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

Pattern selection in extended periodically forced systems: a continuum coupled map approach.

S C Venkataramani1, E Ott

  • 1Department of Mathematics, University of Chicago, Chicago, IL 60637, USA. shankar@math.uchicago.edu

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 20, 2001
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

Backpropagation algorithms and Reservoir Computing in Recurrent Neural Networks for the forecasting of complex spatiotemporal dynamics.

Neural networks : the official journal of the International Neural Network Society·2020
Same author

Robustness of network measures to link errors.

Physical review. E, Statistical, nonlinear, and soft matter physics·2014
Same author

UDS-test with freon 11 (R-11).

Environmental science and pollution research international·2013
Same author

Propagation of Gaussian-apodized paraxial beams through first-order optical systems via complex coordinate transforms and ray transfer matrices.

Journal of the Optical Society of America. A, Optics, image science, and vision·2012
Same author

Risk factors associated with surgical site infections following vascular surgery at a German university hospital.

Epidemiology and infection·2012
Same author

[Multiresistant pathogens in surgery].

Der Unfallchirurg·2011

Continuum coupled map (CCM) models offer a new way to simulate complex systems. These models successfully replicate experimental results for vibrated granular layers, suggesting broader applications.

Area of Science:

  • Nonlinear dynamics
  • Complex systems modeling
  • Pattern formation

Background:

  • Periodically forced extended systems often exhibit complex spatiotemporal patterns.
  • Existing modeling approaches may not fully capture the dynamics of these systems.
  • Understanding pattern selection in such systems is crucial for predicting their behavior.

Purpose of the Study:

  • To introduce and validate continuum coupled map (CCM) models for simulating periodically forced extended systems.
  • To demonstrate the efficacy of CCM models using experimental data from vibrated granular layers.
  • To develop a framework for analyzing pattern selection and predicting scaling laws in CCM models.

Main Methods:

  • Development of a simple continuum coupled map (CCM) model incorporating temporal period doubling and spatial patterning.

Related Experiment Videos

  • Application of the CCM model to reproduce experimental observations of vertically vibrated granular layers.
  • Utilizing a truncated modal expansion for analyzing pattern selection within CCM models.

    • Main Results:

    • The CCM model accurately reproduced experimental observations, including temporal period doubling and spatial patterning.
    • The model's success with granular layers suggests applicability to other periodically forced, dissipative systems.
    • Predicted scaling laws for various quantities through modal expansion analysis.

    Conclusions:

    • Continuum coupled map (CCM) models provide a powerful and versatile tool for studying periodically forced extended systems.
    • The CCM approach offers a promising avenue for understanding pattern formation beyond granular materials.
    • The proposed analytical framework and predicted scaling laws warrant experimental verification.