Bioinspired Cellular Nonlinear Networks working on the edge of chaos
The most widely-used model of the excitation and propagation of impulse (action potential) in nerve membranes is the Hodgkin-Huxley system. In this paper we consider its simplification - a coupled FitzHugh Nagumo model. We shall study its dynamics from the point of view of local activity theory and...
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| Published in: | 2022 11th International Conference on Modern Circuits and Systems Technologies (MOCAST) pp. 1 - 4 |
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| Main Authors: | , |
| Format: | Conference Proceeding |
| Language: | English |
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IEEE
08-06-2022
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| Abstract | The most widely-used model of the excitation and propagation of impulse (action potential) in nerve membranes is the Hodgkin-Huxley system. In this paper we consider its simplification - a coupled FitzHugh Nagumo model. We shall study its dynamics from the point of view of local activity theory and we shall define the edge of chaos region in which complex behavior appears. Simulations show that oscillatory patterns, chaotic patterns, or divergent patterns may emerge if the selected cell parameters are located in locally-active domains but near the edge of chaos. |
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| AbstractList | The most widely-used model of the excitation and propagation of impulse (action potential) in nerve membranes is the Hodgkin-Huxley system. In this paper we consider its simplification - a coupled FitzHugh Nagumo model. We shall study its dynamics from the point of view of local activity theory and we shall define the edge of chaos region in which complex behavior appears. Simulations show that oscillatory patterns, chaotic patterns, or divergent patterns may emerge if the selected cell parameters are located in locally-active domains but near the edge of chaos. |
| Author | Ignatov, Ventsislav Slavova, Angela |
| Author_xml | – sequence: 1 givenname: Angela surname: Slavova fullname: Slavova, Angela email: angela.slavova@gmail.com organization: Bulgarian Academy of Sciences,Institute of Mathematics and Informatics,Sofia,Bulgaria – sequence: 2 givenname: Ventsislav surname: Ignatov fullname: Ignatov, Ventsislav email: ventzi_2004@yahoo.com organization: Ruse University "Angel Kanchev",Ruse,Bulgaria |
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| Snippet | The most widely-used model of the excitation and propagation of impulse (action potential) in nerve membranes is the Hodgkin-Huxley system. In this paper we... |
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| SubjectTerms | Biological system modeling Chaos Computational modeling Computer simulation coupled FitzHugh Nagumo CNN edge of chaos Hodgkin Huxley model Mathematical models Optical fiber networks pattern formation Self-organizing networks |
| Title | Bioinspired Cellular Nonlinear Networks working on the edge of chaos |
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