Analysis and control of the bifurcation of Hodgkin–Huxley model
Author
Abstract
Suggested Citation
DOI: 10.1016/j.chaos.2005.09.060
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- Jing, Zhujun & Yang, Jianping, 2006. "Bifurcation and chaos in discrete-time predator–prey system," Chaos, Solitons & Fractals, Elsevier, vol. 27(1), pages 259-277.
- Peng, Mingshu, 2005. "Multiple bifurcations and periodic “bubbling” in a delay population model," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 1123-1130.
- Guanrong Chen & Jin-quing Fang & Yiguang Hong & Huashu Qin, 2000. "Controlling hopf bifurcations: Discrete-time systems," Discrete Dynamics in Nature and Society, Hindawi, vol. 5, pages 1-5, January.
- Wen, Guilin & Xu, Daolin & Xie, Jianhua, 2005. "Controlling Hopf bifurcations of discrete-time systems in resonance," Chaos, Solitons & Fractals, Elsevier, vol. 23(5), pages 1865-1877.
- Chen, Z. & Yu, P., 2005. "Controlling and anti-controlling Hopf bifurcations in discrete maps using polynomial functions," Chaos, Solitons & Fractals, Elsevier, vol. 26(4), pages 1231-1248.
- Jiang, Wang & Yanqiu, Che & Xiangyang, Fei & Li, Li, 2005. "Multi-parameter Hopf-bifurcation in Hodgkin–Huxley model exposed to ELF external electric field," Chaos, Solitons & Fractals, Elsevier, vol. 26(4), pages 1221-1229.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Hu, Dongpo & Ma, Linyi & Song, Zigen & Zheng, Zhaowen & Cheng, Lifang & Liu, Ming, 2024. "Multiple bifurcations of a time-delayed coupled FitzHugh–Rinzel neuron system with chemical and electrical couplings," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
- Niu, Ben & Wei, Junjie, 2008. "Stability and bifurcation analysis in an amplitude equation with delayed feedback," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1362-1371.
- Xiao, Fangli & Fu, Ziying & Jia, Ya & Yang, Lijian, 2023. "Resonance effects in neuronal-astrocyte model with ion channel blockage," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Wang, Jiang & Chen, Liangquan & Fei, Xianyang, 2007. "Bifurcation control of the Hodgkin–Huxley equations," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 217-224.
- Jiang, Y.D. & Zhang, W. & Zhang, Y.F. & Bi, Q.S., 2024. "Bursting oscillations in coupling Mathieu-van der Pol oscillator under parametric excitation," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
- Zhang, Xue & Zhang, Qing-ling & Zhang, Yue, 2009. "Bifurcations of a class of singular biological economic models," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1309-1318.
- Cui, Yan & Liu, Suhua & Tang, Jiashi & Meng, Yimin, 2009. "Amplitude control of limit cycles in Langford system," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 335-340.
- Wang, P.K.C. & Kogan, B.Y., 2007. "Parametric study of the Noble’s action potential model for cardiac Purkinje fibers," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 1048-1063.
- Lv, Jian Cheng & Yi, Zhang, 2007. "Some chaotic behaviors in a MCA learning algorithm with a constant learning rate," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 1040-1047.
- Gu, En-Guo & Hao, Yu-Dong, 2007. "On the global analysis of dynamics in a delayed regulation model with an external interference," Chaos, Solitons & Fractals, Elsevier, vol. 34(4), pages 1272-1284.
- Zhong, Shihong & Xia, Juandi & Liu, Biao, 2021. "Spatiotemporal dynamics analysis of a semi-discrete reaction-diffusion Mussel-Algae system with advection," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
- Çelik, Canan & Duman, Oktay, 2009. "Allee effect in a discrete-time predator–prey system," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1956-1962.
- Huang, Tousheng & Zhang, Huayong, 2016. "Bifurcation, chaos and pattern formation in a space- and time-discrete predator–prey system," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 92-107.
- Wang, Jiang & Zhang, Ting & Che, Yanqiu, 2007. "Chaos control and synchronization of two neurons exposed to ELF external electric field," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 839-850.
- He, Ji-Huan, 2006. "A modified Hodgkin–Huxley model," Chaos, Solitons & Fractals, Elsevier, vol. 29(2), pages 303-306.
- McAllister, A. & McCartney, M. & Glass, D.H., 2023. "Stability, collapse and hyperchaos in a class of tri-trophic predator–prey models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 628(C).
- Zhao, Jiantao & Wei, Junjie, 2009. "Stability and bifurcation in a two harmful phytoplankton–zooplankton system," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1395-1409.
- Sen, Ayan & Mukherjee, Debasis, 2009. "Chaos in the delay logistic equation with discontinuous delays," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2126-2132.
- Chen, Yanguang, 2009. "Spatial interaction creates period-doubling bifurcation and chaos of urbanization," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1316-1325.
- Salman, S.M. & Yousef, A.M. & Elsadany, A.A., 2016. "Stability, bifurcation analysis and chaos control of a discrete predator-prey system with square root functional response," Chaos, Solitons & Fractals, Elsevier, vol. 93(C), pages 20-31.
- Guangye Chen & Zhidong Teng & Zengyun Hu, 2011. "Analysis of stability for a discrete ratio-dependent predator-prey system," Indian Journal of Pure and Applied Mathematics, Springer, vol. 42(1), pages 1-26, February.
- Yu, Pei & Leung, A.Y.T., 2007. "The simplest normal form and its application to bifurcation control," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 845-863.
- Che, Yanqiu & Liu, Bei & Li, Huiyan & Lu, Meili & Wang, Jiang & Wei, Xile, 2017. "Robust stabilization control of bifurcations in Hodgkin-Huxley model with aid of unscented Kalman filter," Chaos, Solitons & Fractals, Elsevier, vol. 101(C), pages 92-99.
Corrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:31:y:2007:i:1:p:247-256. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.