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 Concept Videos

Gauss's Law: Planar Symmetry01:27

Gauss's Law: Planar Symmetry

7.5K
A planar symmetry of charge density is obtained when charges are uniformly spread over a large flat surface. In planar symmetry, all points in a plane parallel to the plane of charge are identical with respect to the charges. Suppose the plane of the charge distribution is the xy-plane, and the electric field at a space point P with coordinates (x, y, z) is to be determined. Since the charge density is the same at all (x, y) - coordinates in the z = 0 plane, by symmetry, the electric field at P...
7.5K
Symmetry in Maxwell's Equations01:28

Symmetry in Maxwell's Equations

2.9K
Once the fields have been calculated using Maxwell's four equations, the Lorentz force equation gives the force that the fields exert on a charged particle moving with a certain velocity. The Lorentz force equation combines the force of the electric field and of the magnetic field on the moving charge. Maxwell's equations and the Lorentz force law together encompass all the laws of electricity and magnetism. The symmetry that Maxwell introduced into his mathematical framework may not be...
2.9K
Plastic Deformations of Members with a Single Plane of Symmetry01:21

Plastic Deformations of Members with a Single Plane of Symmetry

496
When a structural member undergoes plastic deformation due to bending, it is crucial to understand the position of the neutral axis and the stress distribution. This member, characterized by a single plane of symmetry, exhibits a uniform stress distribution, with negative stress above the neutral axis and positive stress below. Notably, the neutral axis does not align with the centroid of the cross-section. This misalignment is typical in cases where the cross-section is not rectangular or...
496
Gauss's Law: Spherical Symmetry01:26

Gauss's Law: Spherical Symmetry

7.2K
A charge distribution has spherical symmetry if the density of charge depends only on the distance from a point in space and not on the direction. In other words, if the system is rotated, it doesn't look different. For instance, if a sphere of radius R is uniformly charged with charge density ρ0, then the distribution has spherical symmetry. On the other hand, if a sphere of radius R is charged so that the top half of the sphere has a uniform charge density ρ1 and the bottom half has...
7.2K
Gauss's Law: Cylindrical Symmetry01:20

Gauss's Law: Cylindrical Symmetry

7.3K
A charge distribution has cylindrical symmetry if the charge density depends only upon the distance from the axis of the cylinder and does not vary along the axis or with the direction about the axis. In other words, if a system varies if it is rotated around the axis or shifted along the axis, it does not have cylindrical symmetry. In real systems, we do not have infinite cylinders; however, if the cylindrical object is considerably longer than the radius from it that we are interested in,...
7.3K
Properties of Fourier series II01:21

Properties of Fourier series II

799
Time scaling of signals is a crucial concept in signal processing that affects the Fourier series representation without altering its coefficients. The process modifies the fundamental frequency, thereby changing how the series represents the signal over time. This principle is essential in various applications, including audio and image processing, where signal manipulation is frequent. Understanding function symmetries is fundamental to simplifying the Fourier series.
A function f(t) is...
799

You might also read

Related Articles

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

Sort by
Same author

Vegetation pattern formation and community assembly under drying climate trends.

Chaos (Woodbury, N.Y.)·2025
Same author

Tree Growth, Contraction and Recovery: Disentangling Soil and Atmospheric Drought Effects.

Plant, cell & environment·2025
Same author

Monitoring urban trees across the world. Report from the Urban Trees Ecophysiology Network (UTEN) inaugural workshop: The Urban Trees Ecophysiology Network inaugural workshop, Georgia Center at the University of Georgia, Athens, United States, March 2023.

The New phytologist·2024
Same author

Phenotypic plasticity: A missing element in the theory of vegetation pattern formation.

Proceedings of the National Academy of Sciences of the United States of America·2023
Same author

Evidence for scale-dependent root-antation feedback and its role in halting the spread of a pantropical shrub into an endemic sedge.

PNAS nexus·2023
Same author

Dryland mechanisms could widely control ecosystem functioning in a drier and warmer world.

Nature ecology & evolution·2022

Related Experiment Video

Updated: Apr 24, 2026

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
13:44

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Published on: August 30, 2013

42.6K

Spatial forcing of pattern-forming systems that lack inversion symmetry.

Lev Haim1, Yair Mau2, Ehud Meron3

  • 1Physics Department, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel and Department of Oncology, Soroka University Medical Center, Beer Sheva, 84101, Israel.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 13, 2014
PubMed
Summary

This study investigates pattern formation in 1D systems under periodic forcing. All resonances exhibit multiple stable states, but 2:1 and 3:1 resonances maintain symmetry, leading to stationary patterns unlike the 1:1 resonance.

More Related Videos

Generating Strictly Controlled Stimuli for Figure Recognition Experiments
05:39

Generating Strictly Controlled Stimuli for Figure Recognition Experiments

Published on: March 18, 2019

4.7K
Mapping the Emergent Spatial Organization of Mammalian Cells using Micropatterns and Quantitative Imaging
09:56

Mapping the Emergent Spatial Organization of Mammalian Cells using Micropatterns and Quantitative Imaging

Published on: April 30, 2019

8.7K

Related Experiment Videos

Last Updated: Apr 24, 2026

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
13:44

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Published on: August 30, 2013

42.6K
Generating Strictly Controlled Stimuli for Figure Recognition Experiments
05:39

Generating Strictly Controlled Stimuli for Figure Recognition Experiments

Published on: March 18, 2019

4.7K
Mapping the Emergent Spatial Organization of Mammalian Cells using Micropatterns and Quantitative Imaging
09:56

Mapping the Emergent Spatial Organization of Mammalian Cells using Micropatterns and Quantitative Imaging

Published on: April 30, 2019

8.7K

Area of Science:

  • Nonlinear dynamics
  • Pattern formation
  • Complex systems

Background:

  • Periodic patterns are fundamental in nature.
  • Understanding pattern behavior under external forcing is crucial.
  • Systems lacking inversion symmetry present unique challenges.

Purpose of the Study:

  • To analyze the entrainment of periodic patterns to spatially periodic parametric forcing.
  • To investigate resonant responses in one-dimensional systems lacking inversion symmetry.
  • To compare the first three n:1 resonances (1:1, 2:1, 3:1).

Main Methods:

  • Weak nonlinear analysis.
  • Study of a simple pattern formation model.
  • Focus on n:1 resonances where system wavenumber is 1/nth of forcing wavenumber.

Main Results:

  • All studied resonances (1:1, 2:1, 3:1) exhibit multiple stable phase states.
  • 2:1 and 3:1 resonances retain symmetry due to discrete translation symmetry, yielding stationary patterns.
  • 1:1 resonance shows propagating phase fronts and transient patterns.
  • Instability is supercritical for 2:1 resonance, subcritical for 1:1 and 3:1.
  • Inversion asymmetry affects resonance range for 1:1 and 3:1, but not 2:1.

Conclusions:

  • Resonant behavior in systems lacking inversion symmetry is complex and diverse.
  • Discrete translation symmetry plays a key role in stabilizing patterns.
  • Differences in instability and response to asymmetry highlight unique characteristics of each resonance.