Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Paradox of simple limiter control.

Frank M Hilker1, Frank H Westerhoff

  • 1Gulbenkian Institute of Science, Apartado 14, 2781-901 Oeiras, Portugal. fhilker@uos.de

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 29, 2006
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Connectivity, conservation and catch: Understanding the effects of dispersal between harvested and protected patches.

Theoretical population biology·2025
Same author

The effect of dispersal on asymptotic total population size in discrete- and continuous-time two-patch models.

Journal of mathematical biology·2023
Same author

Spatial spread of infectious diseases with conditional vector preferences.

Journal of mathematical biology·2023
Same author

Intrinsic nonlinear dynamics drive single-species systems.

Proceedings of the National Academy of Sciences of the United States of America·2022
Same author

Towards Building a Sustainable Future: Positioning Ecological Modelling for Impact in Ecosystems Management.

Bulletin of mathematical biology·2021
Same author

Comparison between best-response dynamics and replicator dynamics in a social-ecological model of lake eutrophication.

Journal of theoretical biology·2020
Same journal

Tension on dsDNA bound to ssDNA-RecA filaments may play an important role in driving efficient and accurate homology recognition and strand exchange.

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Amplitude-phase coupling drives chimera states in globally coupled laser networks [Phys. Rev. E 91, 040901(R) (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Shapes of sedimenting soft elastic capsules in a viscous fluid [Phys. Rev. E 92, 033003 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Attenuation of excitation decay rate due to collective effect [Phys. Rev. E 90, 022142 (2014)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Role of connectivity and fluctuations in the nucleation of calcium waves in cardiac cells [Phys. Rev. E 92, 052715 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Lattice Boltzmann approach for complex nonequilibrium flows [Phys. Rev. E 92, 043308 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
See all related articles

Simple chaos control methods using limiters can unexpectedly shift a system's average state. This finding has significant implications for managing populations, such as pests and diseases.

Area of Science:

  • Complex systems dynamics
  • Nonlinear control theory
  • Population ecology

Background:

  • Chaos control is a method to stabilize irregular fluctuations.
  • Simple limiters offer an accessible approach to chaos control.
  • Controlling dynamics often aims to restrict system fluctuations.

Purpose of the Study:

  • To investigate the impact of limiter control on the mean value of a state variable.
  • To analyze the countereffective consequences of limiter control in certain scenarios.
  • To explore the implications of this control effect on population dynamics management.

Main Methods:

  • Application of limiter control to a state variable within a model.
  • Analysis of the resulting shift in the mean value of the state variable.

Related Experiment Videos

  • Examination of a population dynamics model to illustrate the effect.

    • Main Results:

    • Limiter control significantly shifts the mean value of a state variable.
    • This shift can be counterproductive when the goal is to restrict dynamics.
    • The effect was demonstrated using a population dynamics model.

    Conclusions:

    • Applying simple limiter control can lead to unintended shifts in mean values.
    • This phenomenon has critical implications for managing pest species.
    • The findings are also relevant for controlling the spread of epidemics.