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Related Experiment Video

Updated: Jan 22, 2026

One Dimensional Turing-Like Handshake Test for Motor Intelligence
14:05

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Published on: December 15, 2010

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Edge rewiring for network Turing patterns.

Nicholas Hayes1

  • 1Department of Mathematics, University of Oxford, Andrew Wiles Building, Woodstock Rd, Oxford OX2 6GG, United Kingdom.

Chaos (Woodbury, N.Y.)
|January 21, 2026
PubMed
Summary
This summary is machine-generated.

We developed a topological control method to engineer Turing patterns in networks. This approach uses targeted destabilization to guide pattern formation, showing promise for real-world applications.

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Area of Science:

  • Network Science
  • Mathematical Biology
  • Complex Systems

Background:

  • Turing patterns are crucial for understanding biological development and pattern formation.
  • Existing methods for controlling network patterns are limited.
  • Topological network properties influence emergent phenomena.

Purpose of the Study:

  • To investigate a topological control mechanism for mediating Turing patterns on networks.
  • To extend the framework proposed by Cencetti et al. (2017).
  • To demonstrate a method for engineering network-driven pattern formation.

Main Methods:

  • Extending a theoretical framework for network pattern control.
  • Proving boundedness results for targeted destabilization.
  • Mapping Laplacian mode shifts to structural network interventions.
  • Numerical simulations on various graph models.

Main Results:

  • Demonstrated the efficacy of topological control for Turing pattern mediation.
  • Established theoretical expectations for pattern formation on ring lattices.
  • Showcased the link between network structure and pattern emergence.

Conclusions:

  • Topological control offers a viable mechanism for engineering Turing patterns in networks.
  • The proposed method provides a pathway toward better understanding and application of network pattern formation.
  • This research bridges theoretical network science with practical applications in pattern engineering.