Travelling waves for a neural network

Electronic Journal of Differential Equations

Volumn 2003, Issue , 2003, Pages 1-4

  Chen, Fengxin ^a  

^a UNIVERSITY OF TEXAS AT SAN ANTONIO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3042626066     PISSN: 10726691     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

1. P. W. Bates and F. Chen, Periodic travelling wave solutions of an integrodifferential model for phase transition, Electronic J. Differential Equations, 26 (1999) 1-19.
2. P. W. Bates and A. Chmaj, A discrete convolution model for phase transitions, Arch. Rational Mech. Anal., 150 (1999), 281-305.
3. P. W. Bates, P. C. Fife, X. Ren, and X.Wang, Traveling waves in a nonlocal model of phase transitions, Arch. Rat. Mech. Anal., 138 (1997), 105-136.
4. F. Chen, Almost Periodic Traveling Waves of Nonlocal Evolution Equations J. Nonlinear Anal.,50 (2002), 807-838.
5. Z. Chen, B. Ermentrout, B. McLeod, Traveling fronts for a class of nonlocal convolution differential equations. Appl. Anal. 64 (1997), no. 3-4, 235-253.
6. B. Ermentrout, B. McLeod, Existence and uniqueness of travelling waves for a neural network. Proc. Roy. Soc. Edinburgh Sect. A 123 (1993), no. 3, 461-478.
7. X. Chen, Existence, uniqueness and asymptotic stability of travelling waves in nonlocal evolution equations, Adv. Diff. Eqs., 2 (1997), 125-160.
8. A. de Masi, E. Orlandi, E. Presutti, and L. Triolo, Uniqueness of the instanton profile and global stability in nonlocal evolution equations, Rend. Math., 14 (1994), 693-723.
9. M. Katsoulakis and P. S. Souganidis, Interacting particle systems and generalized mean curvature evolution, Arch. Rat Mech. Anal., 127 (1994), 133-157.