Erratum: Global asymptotic coherence in discrete dynamical systems (Proceedings of the National Academy of Sciences of the United States of America (March 14, 2006) 103, 11 (3968-3971) DOI: 10.1073/pnas.0511000103);Global asymptotic coherence in discrete dynamical systems

Proceedings of the National Academy of Sciences of the United States of America

Volumn 103, Issue 11, 2006, Pages 3968-3971

  Earn, David J D ^a   Levin, Simon A ^b  

^a MCMASTER UNIVERSITY   (Canada)

^b PRINCETON UNIVERSITY   (United States)

Author keywords

Global stability; Metapopulation dynamics; Synchronization; Synchrony

Indexed keywords

ARTICLE; CALCULATION; CONCEPTUAL FRAMEWORK; COUPLED MAP LATTICE; DENSITY; DYNAMICS; ECOSYSTEM; ENDANGERED SPECIES; GLOBAL ASYMPTOTIC COHERENCE; INFECTION; MATHEMATICAL ANALYSIS; METAPOPULATION; PEST CONTROL; PRIORITY JOURNAL; SPECIES CONSERVATION; SPECIES DISTRIBUTION; STOCHASTIC MODEL; TIME;

EID: 33645212232     PISSN: 00278424     EISSN: None     Source Type: Journal    
DOI: 10.1073/pnas.0609526103     Document Type: Erratum

References (25)

1. Earn, D. J. D., Levin, S. A. & Rohani, P. (2000) Science 290, 1360-1364.
2. Earn, D. J. D., Rohani, P. & Grenfell, B. T. (1998) Proc. R. Soc. London Ser. B 265, 7-10.
3. Brazier, M. A. B. (1972) in Mechanisms of Synchronization in Epileptic Seizures, eds. Petsche, H. & Brazier, M. A. B. (Springer, Vienna), pp. 409-424.
4. Towle, V. L., Carder, R. K., Khorasani, L. & Lindberg, D. (1999) J. Clin. Neurophysiol. 16, 528-547.
5. Engel, A. K., Konig, P., Kreiter, A. K. & Singer, W. (1991) Science 252, 1177-1179.
6. Kaneko, K., ed. (1993) Theory and Applications of Coupled Map Lattices, Nonlinear Science: Theory and Applications (Wiley, Toronto).
7. May, R. M. (1976) Nature 261, 459-467.
8. Collet, P. & Eckmann, J.-P. (1980) Iterated Maps on the Interval as Dynamical Systems, Progress in Physics (Birkhäuser, Basel), Vol. 1.
9. Guckenheimer, J. & Holmes, P. (1983) Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, Applied Mathematical Sciences (Springer, New York), Vol 42.
10. Strogatz, S. H. (1994) Nonlinear Dynamics and Chaos (Addison Wesley, New York).
11. Hanski, I. A. & Gilpin, M. E., eds. (1997) Metapopulation Biology: Ecology, Genetics, and Evolution (Academic, San Diego).
12. Horn, R. A. & Johnson, C. R. (1985) Matrix Analysis (Cambridge Univ. Press, Cambridge, U.K.).
13. Kaneko, K. (1989) Phys. Rev. Lett. 63, 219-223.
14. Hastings, A. (1993) Ecology 74, 1362-1372.
15. Sole, R. V. & Gamarra, J. G. P. (1998) J. Theor. Biol. 193, 539-541.
16. Bohr, T., Jensen, M. H., Paladin, G. & Vulpiani, A. (1998) Dynamical Systems Approach to Turbulence, Cambridge Nonlinear Science Series (Cambridge Univ. Press, Cambridge, U.K.), Vol. 8.
17. Silva, J. A. L., deCastro, M. L. & Justo, D. A. R. (2000) Bull. Math. Biol. 62, 337-349.
18. Walters, P. (1982) An Introduction to Ergodic Theory, Graduate Texts in Mathematics (Springer, New York), Vol. 79.
19. Buescu, J. (1997) Exotic Attractors: From Liapunov Stability to Riddled Basins, Progress in Mathematics (Birkhauser, Basel), Vol. 153.
20. Hirsch, M. W., Pugh, C. C. & Shub, M. (1977) Invariant Manifolds, Lecture Notes in Mathematics (Springer, New York), Vol. 583.
21. Wiggins, S. (1994) Normally Hyperbolic Invariant Manifolds in Dynamical Systems, Applied Mathematical Sciences (Springer, New York), Vol. 105.
22. Dieudonne, J. (1969) Foundations of Modern Analysis, Pure and Applied Mathematics (Academic, New York), Vol. 10.
23. Pikovsky, A., Rosenblum, M. & Kurths, J., eds. (2001) Synchronization: A Universal Concept in Nonlinear Sciences, Cambridge Nonlinear Science Series (Cambridge Univ. Press, Cambridge), Vol. 12.
24. Jansen, V. A. A. & Lloyd, A. L. (2000) J. Math. Biol. 41, 232-252.
25. Lloyd, A. L. & Jansen, V. A. A. (2004) Math. Biosci. 188, 1-16.