Auditory nerve fiber modeling: A stochastic Melnikov approach

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 57, Issue 5, 1998, Pages 5870-5876

  Franaszek, Marek ^a   Simiu, Emil ^a  

^a NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001202310     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.5870     Document Type: Article

References (19)

1. J. R. Rose, J. F. Brugge, D. Anderson, and J. E. Hind, J. Neurophysiol. 30, 769 (1967).
2. M. A. Ruggero, J. Neurophysiol. 36, 569 (1973).
3. I. J. Hochmair-Desoyer, E. S. Hochmair, H. Motz, and F. Rattay, Neuroscience 13, 553(1984).
4. A. Longtin, J. Stat. Phys. 70, 309 (1993).
5. S. Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chaos (Springer-Verlag, New York, 1988).
6. M. Frey and E. Simiu, Physica D 63, 321 (1993); PDNPDT
7. E. Simiu and M. Frey, J. Eng. Mech. 122, 263(1996).
8. Y. Sivathanu, C. Hagwood, and E. Simiu, Phys. Rev. E 52, 4669 (1995).
9. J. K. Douglass, L. Wilkens, E. Pantazelou, and F. Moss. Nature (London) 365, 337 (1993); NATUAS
10. Nature (London)J. E. Levin and J. P. Miller, 380, 165 (1996)
11. J. J. Collins, T. T. Imhoff, and P. Grigg, J. Neurophysiol. 76, 642 (1996); JONEA4
12. P. Cordo, T. Inglis, S. Verschueren, J. J. Collins, D. M. Merfeld, S. Rosenblum, S. Buckley, and F. Moss, Nature (London) 383, 769 (1996); NATUAS
13. Nature (London)J. J. Collins, T. Imhoff, and P. Grigg, 383, 770 (1996).
14. M. Franaszek and E. Simiu, Phys. Rev. E 54, 1298 (1996).
15. S. O. Rice, in Selected Papers on Noise and Stochastic Processes, edited by N. Wax (Dover, New York, 1954).
16. M. Franaszek and E. Simiu, Phys. Lett. A 205, 127 (1995).
17. S. Wiggins, Global Bifurcations and Chaos (Springer-Verlag, New York, 1990).
18. J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Springer-Verlag, New York, 1990).
19. J. E. Hind, D. J. Anderson, J. F. Brugge, and J. R. Rose, J. Neurophysiol. 30, 794 (1967). JONEA4