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Experimental demonstration of chaos in a microbial food web

Author

Listed:
  • Lutz Becks

    (University of Cologne)

  • Frank M. Hilker

    (University of Osnabrück)

  • Horst Malchow

    (University of Osnabrück)

  • Klaus Jürgens

    (Max Planck Institute for Limnology
    Baltic Sea Research Institute)

  • Hartmut Arndt

    (University of Cologne)

Abstract

It's chaos out there There is intense debate on the extent to which the behaviour of natural systems is chaotic. Epidemics, heart attacks and food web interactions display chaotic dynamics, but a real-life experimental tool with which to study the role of chaos has been elusive. Now a continuous culture system containing a protozoan predator and two coexisting prey bacteria has been developed for the analysis of the different facets of behaviour on the edge of chaos.

Suggested Citation

  • Lutz Becks & Frank M. Hilker & Horst Malchow & Klaus Jürgens & Hartmut Arndt, 2005. "Experimental demonstration of chaos in a microbial food web," Nature, Nature, vol. 435(7046), pages 1226-1229, June.
    • Handle: RePEc:nat:nature:v:435:y:2005:i:7046:d:10.1038_nature03627
    DOI: 10.1038/nature03627
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    Cited by:

    1. Bildirici, Melike E. & Sonustun, Bahri, 2021. "Chaotic behavior in gold, silver, copper and bitcoin prices," Resources Policy, Elsevier, vol. 74(C).
    2. Toth, Damon J.A., 2008. "Strong resonance and chaos in a single-species chemostat model with periodic pulsing of resource," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 55-69.
    3. David G. Green, 2023. "Emergence in complex networks of simple agents," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 18(3), pages 419-462, July.
    4. Shang, Zuchong & Qiao, Yuanhua, 2024. "Complex dynamics of a four-species food web model with nonlinear top predator harvesting and fear effect," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 223(C), pages 458-484.
    5. Occhipinti, Guido & Solidoro, Cosimo & Grimaudo, Roberto & Valenti, Davide & Lazzari, Paolo, 2023. "Marine ecosystem models of realistic complexity rarely exhibits significant endogenous non-stationary dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    6. Nguyen, Dang H. & Nguyen, Nhu N. & Yin, George, 2020. "General nonlinear stochastic systems motivated by chemostat models: Complete characterization of long-time behavior, optimal controls, and applications to wastewater treatment," Stochastic Processes and their Applications, Elsevier, vol. 130(8), pages 4608-4642.
    7. Tapia Cortez, Carlos A. & Hitch, Michael & Sammut, Claude & Coulton, Jeff & Shishko, Robert & Saydam, Serkan, 2018. "Determining the embedding parameters governing long-term dynamics of copper prices," Chaos, Solitons & Fractals, Elsevier, vol. 111(C), pages 186-197.
    8. Richard Ottermanns & Kerstin Szonn & Thomas G Preuß & Martina Roß-Nickoll, 2014. "Non-Linear Analysis Indicates Chaotic Dynamics and Reduced Resilience in Model-Based Daphnia Populations Exposed to Environmental Stress," PLOS ONE, Public Library of Science, vol. 9(5), pages 1-13, May.
    9. Sakai, Kenshi & Noguchi, Yuko & Asada, Shin-ichi, 2008. "Detecting chaos in a citrus orchard: Reconstruction of nonlinear dynamics from very short ecological time series," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1274-1282.
    10. Tapia, Carlos & Coulton, Jeff & Saydam, Serkan, 2020. "Using entropy to assess dynamic behaviour of long-term copper price," Resources Policy, Elsevier, vol. 66(C).
    11. C. A. Tapia Cortez & J. Coulton & C. Sammut & S. Saydam, 2018. "Determining the chaotic behaviour of copper prices in the long-term using annual price data," Palgrave Communications, Palgrave Macmillan, vol. 4(1), pages 1-13, December.
    12. Pal, Nikhil & Samanta, Sudip & Chattopadhyay, Joydev, 2014. "Revisited Hastings and Powell model with omnivory and predator switching," Chaos, Solitons & Fractals, Elsevier, vol. 66(C), pages 58-73.
    13. Aijun Liu & Lu Cai & Fan Chen, 2022. "Evolutionary Path and Sustainable Optimization of an Innovation Ecosystem for a High-Tech Enterprise Based on Empirical Evidence from Hubei Province," Sustainability, MDPI, vol. 15(1), pages 1-15, December.
    14. Liu Baisen & Wang Liangliang & Cao Jiguo, 2018. "Bayesian estimation of ordinary differential equation models when the likelihood has multiple local modes," Monte Carlo Methods and Applications, De Gruyter, vol. 24(2), pages 117-127, June.
    15. Chowdhury, Pranali Roy & Banerjee, Malay & Petrovskii, Sergei, 2023. "Coexistence of chaotic and non-chaotic attractors in a three-species slow–fast system," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).

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