نوسانات آمیخته‌گونه در مدل فیتزهو-رینزل

1. Rinzel J., "A Formal Classification of Bursting Mechanisms in Excitable Systems", Mathematical Topics in Population Biology, Morphogenesis and Neurosciences. vol 71., (1987) 267-281.## 2. Hodgkin A. L., Huxley A. F, "A quantitative description of membrane current and application to conduction and excitation in nerve", J. Physiol. , 117, (1952) 500-544. ## 3. Channell P., Cymbalyuk G., Shilnikov A, "Origin of Bursting through Homoclinic Spike Adding in a Neuron Model", Phys Rev Lett. 98, (2007) 134101-1. ## 4. Del Negro C. A, Hasiao C. F. Chandler S. H. Garfinkel A., "Evidence for a novel bursting mechanism in rodent trigeminal neurons, Biophys J. (1998) 174-182. ## 5. Desroches M., Guckenheimer J., Krauskopf B., Kuehn Ch., H. M. Osinga, M. Wechselberger, "Mixed-Mode Oscillations with Multiple Time Scales", SIAM Review, Vol. 54, Issue 2, (2012) 211-288. ## 6. Desroches M, Krauskopf B, Osinga H. M, "Mixed-mode oscillations and slow manifolds in the self-coupled FitzHugh-Nagumo system", Chaos 18, An Interdisciplinary Journal of Nonlinear Science, (2008) 15-35. ## 7. E.Izhikevich, Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting, MIT Press (2007). 8. Wojcik J., Shilnikov A, "Voltage interval mappings for activity transitions in neuron models for elliptic bursters", Physica D: Nonlinear Phenomena, Vol. 240, Issues 14-15, (2011) 1164-1180. ## 9. Lawrence Perko, "Differential Equations and Dynamical Systems".## 10. Ermentrout, G. Bard, Terman, David H, "Mathematical Foundations of Neuroscience, Springer (2010). ## 11. Petrov S. K. S. V., Showalter K., "Mixedmode oscillations in chemical systems," J. Chem. Phys. 97 (1992) 6191–6196. ## 12. Koper M., Gaspard P., "Mlxed-mode and chaotic osclllations in a sim- ple model of an electrochemical oscillator," J. Phys. Chem. 95 (1991) 4945-4947. ## 13. Albahadily J. R. F. N., Schell M., "Mixedmode oscillations in an elec- trochemical system. i. a farey sequence which does not occur on a torus," J. Chemical Physics 90 (1989) 813-821. ## 14. Schell M., Albahadily F. N., "Mixedmode oscillations in an electro- chemical system. ii. a periodic–chaotic sequence," J. Chemical Physics 90 (1989) 822-828. ## 15. Rubin J., Wechselberger M., "The selection of mixed-mode oscillations in a hodgkin-huxley model with multiple timescales," Chaos: An Interdis- ciplinary Journal of Nonlinear Science 18, 015105 (2008). ## 16. Mikikian L. C. Y. T. M., Cavarroc M., Boufendi L., "Mixed-mode os- cillations in complex plasma instabilities," PRL 100, 225005 (2008). ## 17. Roberts M. W. A., Widiasih E., Jones C., "Mixed mode oscillations in a conceptual climate model," Physica D: Nonlinear Phenomena 292–293 (2015) 70-83. ## 18. Hirsch M. W., Pugh C. C., Shub M., "Invariant Manifolds", Part of the Lecture Notes in Mathematics book series (LNM, Vol. 583) Springer (1977). ##