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

Reducing or enhancing chaos using periodic orbits.

R Bachelard1, C Chandre, X Leoncini

  • 1Centre de Physique Théorique, CNRS Luminy, Case 907, F-13288 Marseille cedex 09, France.

Chaos (Woodbury, N.Y.)
|July 11, 2006
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

Unraveling Dicke Superradiant Decay with Separable Coherent Spin States.

Physical review letters·2025
Same author

Multipartite entanglement encoded in the photon-number basis by sequential excitation of a three-level system.

Optics letters·2023
Same author

Generation of Maximally Entangled Long-Lived States with Giant Atoms in a Waveguide.

Physical review letters·2023
Same author

Dipole-Dipole Frequency Shifts in Multilevel Atoms.

Physical review letters·2021
Same author

Subradiance with Saturated Atoms: Population Enhancement of the Long-Lived States.

Physical review letters·2021
Same author

Nonadiabatic effects in the double ionization of atoms driven by a circularly polarized laser pulse.

Physical review. E·2020
Same journal

Topological dependence of viral mutation spread in complex host-interaction networks.

Chaos (Woodbury, N.Y.)·2026
Same journal

Multifractal signatures of Hamiltonian chaos in Hyperion's rotational dynamics.

Chaos (Woodbury, N.Y.)·2026
Same journal

Exploring mechanisms for reversal of flow in tunicate hearts.

Chaos (Woodbury, N.Y.)·2026
Same journal

State estimation in spatiotemporal chaos via low-rank StatFEM.

Chaos (Woodbury, N.Y.)·2026
Same journal

Universal response functions in driven dissipative tunneling dynamics.

Chaos (Woodbury, N.Y.)·2026
Same journal

A network-based approach to characterize the dynamics of the coupling field of thermoacoustic oscillators in annular geometry.

Chaos (Woodbury, N.Y.)·2026
See all related articles

Researchers developed a method to control chaos in two-degree-of-freedom Hamiltonian systems. By perturbing periodic orbits, they can either reduce or enhance system chaos, demonstrating its application with a forced pendulum model.

Area of Science:

  • * Physics
  • * Dynamical Systems Theory
  • * Chaos Theory

Background:

  • * Hamiltonian systems with two degrees of freedom often exhibit complex chaotic behavior.
  • * Controlling chaos in such systems is crucial for understanding and predicting their dynamics.

Purpose of the Study:

  • * To introduce a novel method for reducing or enhancing chaos in two-degree-of-freedom Hamiltonian flows.
  • * To investigate the relationship between local bifurcations of periodic orbits and the creation/destruction of invariant tori.

Main Methods:

  • * The method involves introducing a perturbation to the Hamiltonian system.
  • * Analysis focuses on the stability of periodic orbits and local bifurcations.
  • * The study examines the role of residues in determining linear stability properties.

Related Experiment Videos

Main Results:

  • * A direct correlation was found between the stability of periodic orbits and the presence of invariant tori.
  • * The perturbation method successfully controlled the level of chaos by either destroying or creating invariant tori.
  • * The forced pendulum, a paradigmatic system, served to illustrate the efficacy of the proposed method.

Conclusions:

  • * The developed method offers a precise way to manage chaotic dynamics in Hamiltonian systems.
  • * Local bifurcations of periodic orbits are key mechanisms for controlling chaos.
  • * The findings have implications for understanding complex systems in physics and beyond.