Non-chaos-mediated mixed-mode oscillations in an extended Hindmarsh-Rose neuronal oscillator with time delay
This paper proposes an extended neuron model with time delay. It aims to investigate the effect of time delay on the dynamical behavior of the system under different conditions. The existence of the Hopf bifurcation of the system and the stability of its periodic solution are proved by the central m...
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Published in | Thermal science Vol. 26; no. 3 Part B; pp. 2427 - 2438 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
2022
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Online Access | Get full text |
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Summary: | This paper proposes an extended neuron model with time delay. It aims to
investigate the effect of time delay on the dynamical behavior of the
system under different conditions. The existence of the Hopf bifurcation of
the system and the stability of its periodic solution are proved by the
central manifold theorem. Numerical results show that the system has
abundant dynamical performance, including chaos, period-adding, and
intermittent chaos. |
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ISSN: | 0354-9836 2334-7163 |
DOI: | 10.2298/TSCI2203427Z |