Coexistence and chaos in complex ecologies

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 335, Issue 2-3, 2005, Pages 207-212

  Sprott, J C ^a   Vano, J A ^a   Wildenberg, J C ^a   Anderson, M B ^a   Noel, J K ^a  

^a UNIVERSITY OF WISCONSIN MADISON   (United States)

Author keywords

Adaptation; Chaos; Complexity; Ecology; Lotka Volterra

Indexed keywords

CHAOS THEORY; CHAOTIC SYSTEMS;

ADAPTATION; CHAOTIC FLUCTUATIONS; COMPLEX DYNAMICAL SYSTEMS; COMPLEXITY; DETERMINISTIC MECHANISM; LOTKA-VOLTERRA; SELF ORGANIZATIONS;

ECOLOGY;

ADAPTATION; ARTICLE; BIOMASS; CALCULATION; ECOLOGY; ECONOMIC ASPECT; MOLECULAR DYNAMICS; MOLECULAR INTERACTION; MOLECULAR MODEL; MOLECULAR PHYSICS;

EID: 12544254305     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2004.12.068     Document Type: Article

References (36)

1. S.L. Pimm The Balance of Nature? 1991 University of Chicago Press Chicago
2. K.S. McCann Nature 405 2000 228
3. M.R. Gardner, and W.R. Ashby Nature 228 1970 784
4. R.M. May Stability and Complexity in Model Ecosystems 1973 Princeton Univ. Press Princeton
5. S.L. Pimm, and J.H. Lawton Nature 275 1978 542
6. E.P. Odum Fundamentals of Ecology 1953 Saunders Philadelphia
7. R.H. MacArthur Ecology 36 1955 533
8. C.S. Elton Ecology of Invasions by Animals and Plants 1958 Chapman & Hall London
9. C. Godfray, and M. Hassell Science 275 1997 323
10. R.F. Constantino, R.A. Desharnais, J.M. Cushing, and B. Dennis Science 275 1997 389
11. C. Zimmer Science 284 1999 83
12. S.P. Ellner, and P. Turchin Am. Nat. 145 1995 343
13. J.D. Murray Mathematical Biology 1993 Springer Berlin
14. P. Yodzis Nature 289 1981 674
15. J.C. Sprott Phys. Lett. A 325 2004 329
16. R. Law J. McGlade Advanced Ecological Theory: Principles and Applications 1999 Blackwell Oxford 143 171
17. K. Tokita, and A. Yasutomi Theor. Popul. Biol. 63 2003 131
18. K. Yoshida Ecol. Model. 163 2003 131
19. B. Drossel, A.J. McKane, and C. Quince J. Theor. Biol. 229 2004 539
20. A.J. Lotka Elements of Physical Biology 1925 Williams and Wilkins Baltimore, MD
21. V. Volterra Memorie dell'Academia dei Lincei 2 1926 31
22. R.H. MacArthur Theor. Popul. Biol. 1 1970 1
23. J. Coste, J. Peyraud, and P. Coullet SIAM J. Appl. Math. 36 1979 516
24. S. Smale J. Math. Biol. 3 1976 5
25. C.S. Holling Adaptive Environmental Assessment and Management 1978 Wiley London
26. K. Tokita, and A. Yasutomi Theor. Popul. Biol. 63 2003 131
27. Z.I. Dimitrova, and N.K. Vitanov Physica A 300 2001 91
28. L.R. Ginzburg, H.R. Akçakaya, and J. Kim J. Theor. Biol. 133 1988 513
29. R. Happel, and P.F. Stadler J. Theor. Biol. 195 1998 329
30. P.M. Vitousek, H.A. Mooney, J. Lubchenco, and J.M. Melillo Science 277 1977 494
31. J.C. Sprott Chaos and Time-Series Analysis 2003 Oxford Univ. Press Oxford pp. 116-117
32. L. Barreira, and Y.B. Pesin Lyapunov Exponents and Smooth Ergodic Theory 2002 American Mathematical Society Providence, RI
33. S.J. Gould, and N. Eldridge Paleobiology 3 1977 115
34. J. Kaplan, and J. Yorke H.-O. Peitgen H.-O. Walther Functional Differential Equations and Approximation of Fixed Points Lecture Notes in Mathematics vol. 730 1979 Springer Berlin 228 237
35. H.M. Hastings J. Theor. Biol. 97 1982 155
36. M. Waldrop Complexity: The Emerging Science at the Edge of Order and Chaos 1992 Simon and Schuster New York