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

Coupled maps with local and global interactions.

Noriyuki Bob Ouchi1, Kunihiko Kaneko

  • 1Research Institute of Electrical Communications, Tohoku University, Sendai, 980-8577, Japan.

Chaos (Woodbury, N.Y.)
|June 5, 2003
PubMed
Summary

This study introduces a coupled map lattice model to explore hierarchical pattern dynamics. Researchers identified distinct phases and observed a bubble formation/collapse cascade, relevant to natural pattern formation.

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

Adhesion and polarity-driven morphogenesis: Mechanisms and constraints in tissue formation.

PLoS computational biology·2026
Same author

Modeling time to visual insight in Mooney image recognition with a chaotic recurrent neural network.

Cognitive neurodynamics·2026
Same author

Enzyme as Maxwell's Demon: Steady-State Deviation from Chemical Equilibrium by Enhanced Enzyme Diffusion.

Physical review letters·2026
Same author

Stability control of metastable states as a unified mechanism for flexible temporal modulation in cognitive processing.

Neural networks : the official journal of the International Neural Network Society·2025
Same author

Fluctuation-learning relationship in recurrent neural networks.

Nature communications·2025
Same author

Generalizing the central dogma as a cross-hierarchical principle of biology.

Philosophical transactions of the Royal Society of London. Series B, Biological sciences·2025

Area of Science:

  • Complex Systems
  • Nonlinear Dynamics
  • Statistical Physics

Background:

  • Hierarchical pattern formation involves interactions at multiple length scales.
  • Coupled map lattices are used to model complex spatiotemporal dynamics.
  • Understanding pattern formation is crucial for various scientific disciplines.

Purpose of the Study:

  • To investigate a coupled map lattice model with local and global couplings.
  • To classify distinct dynamical phases based on structural and statistical properties.
  • To explore the emergence of hierarchical patterns and their relevance to natural phenomena.

Main Methods:

  • Development and analysis of a coupled map lattice model.
  • Classification of system phases using domain structures, chaotic dynamics, distribution functions, and power spectra.
  • Characterization of emergent states via spatiotemporal correlation and Lyapunov exponents.

Main Results:

  • Several distinct phases were identified and classified.
  • A cascade process of bubble formation and collapse was observed in specific parameter regimes.
  • The system exhibited spatiotemporal power-law correlation and a limited number of positive Lyapunov exponents.
  • A two-dimensional case demonstrated a dynamic extension of Turing patterns.

Conclusions:

  • The coupled map lattice model effectively captures hierarchical pattern dynamics.
  • The observed phenomena, including bubble cascades and Turing-like patterns, offer insights into natural pattern formation.
  • The study highlights the interplay between local and global couplings in generating complex spatiotemporal structures.

Related Experiment Videos