Analytical considerations in the study of spatial patterns arising from nonlocal interaction effects

Journal of Physical Chemistry B

Volumn 108, Issue 29, 2004, Pages 10505-10508

  Fuentes, M A ^a   Kuperman, M N ^a,b   Kenkre, V M ^a  

^a UNIVERSITY OF NEW MEXICO   (United States)

^b INSTITUTO BALSEIRO   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

FISHER EQUATIONS; NONLOCAL INTERACTION EFFECTS; PATTERN FORMATION; SPATIAL PATTERNS;

BACTERIA; BESSEL FUNCTIONS; COMPETITION; ECOLOGY; FOURIER TRANSFORMS; OSCILLATIONS; TOXICITY;

NONLINEAR SYSTEMS;

EID: 3442892965     PISSN: 15206106     EISSN: None     Source Type: Journal    
DOI: 10.1021/jp040090k     Document Type: Article

References (12)

1. Fuentes, M. A.; Kuperman, M. N.; Kenkre, V. M. Phys. Rev. Lett. 2003, 91, 15.
2. Kenkre, V. M. In Patterns, Noise, and the Interplay of Nonlinearity and Complexity, Kenkre, V. M., Lindenberg, K., Eds.; Proceedings of the PASI on Modern Challenges in Statistical Mechanics; AIP: New York, 2003.
3. Fisher, R. A. Ann. Eugen. London 1937, 7, 355-369.
4. Murray, J. D. Mathematical Biology; Springer-Verlag: Berlin, 1993.
5. Nicolis, G. Introduction to non linear science; Cambridge University Press: Cambridge, U.K., 1995.
6. Rabinovich, M. I.; Ezersky, A. B.; Weidman, P. D. The Dynamics of Patterns; World Scientific: London, 2000.
7. Newell, A. C. In Patterns Formation in the Physical and Biological Science; Nijhout, H. F., Nadel, L., Stein, D. L., Eds.; Lecture Notes of the Santa Fe Institute; Addison-Wesley: Reading, MA, 1997; Vol. V.
8. Tsallis, C. J. Stat. Phys. 1988, 52, 449.
9. Gradshteyn, I. S.; Ryzhuk, I. M. Table of Integrals, Series, and Products, 5th ed.; Academic Press: New York, p 465.
10. Fuentes, M. A.; Kenkre, V. M. Preprint, University of New Mexico, Albuquerque, NM.
11. Billingham, J. Nonlinearity 2003, 17, 313-345.
12. Sayama, H.; de Aguiar, M. A. M.; Bar-Yam, Y.; Baranger, M. Phys. Rev. E 2002, 65, 051919.