophysiological environment in neuronal system, a novel three-dimensional memristive Hindmarsh–Rose (HR) neuron model is presented in this paper to describe complex dynamics of neuronal activities with electromagnetic induction. The proposed memristive HR neuron model has no equilibrium point but can show hidden dynamical behaviors of coexisting asymmetric attractors, which has not been reported in the previous references for the HR neuron model. Mathematical model based numerical simulations for hidden coexisting asymmetric attractors are performed by bifurcation analyses, phase portraits, attraction basins, and dynamical maps, which just demonstrate the occurrence of complex dynamical behaviors of electrical activities in neuron with electromagnetic induction. Additionally, circuit breadboard based experimental results well confirm the numerical simulations. |
| format | Article |
| id | doaj-art-e63e5e6c73394bb08b46b609da89d8a0 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-e63e5e6c73394bb08b46b609da89d8a02025-02-03T01:28:37ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/38725733872573Three-Dimensional Memristive Hindmarsh–Rose Neuron Model with Hidden Coexisting Asymmetric BehaviorsBocheng Bao0Aihuang Hu1Han Bao2Quan Xu3Mo Chen4Huagan Wu5School of Information Science and Engineering, Changzhou University, Changzhou 213164, ChinaSchool of Information Science and Engineering, Changzhou University, Changzhou 213164, ChinaSchool of Information Science and Engineering, Changzhou University, Changzhou 213164, ChinaSchool of Information Science and Engineering, Changzhou University, Changzhou 213164, ChinaSchool of Information Science and Engineering, Changzhou University, Changzhou 213164, ChinaSchool of Information Science and Engineering, Changzhou University, Changzhou 213164, ChinaSince the electrical activities of neurons are closely related to complex electrophysiological environment in neuronal system, a novel three-dimensional memristive Hindmarsh–Rose (HR) neuron model is presented in this paper to describe complex dynamics of neuronal activities with electromagnetic induction. The proposed memristive HR neuron model has no equilibrium point but can show hidden dynamical behaviors of coexisting asymmetric attractors, which has not been reported in the previous references for the HR neuron model. Mathematical model based numerical simulations for hidden coexisting asymmetric attractors are performed by bifurcation analyses, phase portraits, attraction basins, and dynamical maps, which just demonstrate the occurrence of complex dynamical behaviors of electrical activities in neuron with electromagnetic induction. Additionally, circuit breadboard based experimental results well confirm the numerical simulations.http://dx.doi.org/10.1155/2018/3872573 |
| spellingShingle | Bocheng Bao Aihuang Hu Han Bao Quan Xu Mo Chen Huagan Wu Three-Dimensional Memristive Hindmarsh–Rose Neuron Model with Hidden Coexisting Asymmetric Behaviors Complexity |
| title | Three-Dimensional Memristive Hindmarsh–Rose Neuron Model with Hidden Coexisting Asymmetric Behaviors |
| title_full | Three-Dimensional Memristive Hindmarsh–Rose Neuron Model with Hidden Coexisting Asymmetric Behaviors |
| title_fullStr | Three-Dimensional Memristive Hindmarsh–Rose Neuron Model with Hidden Coexisting Asymmetric Behaviors |
| title_full_unstemmed | Three-Dimensional Memristive Hindmarsh–Rose Neuron Model with Hidden Coexisting Asymmetric Behaviors |
| title_short | Three-Dimensional Memristive Hindmarsh–Rose Neuron Model with Hidden Coexisting Asymmetric Behaviors |
| title_sort | three dimensional memristive hindmarsh rose neuron model with hidden coexisting asymmetric behaviors |
| url | http://dx.doi.org/10.1155/2018/3872573 |
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