Bautin bifurcation analysis for synchronous solution of a coupled FHN neural system with delay

[1]  R. FitzHugh.  Impulses and Physiological States in Theoretical Models of Nerve Membrane. , 1961, Biophysical journal.

[2]  S. Yoshizawa,et al.  An Active Pulse Transmission Line Simulating Nerve Axon , 1962, Proceedings of the IRE.

[3]  J. Hale.  Theory of Functional Differential Equations , 1977 .

[4]  Y. Kuznetsov.  Elements of Applied Bifurcation Theory , 2023, Applied Mathematical Sciences.

[5]  Willy Govaerts,et al.  Numerical Methods for the Generalized Hopf Bifurcation , 2000, SIAM J. Numer. Anal..

[6]  Bard Ermentrout,et al.  Nonlinear Coupling near a Degenerate Hopf (Bautin) Bifurcation , 2003, SIAM J. Appl. Math..

[7]  TETSUSHI UETA,et al.  Bifurcation in asymmetrically coupled BVP oscillators , 2002, 2002 IEEE International Symposium on Circuits and Systems. Proceedings (Cat. No.02CH37353).

[8]  N. Buric,et al.  Dynamics of FitzHugh-Nagumo excitable systems with delayed coupling. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  Hiroshi Kawakami,et al.  Bifurcation and Chaos in Coupled BVP oscillators , 2004, Int. J. Bifurc. Chaos.

[10]  Nikola Buric,et al.  Bifurcations due to Small Time-Lag in Coupled Excitable Systems , 2005, Int. J. Bifurc. Chaos.

[11]  Nebojša Vasović,et al.  Type I vs. type II excitable systems with delayed coupling , 2005 .

[12]  Willy Govaerts,et al.  Computation of the Phase Response Curve: A Direct Numerical Approach , 2006 .

[13]  Anca Veronica Ion.  "An example of Bautin-type bifurcation in a delay differential equation", plus errata , 2007 .

[14]  Xiaofeng Liao,et al.  Bautin bifurcation in a class of two-neuron networks with resonant bilinear terms , 2008 .

[15]  Guanrong Chen,et al.  Bifurcation and synchronization of synaptically coupled FHN models with time delay , 2009 .

[16]  Anca Veronica Ion.  On the Bautin bifurcation for systems of delay differential equations , 2011 .