A multi-base harmonic balance method applied to Hodgkin-Huxley model
Our aim is to propose a new robust and manageable technique, called multi-base harmonic balance method, to detect and characterize the periodic solutions of a nonlinear dynamical system. Our case test is the Hodgkin-Huxley model, one of the most realistic neuronal models in literature. This system,...
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| Format: | Article |
| Language: | English |
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AIMS Press
2018-05-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2018036 |
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| author | Aymen Balti Valentina Lanza Moulay Aziz-Alaoui |
| author_facet | Aymen Balti Valentina Lanza Moulay Aziz-Alaoui |
| author_sort | Aymen Balti |
| collection | DOAJ |
| description | Our aim is to propose a new robust and manageable technique, called multi-base harmonic balance method, to detect and characterize the periodic solutions of a nonlinear dynamical system. Our case test is the Hodgkin-Huxley model, one of the most realistic neuronal models in literature. This system, depending on the value of the external stimuli current, exhibits periodic solutions, both stable and unstable. |
| format | Article |
| id | doaj-art-a3cecd8d923b447c9a61e285ae7f4b06 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2018-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-a3cecd8d923b447c9a61e285ae7f4b062025-01-24T02:40:51ZengAIMS PressMathematical Biosciences and Engineering1551-00182018-05-0115380782510.3934/mbe.2018036A multi-base harmonic balance method applied to Hodgkin-Huxley modelAymen Balti0Valentina Lanza1Moulay Aziz-Alaoui2Normandie Univ, UNIHAVRE, LMAH, FR-CNRS-3335, ISCN, 76600 Le Havre, FranceNormandie Univ, UNIHAVRE, LMAH, FR-CNRS-3335, ISCN, 76600 Le Havre, FranceNormandie Univ, UNIHAVRE, LMAH, FR-CNRS-3335, ISCN, 76600 Le Havre, FranceOur aim is to propose a new robust and manageable technique, called multi-base harmonic balance method, to detect and characterize the periodic solutions of a nonlinear dynamical system. Our case test is the Hodgkin-Huxley model, one of the most realistic neuronal models in literature. This system, depending on the value of the external stimuli current, exhibits periodic solutions, both stable and unstable.https://www.aimspress.com/article/doi/10.3934/mbe.2018036periodic solutionsharmonic balance methodhodgkin-huxley model |
| spellingShingle | Aymen Balti Valentina Lanza Moulay Aziz-Alaoui A multi-base harmonic balance method applied to Hodgkin-Huxley model Mathematical Biosciences and Engineering periodic solutions harmonic balance method hodgkin-huxley model |
| title | A multi-base harmonic balance method applied to Hodgkin-Huxley model |
| title_full | A multi-base harmonic balance method applied to Hodgkin-Huxley model |
| title_fullStr | A multi-base harmonic balance method applied to Hodgkin-Huxley model |
| title_full_unstemmed | A multi-base harmonic balance method applied to Hodgkin-Huxley model |
| title_short | A multi-base harmonic balance method applied to Hodgkin-Huxley model |
| title_sort | multi base harmonic balance method applied to hodgkin huxley model |
| topic | periodic solutions harmonic balance method hodgkin-huxley model |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2018036 |
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