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

Estimating the escape zone for a parametrically excited pendulum-type equation

Stewart1, Faulkner

  • 1Department of Mathematics, University of Strathclyde, Livingstone Tower, 26 Richmond Street, Glasgow G1 1XH, United Kingdom.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|November 23, 2000
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

Dermatophytosis in show lambs in the United States.

Veterinary dermatology·2021
Same author

A Case of Cerebro-Spinal Meningitis. Recovery.

Edinburgh medical journal·2018
Same author

Notes on Sanitation.

The Indian medical gazette·2017
Same author

Some Observations on the Use of Opium in Uterine Hemorrhagy.

Medico-chirurgical transactions·2010
Same author

Purposeless movements. [rheumatic fever].

Case reports. Children's Memorial Hospital (Chicago, Ill.)·2010
Same author

Jumping champions

Scientific American·2000
Same journal

Efficient Monte Carlo simulations using a shuffled nested Weyl sequence random number generator.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Spatiotemporal dynamics of electromagnetic pulses in saturating nonlinear optical media with normal group velocity dispersion.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Soliton-breather reaction pathways.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Calculation of electromagnetic properties of regular and random arrays of metallic and dielectric cylinders.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Electromagnetic convective cells in a nonuniform dusty plasma.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Stability of neural networks and solitons of field theory.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
See all related articles

This study identifies theoretical bifurcation curves to predict escape regimes in nonlinear pendulum equations. These findings offer refined bounds for smectic liquid crystal dynamics, improving upon existing methods.

Area of Science:

  • Nonlinear Dynamics
  • Theoretical Physics
  • Materials Science

Background:

  • Parametrically excited nonlinear pendulums are widely used models.
  • Understanding escape dynamics is crucial for predicting system behavior.
  • Smectic liquid crystals exhibit complex nonlinear dynamics.

Purpose of the Study:

  • To derive theoretical results for bifurcation curves.
  • To establish bounds for escape regimes in a 2D parameter space.
  • To apply these results to smectic liquid crystal equations.

Main Methods:

  • Derivation of theoretical results for bifurcation curves.
  • Analysis of a nonlinear pendulum equation extension.
  • Application to smectic liquid crystal dynamics.

Related Experiment Videos

Main Results:

  • Theoretical bounds for anticipated escape regimes were determined.
  • The derived results provide refined predictions for smectic liquid crystals.
  • Qualitative similarity to existing methods was observed, with improved refinement.

Conclusions:

  • The derived theoretical results offer a robust method for bounding escape regimes.
  • The application to smectic liquid crystals demonstrates the practical utility and refinement of the method.
  • This work contributes to a deeper understanding of nonlinear dynamics in physical systems.