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

Dissipative chaotic scattering.

Adilson E Motter1, Ying-Cheng Lai

  • 1Department of Mathematics, Center for Systems Science and Engineering Research, Arizona State University, Tempe, Arizona 85287, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|January 22, 2002
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

Optimizing disorder with machine learning to harness phase synchronization.

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

Controlling severe atopic dermatitis dynamics.

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

Unsupervised Learning for Anticipating Critical Transitions.

Physical review letters·2026
Same author

Noncooperative Quantum Networks.

Physical review letters·2026
Same author

How heterogeneity shapes dynamics and computation in the brain.

Neuron·2025
Same author

Neuromorphic reservoir computing.

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

Tension on dsDNA bound to ssDNA-RecA filaments may play an important role in driving efficient and accurate homology recognition and strand exchange.

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Amplitude-phase coupling drives chimera states in globally coupled laser networks [Phys. Rev. E 91, 040901(R) (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Shapes of sedimenting soft elastic capsules in a viscous fluid [Phys. Rev. E 92, 033003 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Attenuation of excitation decay rate due to collective effect [Phys. Rev. E 90, 022142 (2014)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Role of connectivity and fluctuations in the nucleation of calcium waves in cardiac cells [Phys. Rev. E 92, 052715 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Lattice Boltzmann approach for complex nonequilibrium flows [Phys. Rev. E 92, 043308 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
See all related articles

Weak dissipation significantly alters particle-decay laws in chaotic scattering, even at low levels. This finding challenges previous conclusions about fractal dimensions in scattering functions, impacting our understanding of nonhyperbolic chaotic systems.

Area of Science:

  • Physics
  • Complex Systems
  • Nonlinear Dynamics

Background:

  • Chaotic scattering describes systems where initial conditions lead to unpredictable trajectories.
  • Nonhyperbolic chaotic scattering is a specific type with unique properties.
  • Dissipation, energy loss, is often present in real-world physical systems.

Purpose of the Study:

  • To investigate the effect of weak dissipation on nonhyperbolic chaotic scattering.
  • To determine if dissipation alters fundamental properties of chaotic scattering, such as particle-decay laws.
  • To re-evaluate previous conclusions regarding fractal dimensions in scattering functions.

Main Methods:

  • Theoretical analysis of chaotic scattering models.
  • Mathematical modeling to incorporate weak dissipation.

Related Experiment Videos

  • Examination of scattering functions and their singularities.

    • Main Results:

    • Weak dissipation, even when minimal, fundamentally changes the particle-decay law in nonhyperbolic chaotic scattering.
    • The presence of dissipation alters the expected behavior of the system.
    • The previously observed unity of the fractal dimension of singularities in scattering functions may become unobservable.

    Conclusions:

    • Realistic levels of dissipation have a metamorphic effect on nonhyperbolic chaotic scattering.
    • The impact of dissipation on particle-decay laws is significant and unavoidable.
    • Key theoretical claims about fractal dimensions in chaotic scattering may require revision due to dissipation.