Canard Mechanism and Rhythm Dynamics of Neuron Models
Author
Abstract
Suggested Citation
Download full text from publisher
References listed on IDEAS
- Brøns, Morten & Kaasen, Rune, 2010. "Canards and mixed-mode oscillations in a forest pest model," Theoretical Population Biology, Elsevier, vol. 77(4), pages 238-242.
- Zhan, Feibiao & Su, Jianzhong & Liu, Shenquan, 2023. "Canards dynamics to explore the rhythm transition under electromagnetic induction," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
- Richard B. Sowers, 2008. "Random Perturbations of Canards," Journal of Theoretical Probability, Springer, vol. 21(4), pages 824-889, December.
- Morten Brøns & Mathieu Desroches & Martin Krupa, 2015. "Mixed-Mode Oscillations Due to a Singular Hopf Bifurcation in a Forest Pest Model," Mathematical Population Studies, Taylor & Francis Journals, vol. 22(2), pages 71-79, June.
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.- Wen, Zihao & Li, Zhijun & Li, Xiang, 2019. "Bursting oscillations and bifurcation mechanism in memristor-based Shimizu–Morioka system with two time scales," Chaos, Solitons & Fractals, Elsevier, vol. 128(C), pages 58-70.
- Huang, Juanjuan & Bi, Qinsheng, 2023. "Mixed-mode bursting oscillations in the neighborhood of a triple Hopf bifurcation point induced by parametric low-frequency excitation," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
- Rinaldi, Sergio, 2012. "Recurrent and synchronous insect pest outbreaks in forests," Theoretical Population Biology, Elsevier, vol. 81(1), pages 1-8.
- Morten Brøns & Mathieu Desroches & Martin Krupa, 2015. "Mixed-Mode Oscillations Due to a Singular Hopf Bifurcation in a Forest Pest Model," Mathematical Population Studies, Taylor & Francis Journals, vol. 22(2), pages 71-79, June.
- Irina Bashkirtseva & Grigoriy Ivanenko & Dmitrii Mordovskikh & Lev Ryashko, 2023. "Canards Oscillations, Noise-Induced Splitting of Cycles and Transition to Chaos in Thermochemical Kinetics," Mathematics, MDPI, vol. 11(8), pages 1-9, April.
More about this item
Keywords
canards; neuron model; singular perturbation system; transient dynamics; discharge; rhythm transition;All these keywords.
Statistics
Access and download statisticsCorrections
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:gam:jmathe:v:11:y:2023:i:13:p:2874-:d:1180295. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.