Excitable systems with internal and coupling delays

被引:12
作者
Buric, Nikola [1 ]
Grozdanovic, Ines [2 ]
Vasovic, Nebojsa [2 ]
机构
[1] Inst Phys, Belgrade 11000, Serbia
[2] Fac Mining & Geol, Dept Appl Math, Belgrade, Serbia
关键词
D O I
10.1016/j.chaos.2006.09.061
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Two delayed coupled excitable systems with internal delays are studied. For different parametric values each of the isolated units displays excitable, bi-stable or oscillatory dynamics. Bifurcational relations among coupling time-lag and coupling constant for different values of the internal time-lags are obtained. Possible types of synchronization between the units in typical dynamical regimes are studied. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码:853 / 861
页数:9
相关论文
共 19 条
[1]   STABILITY AND BIFURCATIONS OF EQUILIBRIA IN A MULTIPLE-DELAYED DIFFERENTIAL-EQUATION [J].
BELAIR, J ;
CAMPBELL, SA .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1994, 54 (05) :1402-1424
[2]   Bifurcations due to small time-lag in coupled excitable systems [J].
Buric, N ;
Todorovic, D .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2005, 15 (05) :1775-1785
[3]   Type I vs. type II excitable systems with delayed coupling [J].
Buric, N ;
Grozdanovic, I ;
Vasovic, N .
CHAOS SOLITONS & FRACTALS, 2005, 23 (04) :1221-1233
[4]   Oscillations in an excitable system with time-delays [J].
Buric, N .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2003, 13 (11) :3483-3488
[5]   Dynamics of FitzHugh-Nagumo excitable systems with delayed coupling [J].
Buric, N ;
Todorovic, D .
PHYSICAL REVIEW E, 2003, 67 (06) :15
[6]   Dynamics of delay-differential equations modelling immunology of tumor growth [J].
Buric, N ;
Todorovic, D .
CHAOS SOLITONS & FRACTALS, 2002, 13 (04) :645-655
[7]  
Campbell SA, 1999, DYN CONTIN DISCRET I, V5, P225
[8]   Delay induced periodicity in a neural netlet of excitation and inhibition [J].
Gopalsamy, K ;
Leung, I .
PHYSICA D, 1996, 89 (3-4) :395-426
[9]  
Gopalsamy K., 2013, Stability and Oscillations in Delay Differential Equations of Population Dynamics, V74
[10]  
Hale J.K., 1993, Introduction to Functional Differential Equations, DOI DOI 10.1007/978-1-4612-4342-7