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Related Experiment Videos

Control of Turing pattern formation by delayed feedback.

Qian Shu Li1, Lin Ji

  • 1School of Science, Beijing Institute of Technology, Beijing 100081, China. qsli@bit.edu.cn

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 1, 2004
PubMed
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Global delayed feedback significantly impacts Turing pattern formation time. Strong feedback can suppress or induce patterns in the modified Lengyel-Epstein model.

Area of Science:

  • * Chemical kinetics and reaction-diffusion systems.
  • * Nonlinear dynamics and pattern formation.

Background:

  • * Turing patterns are fundamental to understanding pattern formation in biological and chemical systems.
  • * Investigating external influences like delayed feedback is crucial for controlling pattern emergence.

Purpose of the Study:

  • * To analyze the influence of global delayed feedback on Turing pattern formation.
  • * To explore the roles of feedback intensity, delay time, and feedback-imposing time.

Main Methods:

  • * Utilized a modified Lengyel-Epstein two-variable reaction-diffusion model.
  • * Simulated pattern formation under varying global delayed feedback parameters.

Main Results:

  • * Feedback intensity, delay time, and feedback-imposing time significantly affect Turing pattern formation time.

Related Experiment Videos

  • * Sufficiently strong delayed feedback can suppress or induce Turing patterns.

    • Conclusions:

    • * Global delayed feedback is a powerful tool for controlling Turing pattern formation.
    • * The modified Lengyel-Epstein model demonstrates tunable pattern emergence through feedback manipulation.