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C. Chatfield, P. Bloomfield (1977)
Fourier Analysis of Time Series: An IntroductionIEEE Transactions on Systems, Man, and Cybernetics, 7
J.-C. Roux, R. Simoyi, H. Swinney (1983)
Observation of a strange attractorPhysica D: Nonlinear Phenomena, 8
P. Moran (1953)
The statistical analysis of the Canadian Lynx cycle.Australian Journal of Zoology, 1
Patrick Finerty (1979)
Cycles in Canadian LynxThe American Naturalist, 114
M. Bulmer (1974)
A Statistical Analysis of the 10-Year Cycle in CanadaJournal of Animal Ecology, 43
J. Davidson, H. Andrewartha (1948)
Annual Trends in a natural Population of Thrips imaginis (Thysanoptera).Journal of Animal Ecology, 17
Robert Shaw (1981)
Strange Attractors, Chaotic Behavior, and Information FlowZeitschrift für Naturforschung A, 36
M. Gilpin (1973)
Do Hares Eat Lynx?The American Naturalist, 107
D. Ruelle (1979)
SENSITIVE DEPENDENCE ON INITIAL CONDITION AND TURBULENT BEHAVIOR OF DYNAMICAL SYSTEMSAnnals of the New York Academy of Sciences, 316
Martin Weinstein (1977)
Hares, Lynx, and TrappersThe American Naturalist, 111
F. Takens (1981)
Detecting strange attractors in turbulence, 898
P. Moran (1953)
The Statistical Analsis of the Canadian Lynx cycle. 1. Structure and Prediction.Australian Journal of Zoology, 1
W. Schaffer, M. Kot (1985)
Nearly one dimensional dynamics in an epidemic.Journal of theoretical biology, 112 2
Zvi Grossman (1980)
Oscillatory phenomena in a model of infectious diseases.Theoretical population biology, 18 2
Robert May (1974)
Biological Populations with Nonoverlapping Generations: Stable Points, Stable Cycles, and ChaosScience, 186
W. Schaffer (1984)
Stretching and Folding in Lynx Fur Returns: Evidence for a Strange Attractor in Nature?The American Naturalist, 124
K. Dietz (1976)
The Incidence of Infectious Diseases under the Influence of Seasonal Fluctuations
D. Ruelle, F. Takens (1971)
On the nature of turbulenceCommunications in Mathematical Physics, 20
J. Eckmann (1981)
Roads to turbulence in dissipative dynamical systemsReviews of Modern Physics, 53
M. Feigenbaum (1979)
The onset spectrum of turbulencePhysics Letters A, 74
M. Hassell, J. Lawton, R. May (1976)
Patterns of Dynamical Behaviour in Single-Species PopulationsJournal of Animal Ecology, 45
R. May (1976)
Simple mathematical models with very complicated dynamicsNature, 261
James Yorke, Neal Nathanson, Giulio Pianigiani, John Martin (1979)
Seasonality and the requirements for perpetuation and eradication of viruses in populations.American journal of epidemiology, 109 2
J. Davidson, H. Andrewartha (1948)
The Influence of Rainfall, Evaporation and atmospheric Temperature on Fluctuations in the Size of a natural Population of Thrips imaginis (Thysanoptera).Journal of Animal Ecology, 17
W. Schaffer (1985)
Order and Chaos in Ecological SystemsEcology, 66
C. Grebogi, E. Ott, S. Pelikan, J. Yorke (1984)
Strange attractors that are not chaoticPhysica D: Nonlinear Phenomena, 13
Abstract One of the fundamental problems in ecology is understanding the ragged ups and downs in abundance that characterize many natural populations. Recent advances in nonlinear dynamics suggest that even the “noisiest” variation may have its origin in simple deterministic mechanisms. Here we review both the theory and the evidence and conclude that “strange” attractors, the chaotic counterparts to equilibria and limit cycles, may play an important role in ecological systems. This content is only available as a PDF. Author notes Schaffer is with the Department of Ecology and Evolutionary Biology and the Program in Applied Mathematics, and Kot is with the Department of Ecology and Evolutionary Biology, University of Arizona, Tucson, AZ 85721. © 1985 American Institute of Biological Sciences
BioScience – Oxford University Press
Published: Jun 1, 1985
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